# Quantum: The Magazine of Math and Science

We hope you make great use of the *Quantum* archive!

*Please note: the files are quite large, so please be patient while downloading them.*

### Call to collaborate

We invite you to create your own collections of *Quantum* articles, organizing them by topic, author, department, science standard, and so on. All we ask is that you (1) send a copy of your collection PDF to webdirector@nsta.org; (2) keep in mind that NSTA retains the copyright to the material; (3) allow NSTA to share your collection at our discretion.

- Pilot issue 1: January 1990
- Pilot issue 2: May 1990
- Vol. 1 No. 1: September/October 1990
- Vol. 1 No. 2: November/December 1990
- Vol. 1 No. 3: January/February 1991
- Vol. 1 No. 4: March/April 1991
- Vol. 2 No. 1: September/October 1991
- Vol. 2 No. 2: November/December 1991
- Vol. 2 No. 3: January/February 1992
- Vol. 2 No. 4: March/April 1992
- Vol. 2 No. 5: May/June 1992
- Vol. 2 No. 6: July/August 1992
- Vol. 3 No. 1: September/October 1992
- Vol. 3 No. 2: November/December 1992
- Vol. 3 No. 3: January/February 1993
- Vol. 3 No. 4: March/April 1993
- Vol. 3 No. 5: May/June 1993
- Vol. 3 No. 6: July/August 1993
- Vol. 4 No. 1: September/October 1993
- Vol. 4 No. 2: November/December 1993
- Vol. 4 No. 3: January/February 1994
- Vol. 4 No. 4: March/April 1994
- Vol. 4 No. 5: May/June 1994
- Vol. 4 No. 6: July/August 1994
- Vol. 5 No. 1: September/October 1994
- Vol. 5 No. 2: November/December 1994
- Vol. 5 No. 3: January/February 1995
- Vol. 5 No. 4: March/April 1995
- Vol. 5 No. 5: May/June 1995
- Vol. 5 No. 6: July/August 1995
- Vol. 6 No. 1: September/October 1995
- Vol. 6 No. 2: November/December 1995
- Vol. 6 No. 3: January/February 1996

- Vol. 6 No. 4: March/April 1996
- Vol. 6 No. 5: May/June 1996
- Vol. 6 No. 6: July/August 1996
- Vol. 7 No. 1: September/October 1996
- Vol. 7 No. 2: November/December 1996
- Vol. 7 No. 3: January/February 1997
- Vol. 7 No. 4: March/April 1997
- Vol. 7 No. 5: May/June 1997
- Vol. 7 No. 6: July/August 1997
- Vol. 8 No. 1: September/October 1997
- Vol. 8 No. 2: November/December 1997
- Vol. 8 No. 3: January/February 1998
- Vol. 8 No. 4: March/April 1998
- Vol. 8 No. 5: May/June 1998
- Vol. 8 No. 6: July/August 1998
- Vol. 9 No. 1: September/October 1998
- Vol. 9 No. 2: November/December 1998
- Vol. 9 No. 3: January/February 1999
- Vol. 9 No. 4: March/April 1999
- Vol. 9 No. 5: May/June 1999
- Vol. 9 No. 6: July/August 1999
- Vol. 10 No. 1: September/October 1999
- Vol. 10 No. 2: November/December 1999
- Vol. 10 No. 3: January/February 2000
- Vol. 10 No. 4: March/April 2000
- Vol. 10 No. 5: May/June 2000
- Vol. 10 No. 6: July/August 2000
- Vol. 11 No. 1: September/October 2000
- Vol. 11 No. 2: November/December 2000
- Vol. 11 No. 3: January/February 2001
- Vol. 11 No. 4: March/April 2001
- Vol. 11 No. 5: May/June 2001
- Vol. 11 No. 6: July/August 2001

### Article Index

The articles are listed in alphabetical order by title. You can use your web browser’s “Find” function to search by author, title, description, department, or date (see the format used below).

**Note:** In addition to the articles listed below, each issue of *Quantum* contained math and physics problems, “brainteasers,” a solution section, a department called Gallery Q that tied works of art to topics in the magazine, a chess column (in the early years), a science crossword puzzle (from November/December 1992 on), and a bulletin board.

#### A

**About the Triangle** (it may be the simplest polygon, but it gave rise to an entire branch of mathematics), Mar/Apr00, p31 (Kaleidoscope)

**Algebraic and Transcendental Numbers** (2/3, *e*, √2, π—things like that), N. Feldman, Jul/Aug00, p22 (Feature)

**An Act of Divine Providence** (Kepler excerpt), Yuly Danilov, May/Jun93, p41 (Anthology)

**Adding Angles in Three Dimensions** (taking a plane theorem into the realm of polyhedrons), A. Shirshov and A. Nikitin, May/Jun97, p46 (At the Blackboard)

**The Advent of Radio** (why radio was invented when it was), Pavel Bliokh, Nov/Dec96, p4 (Feature)

**Adventures Among Pt-sets** (math challenge), George Berzsenyi, Mar/Apr91, p55 (Contest)

**The Adventures of Hans Pfaall and Fatty Pyecraft** (questionable physics in stories by Poe and Wells), V. Nevgod, Jan90, p14 (Quantum Smiles)

**Against the Current** (evaluating fluid resistance), Alexander Mitrofanov, May/Jun96, p22 (Feature)

**AHSME-AIME-USAMO-IMO** (introduction to math competitions), Nov/Dec90, p52 (Happenings)

**Airplanes in Ozone** (effect of high-flying aircraft on stratospheric ozone), Albert Stasenko, May/Jun95, p20 (Feature)

**Alexandrian Astronomy Today** (the method found by Eratosthenes in the third century B.C. still works), Case Rijsdijk, Sep/Oct99, p35 (At the Blackboard)

**All Bent Out of Shape** (a look at many kinds of deformation), Sep/Oct95, p32 (Kaleidoscope)

**All Sorts of Sorting** (classification algorithms), P. Blekher and M. Kelbert, Jul/Aug97, p12 (Feature)

**Always a New Face to Show** (theorems about polyhedrons), May/Jun93, p32 (Kaleidoscope)

**The Amazing Paraboloid** (double refraction and energy redistribution), M. I. Feingold, Jul/Aug94, p40 (At the Blackboard)

**The A-maze-ing Rubik’s Cube** (a new variation), Vladimir Dubrovsky, Sep/Oct91, p64 (Toy Store)

**The American Mathematics Correspondence School** (I. M. Gelfand’s project for high school students), Nov/Dec93, p51 (Happenings)

**The American Regions Mathematics League** (summer competition), Mark Saul, May90, p56 (Happenings)

**American Team Garners Six Gold Medals at 35th IMO** (report on International Mathematical Olympiad), Nov/Dec94, p52 (Happenings)

**Amusing Electrolysis** (current thinking in chemistry), N. Paravyan, May/Jun98, p41 (In the Lab)

**An Ant on a Tin Can** (finding the shortest path from A to B), Igor Akulich, Sep/Oct97, p50 (At the Blackboard)

**The Ancient Numbers Pi and Tau** (approximating pi and using the golden ratio tau), Jan/Feb91, p28 (Kaleidoscope)

**Animal Magnetism** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun93, p28 (Physics Contest)

**A. N. Kolmogorov** (biographical sketch), Jan90, p38 (Innovators)

**Anniversaries** (satellites and science reform), Gerry Wheeler, Nov/Dec97, p2 (Front Matter)

**The Annual Puzzle Party** (report and samples), Anatoly Kalinin, Jul/Aug94, p56 (Toy Store)

**Another Perpetual Motion Project?** (a feasibility foray), A. Stasenko, Jan/Feb99, p39 (At the Blackboard)

**The Anthropic Principle** (humans and the universe), A. Kuzin, Jan/Feb99, p4 (Feature)

**Anticipating Future Things** (science education in 2044), Bill G. Aldridge, Jul/Aug94, p2 (Publisher’s Page)

**“Are We Almost There, Captain?”** (Columbus’s geographical problems), Glenn M. Edwards, Sep/Oct92, p52 (Looking Back)

**Are You Relatively Sure?** (relativity in its many forms), A. Leonovich, Sep/Oct96, p32 (Kaleidoscope)

**Arithmetic Obstacles** (analyzing the possibility of moving from one position to another), N. Vaguten, Jul/Aug99, p4 (Feature)

**Arithmetic on Graph Paper** (planar numbers, gnomons, Pythagorean triples, and triangular numbers), Semyon Gindikin, Mar/Apr95, p49 (At the Blackboard)

**Around and Around She Goes** (the motion of merry-go-rounds), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr98, p30 (Physics Contest)

**An Arresting Sight** (the stroboscopic effect), V. Uteshev, Jul/Aug01, p30 (Now Showing)

**As Easy as ( a, b, c)?** (Pythagorean triples), S. M. Voronin and A. G. Kulagin, Jan/Feb99, p34 (Feature)

**The Ashen Light of the Moon** (the how, when, and why of a faint lunar glow), Alexey Byalko, Sep/Oct96, p40 (In the Open Air)

**The “Assayer” Weighs the Facts** (Galileo excerpt), Yuly Danilov, Nov/Dec92, p43 (Anthology)

**Atlantic Crossings** (graphical method for motion problems), A. Rozental, Jul/Aug93, p46 (In Your Head)

**Atmospherics** (physics of the Earth’s atmosphere), A. V. Byalko, Mar/Apr91, p12 (Feature)

**At Sixes and Sevens** (math challenge), George Berzsenyi, May90, p35 (Contest)

**Atwood’s Marvelous Machines** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug93, p42 (Physics Contest)

**Auxiliary Polynomials** (solving equations with polynomials), L. D. Kurlyandchik and S. V. Fomin, Sep/Oct98, p42 (At the Blackboard)

**Ax by Sea** (actually, *ax* + *by* = *c*: approaches to Diophantine equations), Boris Kordemsky, Nov/Dec96, p22 (Feature)

#### B

**Baby, It’s Cold Out There!** (“cosmic cold” and thermal radiation), Albert Stasenko, Mar/Apr92, p12 (Feature)

**Backtracking to Faraday’s Law** (threshold voltage in electrolysis), Alexey Byalko, Jan/Feb94, p20 (Feature)

**Bad Milk** (a dynamic system gone sour), Dr. Mu, Sep/Oct97, p63 (Cowculations)

**Ballpark Estimates** (Fermi problems), David Halliday, May90, p30 (In Your Head)

**Barn Again** (a smooth move), Dr. Mu, Jul/Aug98, p62 (Cowculations)

**Batteries and Bulbs** (progressively more complicated circuits), Larry D. Kirkpatrick and Arthur Eisenkraft, Jul/Aug00, p32 (Physics Contest)

**The Beetle and the Rubber Band** (mind-stretching problem), Alexander A. Pukhov, Mar/Apr94, p42 (At the Blackboard)

**Behind the Mirror** (measuring the thickness of the reflecting layer), N. M. Rostovtsev, Jan/Feb96, p37 (In the Lab)

**Behind the Scenes at the IMO** (report and IMO questions), Vladimir Dubrovsky, Mar/Apr93, p53 (Happenings)

**Bell Curve? What Bell Curve?** (response to the May/June 1995 Publisher’s Page), Paul Horwitz, Jan/Feb96, p27 (Feedback)

**Below Absolute Zero** (who said it’s impossible?), Henry D. Schreiber, Jan/Feb97, p23 (Feature)

**Be More Clever Than Chris!** (Columbus’s egg trick), Yakov Perelman, Sep/Oct92, p54 (insert)

**Bend This Sheet** (developable surfaces), Dmitry Fuchs, Jan90, p16 (Feature)

**Beyond the Reach of Ohm’s Law** (interesting phenomena where the law doesn’t apply), Sergey Murzin, Mikhail Trunin, and Dmitry Shovkun, Nov/Dec94, p24 (Feature)

**Billiard Math** (reflections on simple optical reflection), Anatoly Savin, Nov/Dec96, p28 (Kaleidoscope)

**The Birth of Low-temperature Physics** (properties of helium near absolute zero), A. Buzdin and V. Tugushev, Jan/Feb01, p12 (Feature)

**Bobbing for Knowledge** (experiments with a hollow plastic ball), Pavel Kanayev, Mar/Apr95, p30 (In the Lab)

**Bohr’s Quantum Leap** (history of atomic theory), A. Korzhuyev, Jan/Feb99, p42 (Looking Back)

**Boiling Liquid** (how a bubble chamber works), A. Borovoi, Mar/Apr00, p54 (In the Lab)

**Boing, Boing, Boing …** (what happens after the second bounce, and the third, ...), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug96, p30 (Physics Contest)

**The Bombs Bursting in Air** (a look at sample problems and their social significance), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct96, p34 (Physics Contest)

**Borsuk’s Problem** (*n*-dimensionality meets combinatorics), Arkady Skopenkov, Sep/Oct96, p16 (Feature)

**The Borsuk–Ulam Theory** (horsing around with continuous functions on a circle), M. Krein and A. Nudelman, Jul/Aug00, p16 (Feature)

**Botanical Geometry** (triangular “flowers” and Torricelli circles), Sep/Oct90, p32 (Kaleidoscope)

**Bottling Milk** (so many bottle sizes!), Dr. Mu, Mar/Apr97, p63 (Cowculations)

**The Bounding Main** (physics of sea swells), Ivan Vorobyov, May/Jun94, p20 (Feature)

**Boy-oh-buoyancy!** (problems in fluid statics), Alexander Buzdin and Sergey Krotov, Sep/Oct90, p27 (Feature)

**Braids and Knots** (primer on knot theory), Alexey Sosinsky, Jan/Feb95, p10 (Feature)

**Breakfast of Champions** (acquiring a full set of baseball cards in boxes of cereal), Don Piele, Mar/Apr01, p55 (Informatics)

**Breaking Up is Hard to Do** (nuclear fission), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct99, p30 (Physics Contest)

**A Brewer and Two Doctors** (origins of the law of conservation of energy), Gennady Myakishev, May/Jun96, p43 (Looking Back)

**Bridging the Gap** (between classical and quantum mechanics, teacher and student), Bill G. Aldridge, Nov/Dec95, p2 (Publisher’s Page)

**A Brilliant Idea** (poem), David Arns, Jul/Aug97, p33

**Brocard Points** (properties of points inside a triangle), V. Prasolov, Mar/Apr01, p22 (At the Blackboard)

**Bubbles in Puddles** (their size, shape, and longevity), Alexander Mitrofanov, Jul/Aug95, p4 (Feature)

**A Burst of Green** (mathematics of plant growth), Alexander Vedenov and Oleg Ivanov, May/Jun93, p10 (Feature)

**Bushels of Pairs** (graphical primer), Andrey N. Kolmogorov, Nov/Dec93, p4 (Feature)

**But What Does It Mean?** (the thinking behind the symbols), Bill G. Aldridge, Mar/Apr96, p2 (Publisher’s Page)

#### C

**Calculating Pi** (the contribution of Christiaan Huygens), Valery Vavilov, May/Jun92, p44 (Looking Back)

**Calculus and Inequalities** (three problems, one method), V. Ovsienko, Jan/Feb01, p38 (At the Blackboard)

**Calendar Calculations** (“Doomsday” rule), John Conway, Jan/Feb91, p46 (Mathematical Surprises)

**“Can-do” Competitors in Canberra** (report on the XXVI International Physics Olympiad), Larry D. Kirkpatrick, Nov/Dec95, p53 (Happenings)

**Canopies and Bottom-flowing Streams** (a spoonful of physics), Ivan Vorobyov, Jul/Aug95, p45 (In the Lab)

**Cantor Cheese** (recursive designs), Don Piele, Jan/Feb00, p53 (Informatics)

**Can White Be Blacker Than Black?** (black-body demonstration), V. V. Mayer, Sep/Oct92, p23 (In the Lab)

**Can You Carry Water in a Sieve?** (investigations of the surface layer), A. Dozorov, Jul/Aug00, p44 (In the Lab)

**“Can You Hear Me?”** (some thoughts on the history of human communication), Bill G. Aldridge, Jul/Aug96, p2 (Publisher’s Page)

**Can You See the Magnetic Field?** (using a TV as a detector), Alexander Mitrofanov, Jul/Aug97, p18 (Feature)

**Can You Trace the Rays?** (ray diagrams), A. Leonovich, May/Jun99, p28 (Kaleidoscope)

**A Cardioid for a Mushroom Picker** (the curvy path of a lost forager), S. Bogdanov, Jul/Aug99, p34 (At the Blackboard)

**Card Party** (a seating problem), Don Piele, Jul/Aug01, p50 (Informatics)

**Carl Friedrich Gauss, Part I** (a biographical sketch of a prince of mathematics), S. Gindinkin, Nov/Dec99, p14 (Feature)

**Carl Friedrich Gauss, Part II**, S. Gindinkin, Jan/Feb00, p10 (Feature)

**The Case of the Mythical Beast** (Holmes and the Helmholtz resonator), Roman Vinokur, Nov/Dec93, p10 (Feature)

**Catch as Catch Can** (the theory of gravitational capture), Y. Osipov, Jan/Feb92, p38 (Looking Back)

**Catching Up on Rays and Waves** (a rhapsody on wavelengths and the Stefan–Boltzmann law), Albert Stasenko, Jul/Aug00, p10 (Feature)

**Cauchy and Induction** (a simpler proof of his famous inequality), Y. Solovyov, Jan/Feb01, p37 (At the Blackboard)

**Caught in the Web** (interesting World Wide Web sites), Sep/Oct95, p53 (Happenings)

**The Century of the Cycloid** (historical patterns), S. G. Gindikin, Mar/Apr99, p36 (Looking Back)

**A Chebyshev Polyplayground** (recurrence relations applied to a famous set of formulas), N. Vasilyev and A. Zelevinsky, Sep/Oct99, p20 (Feature)

**Chebyshev’s Problem** (polynomials of least deviation from zero), S. Tabachnikov and S. Gashkov, Sep/Oct94, p12 (Feature)

**The Chemical Elements** (curiosities from the periodic table), Sheldon Lee Glashow, May90, p14 (Getting to Know …)

**Chess Puzzles and Real Chess** (what happens when the two worlds intersect), Yevgeny Gik, Sep/Oct96, p64 (Toy Store)

**Chopping Up Pick’s Theorem** (triangulation and polygonal partition), Nikolay Vasilyev, Jan/Feb94, p49 (At the Blackboard)

**Chores** (how long will they take on your theoretical farm?), Don Piele, Jul/Aug00, p55 (Informatics)

**Circular Reasoning** (inscribed angles), Mark Saul and Benji Fisher, Nov/Dec97, p34 (Gradus ad Parnassum)

**A Circuitous Route** (“relevance” in science education), Bill G. Aldridge, Jul/Aug93, p2 (Publisher’s Page)

**Circuits and Symmetry** (cutting down on algebra), Gary Haardeng-Pedersen, Jul/Aug95, p28 (At the Blackboard)

**Circumcircles to the Rescue!** (useful technique for solving certain problems), D. F. Izaak, Jan/Feb91, p32 (At the Blackboard)

**The Clamshell Mirrors** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr92, p48 (Physics Contest)

**Clarity, Reality, and the Art of Photography** (an examination of “depth of field”), Mark L. Biermann, Sep/Oct95, p26 (Feature)

**Classic Writings from the History of Science** (Plutarch’s “Concerning the Face Which Appears in the Orb of the Moon”), Yuly Danilov, Mar/Apr92, p42 (Anthology)

**Click, click, click …** (physics challenge), Arthur Eisenkraft and Larry Kirkpatrick, Sep/Oct90, p41 (Contest)

**A Clock Wound for All Time** (the Earth as a timepiece—can it measure its own age?), V. I. Kuznetsov, May/Jun97, p26 (Feature)

**Cloud Formulations** (a moist air mass went over the mountain), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb95, p36 (Physics Contest)

**Coalescing Droplets** (surface tension and drops), A. Varlamov, May/Jun99, p26 (At the Blackboard)

**Cold Boiling** (just add water), S. Krotov and A. Chernoutsan, Jan/Feb99, p33 (In the Lab)

**Colder Means Slower** (the Arrhenius equation), Henry D. Schreiber, Jul/Aug97, p4 (Feature)

**A Collapsible Saddle** (model of a hyperbolic paraboloid), Vladimir Dubrovsky, Jan/Feb91, p56 (Toy Store)

**Color Creation** (partial “rainbows” in oil slicks), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun97, p36 (Physics Contest)

**Combinatorics-polynomials-probability** (permutations and binomial coefficients), Nikolay Vasilyev and Victor Gutenmacher, Mar/Apr93, p18 (At the Blackboard)

**Come, Bossy** (rounding up the herd), Dr. Mu, May/Jun98, p63 (Cowculations)

**Competitive Computing in Stockholm** (1994 International Olympiad in Informatics), Donald T. Piele, Nov/Dec94, p53 (Happenings)

**The Complete Quadrilateral** (definition and peculiar properties), I. Sharygin, Jul/Aug97, p28 (Kaleidoscope)

**Completing a Tetrahedron** (a geometrical trick of the trade), I. F. Sharygin, Jul/Aug99, p46 (At the Blackboard)

**Completing the Square** (quadratic equations), Mark Saul and Titu Andreescu, Nov/Dec98, p35 (Gradus ad Parnassum)

**The Conductor of a Set** (an old problem revisited and feedback), George Berzsenyi, May/Jun96, p37 (Math Investigations)

**Confessions of a Clock Lover** (the cosmic consequences of switching hands), V. M. Babovic, Sep/Oct96, p44 (Horological Surprises)

**Considerations of Continuity** (wobbly chair and other problems), S. L. Tabachnikov, May90, p8 (Feature)

**Constructing Quadratic Solutions** (a novel use for compass and straightedge), A. A. Presman, Jan/Feb98, p42 (At the Blackboard)

**Constructing Triangles from Three Given Parts** (186 problems), George Berzsenyi, Jul/Aug94, p30 (Math Investigations)

**Constructing Triangles from Three Located Points** (20 out of 139 problems still need solving), George Berzsenyi, Sep/Oct94, p54 (Math Investigations)

**Construction Program** (regular polygons, Euler’s function, and Fermat numbers), Alexander Kirillov, Mar/Apr96, p10 (Feature)

**Constructions with Compass Alone** (Mohr–Mascheroni theorem), Dmitry Fuchs, May90, 47 (At the Blackboard)

**Contact** (number bit patterns), Dr. Mu, Nov/Dec98, p52 (Cowculations)

**Contented Cows** (finding all ways to sum digits in a number to zero), Dr. Mu, Jul/Aug99, p26 (Cowculations)

**Continued Fractions** (when close enough is good enough), Y. Nesterenko and E. Nikishin, Jan/Feb00, p22 (Feature)

**Convection and Displacement Currents** (nature of electricity), V. Dukov, Mar/Apr99, p4 (Feature)

**A Conversation in a Streetcar** (“lucky tickets” in Leningrad), A. Savin and L. Fink, Mar/Apr92, p23 (In Your Head)

**Cooled by the Light** (photonic refrigeration), I. Vorobyov, Sep/Oct93, p20 (Feature)

**Cool Vibrations** (fun with oscillations), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct97, p46 (Physics Contest)

**Core Dynamics** (transformers explained), A. Dozorov, Mar/Apr99, p14 (Feature)

**Counting Problems in Finite Groups** (problems from Research Experiences for Undergraduates), George Berzsenyi, Jul/Aug97, p34 (Math Investigations)

**Counting Random Paths** (probability, symmetry, and random walk), Vladimir Dubrovsky, Jul/Aug93, p39 (Follow-up)

**Creating Scientist-citizens** (thoughts on “scientific literacy”), Bernard V. Khoury, Mar/Apr97, p2 (Front Matter)

**The Creative Leap** (Einstein’s science—everyone’s science), Gerry Wheeler, Jan/Feb97, p2 (Front Matter)

**Criminal Geometry, or A Matter of Principl**e (Sherlock Holmes displays math prowess), D. V. Fomin, Sep/Oct91, p46 (Smiles)

**Curiosity’s Natural Extension** (feedback on National Science Education Standards editorial), Bill G. Aldridge, Jul/Aug95, p2 (Publisher’s Page)

**Curved Reality** (does Nature abhor a straight line?), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct00, p30 (Contest Problem)

**Cutting Facets** (a simple problem with many hidden charms), Vladimir Dubrovsky, May/Jun96, p4 (Feature)

**Cyberspace Exploration** (cheap thrills and real science in the computer age), Bill G. Aldridge, Sep/Oct94, p2 (Publisher’s Page)

#### D

**The Danger of Italian Restaurants** (poem), David Arns, Sep/Oct98, p60 (Musings)

**The Dark Power of Conventional Wisdom** (Lobachevsky bicentenary), A. D. Alexandrov, Nov/Dec92, p4 (Feature)

**The Death of a Star, Part I** (poem), David Arns, Mar/Apr00, p53

**The Death of a Star, Part II**, David Arns, May/Jun00, p33

**Delusion or Fraud?** (dropping a needle to calculate pi), A. N. Zaydel, Sep/Oct90, p6 (Feature)

**Democracy and Mathematics** (voting paradoxes), Valery Pakhomov, Jan/Feb93, p4 (Feature)

**Democratizing Expert Knowledge** (climate change and science in society), Maurie J. Cohen, Jan/Feb98, p2 (Front Matter)

**The Demoflush Figure** (algebra where you least expect it), Linda P. Rosen, Jul/Aug97, p2 (Front Matter)

**Depth of Knowledge** (effects of air resistance), Arthur Eisenkraft and Larry Kirkpatrick, May/Jun98, p28 (Physics Contest)

**Derivatives in Algebraic Problems** (counting roots), Alexander Zvonkin, Nov/Dec93, p28 (At the Blackboard)

**Desperately Seeking Susan on a Cylinder** (a geometric approach to search and detection), A. Chkhartishvili and E. Shikin, Mar/Apr97, p10 (Feature)

**Diamond Latticework** (geometry of crystalline structures), R. V. Galiulin, Jan/Feb91, p6 (Feature)

**Diamonds from a Jug** (two tales with a brainteasing twist), Sergey Grabarchuk, Sep/Oct94, p63 (Toy Store)

**Dielectrical Materialsm** (the behavior of nonconducting objects in electric fields), Jan/Feb01, p28 (Kaleidoscope)

**Diffraction in Laser Light** (seeing diffraction patterns), D. Panenko, Mar/Apr99, p33 (In the Lab)

**Disorder in the Court!** (using energy “free of charge”), V. Fabricant, May90, p43 (Quantum Smiles)

**Differing Differences** (math challenge), George Berzsenyi, Nov/Dec91, p30 (Math Investigation)

**Digitized Multiplication a la Steinhaus** (math challenge), George Berzsenyi, Jul/Aug93, p27 (Math Investigations)

**Dinosaurs in the Haystack** (scientific method), Stephen Jay Gould, Sep/Oct92, p10 (Feature)

**Direct Current Events** (DC machines), I. Slobodetsky, Mar/Apr92, p52 (At the Blackboard)

**The Discriminant at Work** (a handy algebraic tool), Andrey Yegorov, Jan/Feb96, p34 (At the Blackboard)

**Distinct Sums of Twosomes** (pushing the lower bound), George Berzsenyi, Mar/Apr95, p39 (Math Investigations)

**Divide and Conquer!** (shortcut divisibility rules), Ruma Falk and Eyal Oshry, Mar/Apr99, p18 (Feature)

**Divisibility Rules** (problems in divisibility), Mark Saul and Titu Andreescu, Mar/Apr99, p43 (Gradus ad Parnassum)

**Divisive Devices** (Euclid’s algorithm, greatest common divisor, and fundamental theorem of arithmetic), V. N. Vaguten, Sep/Oct91, p36 (Feature)

**Do As We Say …** (diversity in *Quantum*), Bill G. Aldridge, Mar/Apr93 p2 (Publisher’s Page)

**Dr. Matrix on the Wonders of 8** (observations of the “world’s greatest numerologist”), Martin Gardner, Jul/Aug95, p43 (Mathematical Surprises)

**Does a Falling Pencil Levitate?** (tabletop physics), Leaf Turner and Jane L. Pratt, Mar/Apr98, p22 (Feature)

**Does Elementary Length Exist?** (surprising implications of relativity and quantum mechanics), Andrey Sakharov, May/Jun97, p14 (Feature)

**Doing It the Hard Way** (multiple methodology), M. Tulchinsky, Sep/Oct92, p17 (Smiles)

**Doppler Beats** (sound frequency and relative motion), Larry D. Kirkpatrick and Arthur Eisenkraft, Jul/Aug98, p28 (Physics Contest)

**Double, Double Toil and Trouble** (boundary boiling of two liquids), A. Buzdin and V. Sorokin, May/Jun92, p52 (In the Lab)

**Do You Get the Drift?** (what the wind does to the snow), Lev Aslamazov, JanFeb93, p28 (sidebar)

**Do You Have Potential?** (the concept of potential), A. Leonovich, Nov/Dec97, p28 (Kaleidoscope)

**Do You Know the Binding Energy?** (a notion that unifies various types of physical interactions), May/Jun00, p28 (Kaleidoscope)

**Do You Really Know Time?** (it’s still a bit of a mystery), A. Leonovich, Sep/Oct99, p28 (Kaleidoscope)

**Do You Really Know Vapors?** (water behavior), A. Leonovich, Sep/Oct98, p32 (Kaleidoscope)

**Do You Get the Drift?** (behavior of blowing snow), Lev Aslamazov, Jan/Feb93, p28 (insert)

**Do You Know Atoms and Their Nuclei?** (broad outlines of an tiny, intricate world), A. Leonovich, Jan/Feb00, p28 (Kaleidoscope)

**Do You Promise Not to Tell?** (uses of constructive and destructive interference), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb97, p30 (Physics Contest)

**Dragon Curves** (Chandler and Knuth’s famous design), Nikolay Vasilyev and Victor Gutenmacher, Sep/Oct95, p4 (Feature)

**Dragon the Omnipresent** (a proof of a remarkable property [see “Dragon Curves,” Sep/Oct95, and “Nesting Puzzles-Part II,” Mar/Apr96]), Vladimir Dubrovsky, Jul/Aug96, p34 (Follow-up)

**Drops for the Crops** (limits on the size of droplets), Yuly Bruk and Albert Stasenko, Mar/Apr94, p10 (Feature)

**The Duke and His Chicken Incubator** (seventeenth-century Florentine thermoscopes), Alexander Buzdin, Sep/Oct91, p51 (Looking Back)

**Duracell Awards $100,000 to Young Inventors** (results of Duracell/NSTA Scholarship Competition), May/Jun96, p53 (Happenings)

**Dutch Treat** (generating a sequence), Dr. Mu, Mar/Apr99, p55 (Cowculations)

#### E

**East and West of Pythagoras by 30 degrees** (math challenge), George Berzsenyi, Mar/Apr92, p51 (Math Investigations)

**Educated Guesses** (amusing Fermi problems), John A. Adam, Sep/Oct95, p20 (Feature)

**Egyptian Fractions** (an alternative method from the 17th century B.C.), George Berzsenyi, Nov/Dec94, p45 (Math Investigations)

**Electrical and Mechanical Oscillations** (current in an oscillating circuit), A. Kikoyin, Mar/Apr01, p48 (At the Blackboard)

**Electric Currents on Coulomb Hills** (the ups and downs of a circuit), E. Romishevsky, Jul/Aug99, p37 (At the Blackboard)

**Electricity in the Air** (surface charge density of the Earth), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec93, p46 (Physics Contest)

**Electric Multipoles** (how a little order can weaken your potential), A. Dozorov, Sep/Oct99, p4 (Feature)

**Electromagnetic Induction** (intertwined lives of electricity and magnetism), Mar/Apr91, p32 (Kaleidoscope)

**Elementary Functions** (definitions from two perspectives), A. Veselov and S. Gindikin, Jul/Aug01, p22 (Feature)

**The Elementary Particles** (subatomic primer), Sheldon Lee Glashow, Sep/Oct90, p49 (Getting to Know …)

**Elephant Ears** (laws of scaling in the natural world), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec97, p30 (Physics Contest)

**Elevator Physics** (free-falling balls), Arthur Eisenkraft and Larry Kirkpatrick, Mar/Apr99, p30 (Physics Contest)

**11th Tournament of Towns** (problems), Nov/Dec90, p51 (Happenings)

**Embedding Triangles in Lattices** (a classic problem from Math.Note at DEC), George Berzsenyi, Sep/Oct96, p38 (Math Investigations)

**Endless Self-description** (Hilgemeier’s “likeness sequence”), George Berzsenyi, Sep/Oct93, p17 (Math Investigations)

**The Enigmatic Magnetic Force** (the Lorentz force and the importance of accounting for small magnetic forces), E. Romishevsky, Jul/Aug00, p41 (At the Blackboard)

**Enough Nerdiness** (why the geek stereotype is so uncool), Dennis R. Harp and Harry Kloor, May/Jun98, p2 (Front Matter)

**The Equalizer of a Triangle** (a clever line that does double duty), George Berzsenyi, Mar/Apr97, p51 (Math Investigations)

**Equation of the Gaseous State** (handling twists with the ideal gas law), V. Belonuchkin, May/Jun00, p44 (At the Blackboard)

**Equations Think For You** (weeding out incorrect assumptions), V. Nakhshin, Jan90, p46 (At the Blackboard)

**Ernst Abbe and “Carl Zeiss”** (giants of optics), A. Vasilyev, Jul/Aug00, p46 (Looking Back)

**Errorproof Coding** (error detection and self-correction), Alexey Tolpygo, Mar/Apr93, p10 (Feature)

**Errors in Geometric Proofs** (searching for mistakes), S. L. Tabachnikov, Nov/Dec98, p37 (At the Blackboard)

**Euclidean Complications** (alternate geometries), I. Sabitov, Sep/Oct98, p20 (Feature)

**Experiments of Frank and Hertz** (putting Bohr’s quantum postulates to the test), A. Levashov, Mar/Apr00, p38 (Looking Back)

**Exploring Every Angle** (several approaches to the same problem), Boris Pritsker, Mar/Apr01, p38 (Problem Primer)

**Exploring Remainders and Congruences** (a set of exercises), A. Yegorov, May/Jun01, p32 (At the Blackboard)

**Extra! Extra! Read All About It!** (inductive incompetence), Vladimir Dubrovsky, Jul/Aug92, p43 (Smiles)

**Extremists of Every Stripe** (investing in Russia’s future), Bill G. Aldridge, Mar/Apr94, p2 (Publisher’s Page)

**The Eye and the Sky** (the art of seeing faint objects), V. Surdin, Jan/Feb00, p16 (Feature)

**The Eyes Have It** (workings of the human eye), Arthur Eisenkraft and Larry Kirkpatrick, May/Jun99, p30 (Physics Contest)

#### F

**Fair and Squared!** (quadratic equations in physics problems), Boris Korsunsky, May/Jun97, p53 (At the Blackboard)

**Fantasy Chess** (adding a rule or two), Yevgeny Gik, Sep/Oct90, p64 (Checkmate!)

**Faraday’s Legacy** (communicating a love of science), Laurence I. Gould, Nov/Dec98, p2 (Front Matter)

**Farewell to JCMN** (in memory of Basil Rennie), George Berzsenyi, May/Jun97, p40 (Math Investigations)

**The Far from Dismal Science** (sustainability and input-output economics), Dean Button, Faye Duchin, and Kurt Kreith, Sep/Oct97, p38 (Feature)

**The Fast Game for Math Minds** (the “Twenty-Four” challenge), Mar/Apr91, p52 (Happenings)

**Feeding Rhythms and Algorithms** (premier of computing column), Dr. Mu, Nov/Dec96, p37 (Cowculations)

**The Fellowship of the Rings** (vortices and turbulence), S. Shabanov and V. Shubin, Jul/Aug01, p37 (In the Lab)

**Fermat’s Little Theorem** (proving its value to mathematicians), V. Senderov and A. Spivak, May/Jun00, p14 (Feature)

**Fertilizer with a Bang** (investigating an explosive situation), B. Novozhilov, Sep/Oct00, p8 (Feature)

**The Feuerbach Theorem** (exploring the inscribed and escribed circles of triangles), V. Protasov, Nov/Dec99, p4 (Feature)

**Fibonacci Strikes Again!** (curious occurrences of a famous number sequence), Elliott Ostler and Neal Grandgenett, Jul/Aug92, p15 (Mathematical Surprises)

**Field Pressure** (the “pressure” of a *static* field), A. Chernoutsan, Sep/Oct00, p40 (At the Blackboard)

**The Fifth International Olympiad in Informatics** (problems and empanadas), Donald T. Piele, Mar/Apr94, p46 (Happenings)

**Finding the Family Resemblence** (an attempt to categorize number representation problems), George Berzsenyi, Jul/Aug96, p27 (Math Investigations)

**Fire and Ice** (report on the 1998 International Physics Olympiad), Sep/Oct98, p56 (Happenings)

**The First Bicycle** (each wheel consisted of two sticks), Albert Stasenko, Jan/Feb97, p44 (At the Blackboard)

**The First Photon** (the “vending machine” model), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun95, p34 (Physics Contest)

**Flexible in the Face of Adversity** (topological transformations), A. P. Veselev, Sep/Oct90, p12 (Feature)

**Flexible Polyhedral Surfaces** (bending the rules), V. A. Alexandrov, Sep/Oct98, p4 (Feature)

**Flexland Revisited** (new forms of “flexlife”), Alexander Panov and Anatoly Kalinin, Jul/Aug93, p64 (Toy Store)

**Flights of Fancy?** (the upper limits of arrow shooting), V. Drozdov, Mar/Apr01, p40 (In the Open Air)

**A Flight to the Sun** (the challenges of sending a probe to the nearest star), Alexey Byalko, Nov/Dec96, p16 (Feature)

**Fluids and Fault Lines** (why large earthquakes are rather rare), G. Golytsyn, Jan/Feb00, p4 (Feature)

**Fluids and Gases on the Move** (a look at fluid mechanics), L. Leonovich, Jan/Feb96, p28 (Kaleidoscope)

**Flux and Fixity** (quantifying the energy stored in a magnetic field), V. Novikov, Jan/Feb01, p6 (Feature)

**Fly Zapper** (kill ’em and count ’em), Dr. Mu, Nov/Dec98, p62 (Cowculations)

**Focusing Fields** (finding the magnetic field that will focus charged particles), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb96, p32 (Physics Contest)

**Focusing on the Fleet** (Archimedean victory at sea), Sergey Semenchinsky, Sep/Oct93, p28 (In the Lab)

**Foiled by the Coanda Effect** (an alternative way of explaining lift), Jef Raskin, Sep/Oct94, p4 (Feature)

**Follow the Bouncing Buckyball** (fullerenes and other carbonic architecture), Sergey Tikhodeyev, May/Jun94, p8 (Feature)

**The Force Behind the Tides** (understanding the attraction of the Moon), V. E. Belonuchkin, May/Jun98, p10 (Feature)

**Forcing the Issue** (Newtonian mechanics), Mar/Apr92, p32 (Kaleidoscope)

**Forked Roads and Forked Tongues** (a logical lie detector), P. Blekher, Nov/Dec97, p10 (Feature)

**Formulas for Sin nx and Cos nx **(handy mnemonic devices), Dmitry Fuchs, May/Jun93, p48 (At the Blackboard)

**For the Love of Her Subject** (interview with Marina Ratner), Julia Angwin, Jul/Aug94, p44 (Profile)

**The Fourth State of Matter** (plasma physics), Alexander Kingsep, Sep/Oct93, p4 (Feature)

**The Friction and Pressure of Skating** (glaciers and Carnot theorem), Alexey Chernoutsan, Jul/Aug94, p25 (At the Blackboard)

**Friction, Fear, Friends, and Falling** (mountaineering physics), John Wylie, Jul/Aug92, p4 (Feature)

**Friezing Our Way into Summer** (zigzag frieze patterns), John Conway, May90, p50 (Mathematical Surprises)

**From a Roman Myth to the Isoperimetric Problem** (searching for the greatest area given equal perimeters), I. F. Sharygin, Jan/Feb97, p34 (At the Blackboard)

**From a Snowy Swiss Summit to the Apex of Geometry** (biographical sketch of Jacob Steiner), I. M. Yaglom, Nov/Dec93, p35 (Looking Back)

**From Cherokee Math to Tubby Genes** (educational content on the World Wide Web), Tim Weber, May/Jun97, p2 (Front Matter)

**From Mouse to Elephant** (cell size and other zoological constants), Anatoly Mineyev, Mar/Apr96, p18 (Feature)

**From the Edge of the Universe to Tartarus** (Hesiod meets modern physics), Albert Stasenko, Mar/Apr96, p4 (Feature)

**From the Pages of History** (talking dolls, singing goblets, a fountain that spurts on command), A. Varlamov, Mar/Apr01, p34 (Looking Back)

**From the Prehistory of Radio** (Faraday, Maxwell, Hertz, and Popov), S. M. Rytov, May90, p39 (Looking Back)

**The Fruits of Kepler’s Struggle** (discovering the laws of orbital motion), B. E. Belonuchkin, Jan/Feb92, p18 (Feature)

**Fuel Economy on the Moon** (harnessing the Moon’s gravity), A. Stasenko, Jan/Feb00, p38 (At the Blackboard)

**Functional Equations and Groups** (and how to solve them), Y. S. Brodsky and A. K. Slipenko, Nov/Dec98, p14 (Feature)

**The Fundamental Particles** (combining quarks), Larry D. Kirkpatrick and Arthur Eisenkraft, Mar/Apr01, p30 (Physics Contest)

**Fun with Liquid Nitrogen** (latent heat of vaporization), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr94, p38 (Physics Contest)

**Further Adventures in Flexland** (two-way hinges and flexchains), Alexey Panov, May/Jun92, p64 (Toy Store)

#### G

**The Gambler, the Aesthete, and St. Pete** (probabilities and payoffs), Leon Taylor, Jan/Feb98, p20 (Feature)

**The Game of Battleships** (achieving naval superiority on a paper sea), Yevgeny Gik, Nov/Dec96, p56 (Toy Store)

**The Game of Bop** (mathematical wordplay), Sheldon Lee Glashow, Sep/Oct92, p27 (In Your Head)

**Generalizing Monty’s Dilemma** (whether to stick with a choice or switch), John P. Georges and Timothy V. Craine, Mar/Apr95, p16 (Feature)

**Generating Functions** (problem-solving methods), S. M. Voronin and A. G. Kulagin, May/Jun99, p8 (Feature)

**Getting It Together with “Polyominoes”** (approach to tiling problems based on group theory), Dmitry V. Fomin, Nov/Dec91, p20 (Feature)

**Genealogical Threes** (using Euclid’s theorem to generate Pythagorean triples), A. A. Panov, Nov/Dec90, p36 (Looking Back)

**Geometric Summation** (infinite algebraic tilings), M. Apresyan, May/Jun94, p30 (In Your Head)

**Geometric Surprises** (a collection of elegant oddities), A. Savin, Jul/Aug00, p28 (Kaleidoscope)

**Geometry in the Pagoda** (classic problems of the great Japanese geometers), George Berzsenyi, Jan/Feb95, p48 (Math Investigations)

**The Geometry of Population Genetics** (color blindness and the Hardy-Weinberg law), I. M. Yaglom, May90, p24 (Feature)

**Geometry of Sliding Vectors** (modeling forces acting on rigid bodies having a definite size and shape), Y. Solovyov and A. Sosinsky, Mar/Apr00, p18 (Feature)

**Georg Cantor** (an anniversary review of his achievements), Vladimir Tikhomirov, Nov/Dec95, p48 (Looking Back)

**The Giants** (on whose shoulders Newton stood), Vladimir Belonuchkin, Jul/Aug95, p38 (Looking Back)

**Gingerbread Man** (creating computer graphics), Dr. Mu, Jan/Feb98, p55 (Cowculations)

**Giving Astronomy Its Due** (the role of astronomy in human history), A. Mikhailov, Jul/Aug01, p46 (At the Blackboard)

**Glancing at the Thermometer …** (computing the coefficient of thermal expansion), M. I. Kaganov, Jan/Feb93, p26 (At the Blackboard)

**Gliding Home** (propelling a glider long distances), Albert Stasenko, Mar/Apr99, p21 (At the Blackboard)

**Glittering Performances** (XXII International Physics Olympiad), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec91, p53 (Happenings)

**Global Change** (commentary on events in the former Soviet Union), Bill G. Aldridge, Mar/Apr92, p2 (Publisher’s Page)

**Going Around in Circles** (math challenge), George Berzsenyi, Sep/Oct91, p35 (Math Investigations)

**Going to Extremes** (using the “extremity rule”), A. L. Rosenthal, Nov/Dec90, p8 (Feature)

**The Golden Ratio in Baseball** (Fibonacci in sport statistics), Dave Trautman, Mar/Apr96, p30 (Mathematical Surprises)

**Go “Mod” with Your Equations** (remainders and congruences), Andrey Yegorov, May/Jun92, p24 (Feature)

**The Good Old Pythagorean Theorem** (proofs and generalizations), V. N. Beryozin, Jan/Feb94, p24 (Feature)

**A Good Question** (active thought versus passive absorption), Bill G. Aldridge, Sep/Oct90, p3 (Publisher’s Page)

**A Good Theory** (or two—from Newton and Bohr), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb01, p30 (Physics Contest)

**Grand Illusions** (apparent violations of light’s speed limit), A. D. Chernin, Jan/Feb92, p24 (At the Blackboard)

**Graphs and Grafs** (a little graph theory and practice), Anatoly Savin, Nov/Dec95, p32 (Kaleidoscope)

**Gravitational Redshift** (determining a star’s characteristics from photonic redshift), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec95, p34 (Physics Contest)

**The Great Art** (controversial origins of “Cardano’s formula”), Semyon Gindikin, May/Jun95, p40 (Looking Back)

**The Great Law** (Newton and gravitational attraction), V. Kuznetsov, Sep/Oct99, p38 (Looking Back)

**The Greek Alphabet** (a physicist’s guide), Sheldon Lee Glashow, Mar/Apr92, p40 (Getting to Know …)

**The Green Flash** (an unusual spectacle at the close of day), Lev Tarasov, Jan/Feb97, p38 (In the Open Air)

**A Gripping Story** (how to calculate static friction), Alexey Chernoutsan, Mar/Apr96, p40 (At the Blackboard)

**Group Velocity** (a wider application of wave motion equations), Helio Waldman, Nov/Dec00, p47 (At the Blackboard)

#### H

**Halving It All** (curiosities of planar bisection), Mark E. Kidwell and Mark D. Meyerson, Mar/Apr92, p6 (Feature)

**Halving Some More** (segments of constant area), Dmitry Fuchs and Sergey Tabachnikov, Mar/Apr92, p26 (Feature)

**Hands-on (or -off?) Science** (thermal sensitivity), Alexey Byalko, Nov/Dec97, p4 (Feature)

**Hands-on Topology** (experiments with the Möbius strip), Boris Kordemsky, Nov/Dec95, p64 (Toy Store)

**Happy Birthday, Uncle Paul!** (Erdös turns eighty-one), George Berzsenyi, May/Jun94, p28 (Math Investigations)

**Happy New Year!** (publisher resolves to learn Russian), Bill G. Aldridge, Jan/Feb91, p5 (Publisher’s Page)

**Hard-core Heavenly Bodies** (ionic crystal, Young’s modulus, and planetary mass), Yuly Bruk and Albert Stasenko, Jul/Aug93, p34 (Feature)

**Head over Heels** (mechanics of an odd top), Sergey Krivoshlykov, May/Jun95, p62 (Toy Store)

**Health and Long Life** (travel notes: mad cows and the Brontës), Bill G. Aldridge, May/Jun96, p2 (Publisher’s Page)

**Heart Waves** (behavior of electrical waves in the heart), A. S. Mikhailov, Nov/Dec91, p12 (Feature)

**Heating Water from the Top** (moving boundaries and waves under water), V. Pentegov, Nov/Dec99, p41 (In the Lab)

**High-Speed Conservation** (physics at near-light speeds), A. Korzhuyev, Sep/Oct98, p38 (At the Blackboard)

**High-speed Hazards** (a radical method of combatting the effects of very large accelerations), I. Vorobyov, May/Jun00, p24 (Feature)

**Hindsight** (when to hold ‘em and when to fold ‘em), Dr. Mu, Nov/Dec97, p55 (Cowculations)

**The History of a Fall** (what happens to a drip as it drops), Leonid Guryashkin and Albert Stasenko, Mar/Apr95, p10 (Feature)

**Hit or Miss** (Perelman problems), Nov/Dec92, p32 (Kaleidoscope)

**Holding Up Under Pressure** (modeling bridges), Alexander Borovoy, Jan90, p30 (In the Lab)

**Holes in Graphs** (functions that are both continuous and discontinuous), Michael H. Brill and Michael Stueben, Sep/Oct91, p12 (Feature)

**Hollow Molecules** (belated insert to “Follow the Bouncing Buckyball”), David E. H. Jones, Mar/Apr95, p53 (Addendum)

**Homemade Pendulums** (describing their motion), G. L. Kotkin, Mar/Apr98, p38 (In the Lab)

**Home on the Range** (functional primer), Andrey N. Kolmogorov, Sep/Oct93, p10 (Feature)

**Homogeneous Equations** (more equation solving), L. Ryzhkov and Y. Ionin, May/Jun98, p43 (At the Blackboard)

**The Horrors of Resonance** (are you in for a rough landing?), A. Stasenko, Mar/Apr98, p45 (At the Blackboard)

**Horseflies and Flying Horses** (matters of scale in the animal world), A. Zherdev, May/Jun94, p32 (Kaleidoscope)

**A Horse is a Horse** (of Course, of Course) (shenanigans with fractions), A. S. Yarsky, May90, p43 (Quantum Smiles)

**How About a Date?** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr93, p30 (Physics Contest)

**How Big Am I, Really?** (poem), David Arns, Jul/Aug98, p55 (Musings)

**How Do We Breathe?** (physics in alveoli), K. Y. Bogdanov, May90, p4 (Feature)

**How Enlightened Are You?** (straight answers to crooked questions about light), Alexander Leonovich, May/Jun96, p32 (Kaleidoscope)

**How Long Does a Comet Live?** (an attempt at an estimate), S. Varlamov, May/Jun01, p4 (Feature)

**How Many Bubbles are in Your Bubbly?** (the physics of gas dissolved in luquids), A. Stasenko, Nov/Dec00, p44 (In the Lab)

**How Many Divisors Does a Number Have?** (a classic problem with many interconnections), Boris Kotlyar, Mar/Apr96, p24 (Feature)

**How’s Your Astronomy?** (collection of heavenly facts and questions), May/Jun95, p32 (Kaleidoscope)

**How the Ball Bounces** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr91, p54 (Contest)

**How to Escape the Rain** (to run or to walk?), I. F. Akulich, May/Jun98, p38 (In the Open Air)

**Hula Hoop** (circular animation), Dr. Mu, Jan/Feb99, p54 (Cowculations)

**Hurling at the Abyss** (oscillating too-short bridges), A. Stasenko, Nov/Dec98, p43 (At the Blackboard)

**Hydroparadoxes** (when fluids forsake model behavior), S. Betyaev, Jul/Aug98, p20 (Feature)

**Hyperbolic Tension** (measuring the coefficient of surface tension), I. I. Vorobyov, Jan/Feb98, p30 (In the Lab)

#### I

**I Can See Clearly Now** (poem), David Arns, Nov/Dec98, p8

**An Ideal Gas Gets Real** (and relativity visits electromagnetic induction), Albert Stasenko and Alexey Chernoutsan, Sep/Oct93, p42 (At the Blackboard)

**Image Charge** (electrostatic investigation), Larry D. Kirkpatrick and Arthur Eisenkraft, Jul/Aug99, p30 (Physics Contest)

**The Importance of Studying the Physics of Sound Insulation** (a detective story), Roman Y. Vinokur, Nov/Dec95, p18 (Feature)

**Important Components of Learning Components** (a different approach to vectors), Boris Korsunsky, Jan/Feb95, p45 (Sticking Points)

**Incandescent Bulbs** (illuminating thermal expansion), D. C. Agrawal and V. J. Menon, Jan/Feb98, p35 (At the Blackboard)

**An Incident on the Train** (air pressure in a tunnel), Carlo Camerlingo and Andrey Varlamov, Nov/Dec90, p42 (At the Blackboard)

**Inequalities Become Equalities** (a baker’s dozen problems with a common ingredient), A. Egorov, Mar/Apr00, p42 (At the Blackboard)

**The Inevitability of Black Holes** (Schwarzschild radius, principle of equivalence), William A. Hiscock, Mar/Apr93, p26 (Feature)

**Infinite Descent** (a method with wide applicability), Lev Kurlyandchik and Grigory Rozenblume, Jul/Aug96, p10 (Feature)

**In Focus** (optics and your eyes), A. Dozorov, Sep/Oct98, p48 (At the Blackboard)

**In Foucault’s Footsteps** (a simple experiment on the Coriolis force), M. Emelyanov, A. Zharkov, V. Zagainov, and V. Matochkin, Nov/Dec96, p26 (In the Lab)

**In Memoriam: Paul Erdös 1913–1996)** (an appreciation of the great problem master), George Berzsenyi, Nov/Dec96, p40 (Math Investigations)

**The Ins and Outs of Circles** (inscribed and circumscribed circles), I. F. Sharygin, Nov/Dec97, p38 (At the Blackboard)

**Inscribe, Subtend, Circumscribe** (variations on a geometric theme), Vladimir Uroyev and Mikhail Shabunin, Nov/Dec96, p10 (Feature)

**In Search of a Definition of Surface Area** (working through a paradoxical result), Vladimir Dubrovsky, Mar/Apr91, p6 (Feature)

**In Search of Perfection** (numbers equal to the sum of their own divisors), I. Depman, May/Jun01, p8 (Feature)

**Interacting Bodies** (all about collisions), A. Leonovich, Jan/Feb99, p28 (Kaleidoscope)

**Internal Energy and Heat** (why *Q* is in the reference tables, not Δ*U*), Alexey Chernoutsan, Jul/Aug97, p38 (Fundamentals)

**In the Curved Space of Relativistic Velocities** (link between relativity and hyperbolic geometry), Vladimir Dubrovsky, Mar/Apr93, p34 (Feature)

**Interstellar Bubbles** (a phase in the life cycle of stars), S. Silich, Nov/Dec97, p14 (Feature)

**In the Planetary Net** (the potential in gravitational fields), V. Mozhayev, Jan/Feb98, p4 (Feature)

**Inversion** (useful transformation), Vladimir Dubrovsky, Sep/Oct92, p40 (Getting to Know …)

**Invincible Mephisto!** (computer chess), Y. Gik, Jan90, p56 (Checkmate!)

**An Invitation to the Bathhouse** (physics in the Russian *banya*), I. I. Mazin, Sep/Oct90, p20 (Feature)

**IOI 2000** (report from the International Olympiad of Informatics in Beijing), Don Piele, Jan/Feb01, p55 (Informatics)

**Irrationality and Irreducibility** (how are they connected?), V. A. Oleynikov, May/Jun97, p22 (Feature)

**Irregular Regular Polygons** (a math problem found in a dictionary), Eric D. Carlson and Sheldon L. Glashow, Jul/Aug95, p48 (At the Blackboard)

**Is Bingo Fair?** (parlor probability), Mark Krosky, May/Jun98, p4 (Feature)

**Is This What Fermat Did?** (fast factorization), B. A. Kordemsky, Sep/Oct91, p17 (At the Blackboard)

**It All Depends on Your Attitude** (getting oriented in outer space), Bernice Kastner, Jan/Feb92, p12 (Feature)

**It’s All Greek to Me!** (symbols in math and science), Bill G. Aldridge, Jan/Feb95, p2 (Publisher’s Page)

**It’s Beautiful—But Is It Science?** (waves in a Viking painting), Albert Stasenko, Jan90, p8 (Feature)

#### J

**Jesse James Discovers the Heat Equation** (using spreadsheets for diffusion processes), Kurt Kreith, May/Jun95, p26 (Feature)

**Jewels in the Crown** (mathematical induction), Mark Saul, Jul/Aug92, p10 (Feature)

**Jingle Bell?** (bell-ringing in a vacuum), N. Paravyan, Nov/Dec97, p27 (In the Lab)

**Jules Verne’s Cryptogram** (cracking a code to save a life), G. A. Gurevich, Sep/Oct90, p44 (Looking Back)

#### K

**Karate Chop** (physics of tameshiwari), A. Biryukov, May/Jun99, p14 (Feature)

**Keeping Cool and Staying Put** (heat pumps and rope tension), Alexander Buzdin, May/Jun93, p17 (At the Blackboard)

**Keeping Track of Points** (trajectories, tracks, and displacements), Sep/Oct93, p32 (Kaleidoscope)

**Kith and Kin** (friendly numbers and twin primes), Jan90, p28 (Kaleidoscope)

**Knots, Links, and Their Polynomials** (Reidemeister moves, Conway polynomial, and other aspects of knot theory), Alexey Sosinsky, Jul/Aug95, p8 (Feature)

#### L

**Landau’s License Plate Game** (math prowess of a great physicist), M. I. Kaganov, Mar/Apr93, p47 (In Your Head)

**Langton ’s Ant** (a spinoff of Conway’s Game of Life), Don Piele, Mar/Apr00, p63 (Informatics)

**Laser Levitation** (lifting with light), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun94, p38 (Physics Contest)

**Laser Pointer** (the underlying physics), S.Obukhov, Nov/Dec00, p14 (Feature)

**The Last Problem of the Cube** (“God’s algorithm” for Rubik’s immortal cube), Vladimir Dubrovsky, Mar/Apr95, p61 (Toy Store)

**Late Light from Mercury** (gravitational refraction), Yakov Smorodinsky, Nov/Dec93, p40 (In the Lab)

**Latin Rectangles** (exercise in combinatorics), V. Shevelyov, Mar/Apr91, p18 (Feature)

**Latin Triangles** (a puzzle and a model of Schwarz’s boot), D. Bernshtein, Mar/Apr91, p64 (Toy Store)

**Lattices and Brillouin Zones** (polygonal patterns), A. B. Goncharov, Nov/Dec98, p4 (Feature)

**Launch into International Space Year!** (guide to ISY activities), Jan/Feb92, p53 (Happenings)

**Lazy-day Antidotes** (light summertime problems to quicken the mind), Jul/Aug95, p32 (Kaleidoscope)

**The Leaky Pendulum** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec91, p28 (Physics Contest)

**Learning About (Not By) Osmosis** (discovery and applications), Alexander Borovoy, Nov/Dec91, p48 (In the Lab)

**Learning from a Virus** (applying system dynamics to the spread of an illness), Matthias Ruth, Sep/Oct97, p28 (Feature)

**The Legacy of al-Khwarizmi** (the origins of algebra), Z. D. Usmanov and I. Hodjiev, Jul/Aug98, p26 (Looking Back)

**The Legacy of Norbert Wiener** (Part I: childhood, boyhood, youth), Nov/Dec94, p47 (Innovators)

**The Legacy of Norbert Wiener** (Part II: Brownian motion and beyond), Jan/Feb95, p41 (Innovators)

**The Legacy of Norbert Wiener** (Part III: from feedback to cybernetics), Mar/Apr95, p42 (Innovators)

**Less Heat and More Light** (properties of the “ideal black body”), Y. Amstislavsky, Nov/Dec95, p4 (Feature)

**Let’s Not Be Dense About It!** (facts, questions, and problems about density), A. A. Leonovich, May/Jun97, p32 (Kaleidoscope)

**Letters from the Editors** (notes by the editors in chief), Jan90, p6

**Lewis Carroll’s Sleepless Nights** (two “pillow problems” in probability), Martin Gardner, Mar/Apr95, p40 (Mathematical Surprises)

**Liberté, Égalité, Géométrie** (Gaspard Monge—father of descriptive geometry), V. Lishevsky, Nov/Dec00, p20 (Feature)

**Life on an Accelerating Skateboard** (toward an improved definition of “weight”), Albert A. Bartlett, Sep/Oct95, p49 (Follow-up)

**Light at the End of the Tunnel** (invariants and monovariants), Dmitry Fomin and Lev Kurlyandchik, Mar/Apr94, p16 (Feature)

**Light in a Dark Room** (history of the camera obscura), V. Surdin and M. Kartashev, Jul/Aug99, p40 (Looking Back)

**Lightning in a Crystal** (story of the LED), Yury R. Nosov, Nov/Dec90, p12 (Feature)

**Light Pressure** (are sunny days more burdensome?), S. V. Gryslov, May/Jun98, p36 (Looking Back)

** The Limits to Growth Revisited** (a primer on exponential growth, overshoot, and dynamic modeling), Kurt Kreith, Sep/Oct97, p4 (Feature)

**The Little House on the Tundra** (keeping the foundation from melting the ground), A. Tokarev, Jul/Aug00, p38 (At the Blackboard)

**A Little Lens Talk** (“paper” and “real” lenses), Alexander Zilberman, May/Jun94, p35 (At the Blackboard)

**Local Fields Forever** (looking at gravity and acceleration), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb98, p32 (Physics Contest)

**The Long and Short of It** (ruminations on the notion of “length”), Anatoly Savin, Mar/Apr96, p32 Kaleidoscope)

**The Long Road to Longitude** (how we finally became “coordinated”), A. A. Mikhailov, Mar/Apr97, p42 (Looking Back)

**Look, Ma—No Calculus!** (a spreadsheet approach to population dynamics), Kurt Kreith, Nov/Dec94, p15 (Feature)

**The Lorentz/FitzGerald Diet** (poem), David Arns, Jan/Feb99, p41

**Lost in a Forest** (Bellman’s problem: how to get out in the shortest time?), George Berzsenyi, Nov/Dec95, p41 (Math Investigations)

**Love and Hate in the Molecular World** (the “emotions” of dipoles), Albert Stasenko, Nov/Dec94, p10 (Feature)

**Lunar Ironies** (it *is* made of cheese!), M. A. Koretz and Z. L. Ponizovsky, Jul/Aug93, p24 (Smiles)

**Lunar Launch Pad** (could a volcano have given birth to a satellite of the Earth of Sun?), A. Stasenko, Mar/Apr01, p44 (Forces of Nature)

**Lunar Miscalculation** (how to get stranded in the pitch-dark mountains), Bill G. Aldridge, Nov/Dec96, p2 (Publisher’s Page)

**The Lunes of Hippocrates** (an early attempt to square the circle), V. N. Berezin, Jan/Feb98, p39 (Looking Back)

#### M

**A Magical Musical Formula** (soundless guitar tuning), P. Mikheyev, Jan/Feb95, p30 (In the Lab)

**The Magic of 3 x 3** (specifically, a magic square of squares), Martin Gardner, Jan/Feb96, p24 (Mathematical Surprises)

**Magnetic Fieldwork** (measuring magnetic fields), D. Tselykh, Sep/Oct98, p46 (In the Lab)

**Magnetic Levitation Comes of Age** (superconductivity applied), Thomas D. Rossing and John R. Hull, Mar/Apr95, p22 (Feature)

**Magnetic Monopoly** (in search of the magnetic monopole), John Wylie, May/Jun95, p4 (Feature)

**Magnetic Personality** (Hans Christian ײsted), V. Kartsev, May/Jun99, p42 (Looking Back)

**Magnetic Vee** (a constant current *I* in a wire shaped like a *V*), Larry D. Kirkpatrick and Arthur Eisenkraft, Mar/Apr00, p34 (Physics Contest)

**Magnets, Charges, and Planets** (the search for connections among forces), Albert Stasenko, May/Jun97, p42 (At the Blackboard)

**A Magnificant Obsession** (perfect numbers), Michael H. Brill and Michael Stueben, Jan/Feb93, p18 (Feature)

**Make Yourself Useful, Diana** (the Moon as a radio telescope antenna), P. V. Bliokh, Mar/Apr92, p34 (Feature)

**Making the Crooked Straight** (linearizing mechanism for the steam engine), Yury Solovyov, Nov/Dec90, p20 (Feature)

**The Many Faces of Ice** (the physics of frozen water), A. Zaretsky, Jul/Aug01, p6 (Feature)

**Many Happy Returns** (the tricky business of returning from space), Albert Stasenko, Jul/Aug01, p16 (Feature)

**Many Ways to Multiply** (a survey of techniques), Anatoly Savin, Mar/Apr01, p28 (Kaleidoscope)

**The Mapmaker’s Tale** (Four Color Theorem goes awry), Sheldon Lee Glashow, May/Jun93, p46 (Smiles)

**Marching Orders** (finite group primer), Alexey Sosinsky, Nov/Dec91, p6 (Feature)

**The Markov Equation** (an elegant solution to a Diophantine equation), M. Krein, Jan/Feb00, p42 (At the Blackboard)

**Mars or Bust!** (problems related to exploring the Red Planet), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr97, p34 (Physics Contest)

**Martin Gardner’s “Royal Problem”** (generalization of a chessboard problem), Jesse Chan, Peter Laffin, and Da Li, Sep/Oct93, p45 (Follow-up)

**A Mathematical Handbook with No Figures** (silliness with a purpose), Yuly Danilov, May/Jun94, p42 (Quantum Smiles)

**Mathematical Hopscotch** (discontinuous Q&A), Jul/Aug94, p28 (Kaleidoscope)

**The Mathematician, the Physicist, and the Engineer** (science jokes on the Internet), May/Jun96, p48 (Quantum Smiles)

**Mathematics: 1900–1950** (an overview), V. Tikhomirov, Mar/Apr00, p4 (Feature)

**Mathematics in Living Organisms** (calculating cats), M. Berkenblit and E. Glagoleva, Nov/Dec92, p34 (Feature)

**Mathematics in Perpetual Motion** (imaginary elliptical engine), Anatoly Savin, Jul/Aug94, p4 (Feature)

**Math Relay Races** (relay problems from the trenches), Don Barry, May/Jun98, p26 (At the Blackboard)

**Matter and Gravity** (material points *and* extended objects), Sep/Oct00, p28 (Kaleidoscope)

**Matter and Magnetism** (a quick tour), Mau/Jun01, p28 (Kaleidoscope)

**Maximizing the Greatest** (revisiting a GCD problem), George Berzsenyi, May/Jun95, p39 (Math Investigations)

**Meandering down to the Sea** (natural curvature of riverbeds), Lev Aslamazov, Jul/Aug92, p34 (In the Lab)

**The Mean Value of a Function** (stretching an arithmetic concept), Yury Ionin and Alexander Plotkin, Nov/Dec95, p26 (Feature)

**The Medians** (multiple proofs of a well-known theorem), Vladimir Dubrovsky, Nov/Dec94, p32 (Kaleidoscope)

**Meeting No Resistance** (high-temperature superconductivity), Alexander Buzdin and Andrey Varlamov, Sep/Oct91, p6 (Feature)

**A Meeting of Minds** (US-Soviet science teachers conference), Bill G. Aldridge, Sep/Oct91, p4 (Publisher’s Page)

**Merry-go-round Kinematics** (a dynamic game of cherry tossing), Albert Stasenko, Sep/Oct96, p48 (At the Blackboard)

**Message from Afar** (poem), David Arns, May/Jun99, p48 (Musings) [reprinted Nov/Dec99, p9]

**Mighty Ether Has Struck Out** (poem), David Arns, May/Jun97, p30

**Milk Routes** (the best whey into town), Dr. Mu, Mar/Apr98, p55 (Cowculations)

**Minimal Surfaces** (wire contours and soap films), A. Fomenko, May/Jun00, p4 (Feature)

**Mirror Full of Water** (wet optics), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug94, p32 (Physics Contest)

**Miss or Hit** (more Perelman problems), Mar/Apr93, p32 (Kaleidoscope)

**Modeling a Tornado** (cyclone in a jar), V. Mayer, May/Jun00, p42 (In the Lab)

**Models of Efficiency** (problems and facts about work, power, and efficiency), Sep/Oct94, p32 (Kaleidoscope)

**The Modest Experimentalist, Henry Cavendish** (scientist who didn’t publish results), S. Filonovich, Jan/Feb91, p41 (Looking Back)

**Molecular Interactions Up Close** (fundamental forces), G. Myakishev, May/Jun00, p8 (Feature)

**Molecular Intrigue** (how small are molecules?), A. Leonovich, Jan/Feb98, p28 (Kaleidoscope)

**A Moon of Steel** (loony research), M. A. Koretz and Z. L. Ponizovsky, Jul/Aug93, p24 (Smiles)

**The Moscow Correspondence School in Quantum** (sample problems from a school without walls), I. M. Gelfand, Mar/Apr91, p42 (Math by Mail)

**The “Most Inertial” Reference Frame** (the universe’s relict radiation), Gennady Myakishev, Mar/Apr95, p48 (In Your Head)

**The Most Mysterious Shape of All** (a spiral primer), Mar/Apr95, p32 (Kaleidoscope)

**The Most Profit with the Least Effort** (Chebyshev’s “The Drawing of Geographic Maps”), Yuly Danilov, Sep/Oct94, p35 (Anthology)

**Mushrooms and X-ray Astronomy** (natural collimator), Alexander Mitrofanov, Jul/Aug94, p10 (Feature)

**Musical Chairs** (a variant, and a question), Don Piele, May/Jun01, p54 (Informatics)

**Moving Matter** (using a pendulum to measure speed), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun96, p34 (Physics Contest)

**The Multidimensional Cube** (an introduction to multidimensional space), Vladimir Dubrovsky, Sep/Oct96, p4 (Feature)

**The Music of Physicists** (amusing anecdotes about Einstein, Bunsen, Planck, and Rutherford), Sep/Oct90, p54 (Quantum Smiles)

**The Mystery of Figure No. 51** (descendant of tangram), Alexey Panov, Sep/Oct92, p63 (Toy Store)

#### N

**The Name Game of the Elements** (confusion and politics in chemistry), Henry D. Schreiber, Sep/Oct96, p24 (Feature)

**Nascent Non-Euclidean Geometry** (revisiting a geometry classic), N. I. Lobachevsky, May/Jun99, p20 (Feature)

**The Natural Logarithm** (derivation of an unnatural-looking number), Bill G. Aldridge, Nov/Dec90, p26 (Getting to Know …)

**The Nature of an Ideal Gas** (implications of the model), A. Leonovich, May/Jun98, p32 (Kaleidoscope)

**The Nature of Light** (the Compton effect), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec96, p30 (Physics Contest)

**Nature’s Fireworks** (inner workings of the auroras), A. K. Kikoyin, Jan/Feb92, p50 (Feature)

**The Near and Far of It** (limitations of optical instruments), A. Stasenko, Mar/Apr01, p24 (Feature)

**Nesting Puzzles** (part I: The Tower of Hanoi and Panex), Vladimir Dubrovsky, Jan/Feb96, p53 (Toy Store)

**Nesting Puzzles** (part II: Chinese rings and the return of the dragon), Vladimir Dubrovsky, Mar/Apr96, p61 (Toy Store)

**Neutrinos and Supernovas** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec90, p35 (Contest)

**Neutrons Seek the Murderer** (neutron activation analysis), A. S. Shteinberg, May/Jun92, p20 (In the Lab)

**The New Earth** (physics of a hollow Earth), A. Stasenko, Jul/Aug99, p16 (Feature)

**Nine Solutions to One Problem** (classic triangle problem), Constantine Knop, May/Jun94, p46 (At the Blackboard)

**Nonreπeating, Πatternless, and Πerπetually Aππproximated** (aspects of pi), Nov/Dec00, p28 (Kaleidoscope)

**Nonstandardly Continued Fractions** (infinite processes with simple answers), George Berzsenyi, Jan/Feb96, p39 (Math Investigations)

**Not All is Revealed** (the Uncertainty Principle and other forms of indeterminacy), Albert Stasenko, Nov/Dec96, p42 (At the Blackboard)

**Not a Silver Bullet—A Golden Opportunity** (how technology can improve science education), Stanley Litow, Jan/Feb01, p3 (Front Matter)

**Notes of a Traveler** (education in the US and USSR), Bill G. Aldridge, Nov/Dec90, p2 (Publisher’s Page)

**The Notion of Vicinity** (math challenge), George Berzsenyi, Nov/Dec92, p18 (Math Investigations)

**Nudging Our Way to a Proof** (using the method of small perturbations), Galina Balk, Mark Balk, and Vladimir Boltyansky, Mar/Apr95, p4 (Feature)

**Number Cells** (numerical destinations), Thomas Hagspihl, Nov/Dec97, p41 (At the Blackboard)

**Number Show** (a handful of numerical tricks), Ivan Depman and Naum Vilenkin, Mar/Apr96, p46 (In Your Head)

**Numbers in Our Genes** (quantification in molecular biology), Bill G. Aldridge, May/Jun94, p2 (Publisher’s Page)

**Number Systems** (Babylonian, Roman, Mayan, and beyond), Isaak Yaglom, Jul/Aug95, p22 (Feature)

**Numeral Roamings** (exploring nontraditional mathematical operations), A. Egorov and A. Kotova, Mar/Apr98, p16 (Feature)

**Numerical Data in Geometry Problems** (new angles to problem solving), S. V. Ovchinnikov and I. F. Sharygin, May/Jun99, p37 (At the Blackboard)

#### O

**Obtaining Symmetric Inequalities** (Muirhead’s Theorem), S. Dvoryaninov and E. Yasinovyi, Nov/Dec99, p44 (At the Blackboard)

**The Oceanic Phone Booth** (large-scale waveguides), Andrey Varlamov and Alexey Malyarovsky, May/Jun93, p36 (Feature)

**Of Amoebas and Men** (amoeba in a dinner jacket), Alexey Sosinsky, Jan90, p44 (Looking Back)

**Of Combs and Coulombs** (a smorgasbord of electrical questions and facts), A. Leonovich, Jan/Feb97, p28 (Kaleidoscope)

**Off into Space** (jumping out of the plane), Vladimir Dubrovsky and Igor Sharygin, Jan/Feb92, p44 (Feature)

**Of Microscopes, E-mail, and Word of Mouth** (questions of survival), Bill G. Aldridge, May/Jun93, p2 (Publisher’s Page)

**An Old Algorithm** (taking square roots), Y. Solovyov, Mar/Apr00, p51 (At the Blackboard)

**An Old Fact and Some New Ones** (shape-numbers and number-shapes), John Conway, Sep/Oct90, p24 (Mathematical Surprises)

**Olympiad Honors** (report on the 40th International Mathematical Olympiad), Jan/Feb00, p41 (Happenings)

**Olympian Effort** (reminiscences of Moscow competitions), V. Tikhomirov, Mar/Apr00, p32 (At the Blackboard)

**Olympic Recap from England** (XXXI International Physics Olympiad), Mary Mogge, Nov/Dec00, p26 (Happenings)

**The Omnipresent and Omnipotent Neutrino** (brief history, current research), Chris Waltham, Jul/Aug93, p10 (Feature)

**One Problem After Another** (chain questions), B. M. Bolotovsky, Jan90, p13 (Quantum Smiles)

**One’s Best Approach** (summing up reciprocals), O. T. Izhboldin and L. D. Kurlyandchik, Mar/Apr99, p24 (At the Blackboard)

**Ones Up Front in Powers of Two** (Fractional Parts Theorem), Vladimir Boltyansky, Nov/Dec93, p16 (Feature)

**One, Two, Many** (“primitive” counting method of scientists), May/Jun92, p32 (Kaleidoscope)

**On Kaleidoscopes** (a look at them in all their dimensions), E. B. Vinberg, May/Jun97, p4 (Feature)

**On Quasiperiodic Sequences** (an unexpected use of graph paper), A. Levitov, A. Sidorov, and A. Stoyanovsky, Sep/Oct00, p34 (At the Blackboard)

**On the Edge** (compassless constructions), Igor Sharygin, Mar/Apr98, p28 (Kaleidoscope)

**On the Nature of Space Magnetism** (the cosmic “hydromagnetic dynamo”), Alexander Ruzmaykin, Sep/Oct95, p12 (Feature)

**On the Quantum Nature of Heat** (finding direction in chaos), V. Mityugov, Nov/Dec99, p10 (Feature)

**Optics for a Stargazer** (can one see stars at noon from the bottom of a well?), Vladimir Surdin, Sep/Oct94, p18 (Feature)

**The Orbit of Triangles** (attractors and “butterflies”), George Berzsenyi, Mar/Apr96, p43 (Math Investigations)

**The Orchard Problem** (planting trees but maintaining a view), Vladimir Jankovic, Jan/Feb96, p16 (Feature)

**Ordered Sets** (ordered triplets, some generalizations, and interesting inequalities), L. Pinter and I. Khegedysh, Jul/Aug98, p43 (At the Blackboard)

**Ornamental Groups** (Escher and symmetry groups), Vladimir Dubrovsky, Nov/Dec91, p32 (Kaleidoscope)

**Osmosis the Magnificent** (powerful, yes; perpetual …?), Norayr Paravyan, Jul/Aug96, p39 (In the Lab)

**The Other Half of What You See** (more on derivatives in algebraic problems), Vladimir Dubrovsky, Nov/Dec93, p44 (Follow-up)

**Our Old Magnetic-Enigmatic Friend** (follow-up to “The Enigmatic Magnetic Force”), E. Romishevsky, Nov/Dec00, p38 (At the Blackboard)

**Out of Flexland** (“gasping starfish” and more), Vladimir Dubrovsky, Jul/Aug92, p63 (Toy Store)

**Out Standing in the Field** (divvying up the purse in a shortened season), Dr. Mu, Jul/Aug97, p55 (Cowculations)

**Out to Pasture** (finding the digital product root of 12345^{6789}), Dr. Mu, Jul/Aug99, p54 (Cowculations)

**Overshooting the Limits** (reappraising Malthus with computer simulations), Bob Eberlein, Sep/Oct97, p14 (Feature)

#### P

**The Painter’s Paradox** (covering an infinite surface), A. A. Panov, Mar/Apr91, p10 (Quantum Smiles)

**Painting the Digital World** (surface areas of pixels and voxels), Michael H. Brill, Mar/Apr99, p10 (Feature)

**Panting Dogs, Aromatic Blooms, and Tea in a Saucer** (tales of evaporation in the natural world), Andrey Korzhuyev, Nov/Dec94, p30 (In the Open Air)

**A Partial History of Fractions** (unit fractions, sexagesimal fractions, decimal fractions, binary fractions …), N. Vilenkin, Sep/Oct00, p26 (Nomenclatorium)

**A Party of Wise Guys** (14th Annual Puzzle Party), Anatoly Kalinin, Jul/Aug95, p63 (Toy Store)

**Patterns of Predictability** (symmetry, anisotropy, and Ohm’s law), S. N. Lykov and D. A. Parshin, Nov/Dec91, p36 (Feature)

**Peering into Potential Wells** (a common aspect of three disparate objects), K. Kikoin, May/Jun01, p12 (Feature)

**Penrose Patterns and Quasi-crystals** (tiling and a high-tech alloy), V. Koryepin, Jan/Feb94, p12 (Feature)

**Perfect Shuffle** (an algorithm for a deck of six cards), Don Piele, Nov/Dec00, p55 (Informatics)

**Periodic Binary Sequences** (generating 0’s and 1’s), George Berzsenyi, Nov/Dec93, p50 (Math Investigations)

**Periodic Functions in Hiding** (math challenge), George Berzsenyi, Sep/Oct92, p39 (Math Investigations)

**A Permutator’s Bag of Tricks** (solutions to rolling-block puzzles) Vladimir Dubrovsky, Jan/Feb94, p62 (Toy Store)

**The Pharaoh’s Golden Staircase** (dynamic programming and Bellman’s formula), M. Reytman, Mar/Apr94, p4 (Feature)

**Phlogiston and the Magnetic Field** (outgrown concepts), Stephanie Eatman, Fraser Muir, and Hugh Hickman, Mar/Apr94, p35 (Looking Back)

**Photosynthesism** (artificial barriers between disciplines), Bill G. Aldridge, Jul/Aug92, p2 (Publisher’s Page)

**Physical Optics and Two Camels** (two-beam interference and the limits of far-sightedness), A. Stasenko, Sep/Oct99, p44 (At the Blackboard)

**Physics Fights Frauds** (scientific sleuthing), I. Lalayants and A. Milovanova, Jan/Feb93, p10 (Feature)

**Physics for Fools** (hare-brained experiments for crackpots), V. F. Yakovlev, Nov/Dec90, p17 (Quantum Smiles)

**Physics in the Kitchen** (simple experiments with boiling water), I. I. Mazin, Sep/Oct97, p54 (In the Lab)

**Physics in the News** (calculus and the laws of scaling), Albert A. Bartlett, May/Jun96, p50 (At the Blackboard)

**Physics Limericks** (finished and unfinished rhymes), Robert Resnick, Sep/Oct90, p52 (Quantum Smiles)

**The Physics of Chemical Reactions** (molecular kinetics), O. Karpukhin, Nov/Dec00, p4 (Feature)

**The Physics of Walking** (oscillations and parametric resonance), I. Urusovsky, Sep/Oct00, p20 (Feature)

**A Physics Soufflé** (having enough information, or too much), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug97, p30 (Physics Contest)

**Physics Without Fancy Tools** (summertime scientific observations), A. Dozorov, Jul/Aug01, p28 (Kaleidoscope)

**A Pigeonhole for Every Pigeon** (math challenge), George Berzsenyi, Sep/Oct90, p40 (Contest)

**Pigeons in Every Pigeonhole** (application of the Dirichlet principle), Alexander Soifer and Edward Lozansky, Jan90, p24 (Feature)

**Ping-Pong in the Sink** (Bernoullian behavior), Alexey Byalko, Jul/Aug93, p48 (In the Lab)

**Pins and Spin** (a bowling problem with a twist), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug95, p34 (Physics Contest)

**A Pivotal Approach** (applying rotation in problem solving), Boris Pritsker, May/Jun96, p44 (At the Blackboard)

**The Pizza Theorem—Part I** (equality of off-center slices), George Berzsenyi, Jan/Feb94, p29 (Math Investigations)

**The Pizza Theorem—Part II** (including the Calzone Theorem), George Berzsenyi, Mar/Apr94, p29 (Math Investigations)

**Planar Graphs** (can you make the connections?), A. Y. Olshansky, Jan/Feb98, p10 (Feature)

**A Planetary Air Brake** (viscous drag and the slowing of the Earth), D. C. Agrawal and V. J. Menon, Mar/Apr97, p40 (At the Blackboard)

**Planetary Building Blocks** (blueprints for creating terra firma), V. Mescheryakov, Jul/Aug98, p4 (Feature)

**Playing with the Ordinary** (exploring everyday phenomena), Sep/Oct92, p32 (Kaleidoscope)

**Play It Again …** (inducing strange repetitions), John Conway, Nov/Dec90, p30 (Mathematical Surprises)

**The Play of Light** (results of a “slight” change in the rules), Dmitry Tarasov and Lev Tarasov, May/Jun96, p10 (Feature)

**The Pointed Meeting of a Triangle’s Altitudes** (various ways of proving a well-known theorem), I. F. Sharygin, Jul/Aug99, p28 (Kaleidoscope)

**Points of Interest** (unique locations within a triangle), I. F. Sharygin, Mar/Apr98, p34 (At the Blackboard)

**A Polarizer in the Shadows** (life and physics of Etienne Malus), Andrey Andreyev, Jan/Feb94, p44 (Looking Back)

**A Portrait of Poisson** (one of the founders of modern mathematical physics), B. Geller and Y. Bruk, Mar/Apr91, p21 (Innovators)

**Portrait of Three Puzzle Graces** (Rubiklike games and group theory), Vladimir Dubrovsky, Nov/Dec91, p63 (Toy Store)

**The Power of Dimensional Thinking** (problem-solving method), Yuly Bruk and Albert Stasenko, May/Jun92, p34 (Feature)

**The Power of Likeness** (strengths and weaknesses of analogy), S. R. Filonovich, Sep/Oct91, p22 (Feature)

**The Power of the Sun and You** (surprises of scale), V. Lange and T. Lange, Jul/Aug96, p16 (Feature)

**A Prelude to the Study of Physics** (models and their role in science), Robert J. Sciamanda, Nov/Dec96, p45 (Fundamentals)

**The Price of Resistance** (“kitchen experiments” on how the medium “pushes back”), S. Betyayev, Sep/Oct00, p38 (In the Lab)

**Prime Time** (prime number infinitude), G. A. Galperin, Jan/Feb99, p10 (Feature)

**A Princess of Mathematics** (excerpt from autobiography of Sofya Kovalevskaya), Yuly Danilov, Jan/Feb94, p37 (Anthology)

**Principles of Vortex Theory** (inside the hydronamics of Helmholtz), N. Zhukovsky, Mar/Apr00, p26 (Feature)

**The Problem Book of Anania of Shirak** (ancient Armenian mathematics), Yuly Danilov, Mar/Apr93, p42 (Looking Back)

**The Problem Book of History** (mathematical approach to the past), Yuly Danilov, Sep/Oct93, p47 (Looking Back)

**The Problem of Eight Points** (intersecting lines), N. B. Vasiliev, Jan/Feb99, p25 (At the Blackboard)

**Problem Racing** (formulating math problems out of everyday experiences), Gary Sherman, Mar/Apr91, p45 (In Your Head)

**Problems Beget Problems** (follow-up on previously published problems), George Berzsenyi, Sep/Oct95, p40 (Math Investigations)

**Problems Teach Us How to Think** (as Euler said, “My pencil is sometimes more clever than my head”), V. Proizvolov, Jan/Feb01, p42 (Problem Primer)

**Programming Challenges** (problems from the 1994 IOI), Jan/Feb95, p49 (Happenings)

**Ptolemy’s Trigonometry** (proving and using his theorem), V. Zatakavai, jan/Feb01, p40 (Looking Back)

#### Q

**The Quadratic** (something old, something new), Vladimir Boltyansky, Sep/Oct95, p45 (At the Blackboard)

**The Quadratic Trinomial** (combining algebraic and geometric reasoning), A. Bolibruch, V. Uroev, and M. Shabunin, May/Jun00, p36 (At the Blackboard)

** Quantum in Outer Space and the Inner Space of Art** (International Space Year and

*Kvant*art), Bill G. Aldridge, May90, p3 (Publisher’s Page)

**The Quantum Nature of Light** (visible proof of quanta), D. Sviridov and R. Sviridova, Nov/Dec98, p28 (Looking Back)

**Quaternions** (simple operations with complex numbers), A. Mishchenko and Y. Solovyov, Sep/Oct00, p4 (Feature)

**Queens on a Cylinder** (cylindrical and toroidal chess [see “Torangles and Torboards,” Mar/Apr94]), Alexey Tolpygo, May/Jun96, p38 (Follow-up)

**Questioning Answers** (in every ending is a beginning), Barry Mazur, Jan/Feb97, p4 (Feature)

**A Question of Complexity** (and the need to simplify in solving physics problems), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec99, p32 (Physics Contest)

#### R

**Raising the Boats or Lowering the Water** (misuse of the National Science Education Standards), Bill G. Aldridge, May/Jun95, p2 (Publisher’s Page)

**Ramanujan the Phenomenon** (India’s inspired mathematician), S. G. Gindikin, Mar/Apr98, p4 (Feature)

**Randomly Seeking Cipollino** (introduction to random walk), S. Sobolev, Jul/Aug93, p20 (Feature)

**Reaching Back** (extending a helping hand), Bill G. Aldridge, Nov/Dec91, p5 (Publisher’s Page)

**Rearranging Sums** (math challenge), George Berzsenyi, Jan/Feb91, p18 (Contest)

**Reflection and Refraction** (a look at optics), Sep/Oct91, p32 (Kaleidoscope)

**Relativistic Conservation Laws** (special relativity is no excuse not to obey conservation laws), Larry D. Kirkpatrick and Arthur Eisenkraft, Nov/Dec00, p30 (Physics Contest)

**Relativity of Motion** (frames of reference), A. I. Chernoutsan, Mar/Apr99, p44 (At the Blackboard)

**Remarkable Geometric Formulas** (algebraic relations), I. F. Sharygin, Mar/Apr99, p28 (Kaleidoscope)

**Remarkable Limits** (generated by classical means), M. Crane and A. Nudelman, Jul/Aug97, p34 (At the Blackboard)

**Repartitioning the World** (population and the powers of two), V. Arnold, Jan/Feb00, p34 (Digit Demographics)

**Resistance in the Multidimensional Cube** (a physical application of a math concept), F. Nedemeyer and Y. Smorodinsky, Sep/Oct96, p12 (Feature)

**Restricted Distances** (math challenge), George Berzsenyi, Jan/Feb92, p31 (Math Investigations)

**Returning to a Former State** (Rubik’s Cube and periodicity), A. Savin, Nov/Dec99, p28 (Kaleidoscope)

**Revisiting Napoleon’s Theorem** (via the internet), George Berzsenyi, Jul/Aug95, p37 (Math Investigations)

**Revisiting the N-cluster Problem** (a classic problem from Math.Note at DEC), George Berzsenyi, Jan/Feb97, p47 (Math Investigations)

**A Revolution Absorbed** (how non-Euclidean geometry entered the mainstream), E. B. Vinberg, Jan/Feb97, p18 (Feature)

**Revolutionary Teaching** (the Ecole Polytechnique in Paris), Yuri Solovyov, Mar/Apr98, p26 (Looking Back)

**The Riddle of the Etruscans** (gold spheres on jewelry), A. S. Alexandrov, Sep/Oct91, p42 (In the Lab)

**A Ride on Sierpinski’s Carpet** (fractals in the mind and in nature), I. M. Sokolov, May/Jun92, p6 (Feature)

**Rigidity of Convex Polyhedrons** (solid solutions), N. P. Dolbilin, Sep/Oct98, p8 (Feature)

**Ripples on a Cosmic Sea** (graviational waves), Shane S. Larson, Mar/Apr01, p4 (Feature)

**Rising Star** (a problem of wave interference), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct94, p44 (Physics Contest)

**Rivers, Typhoons, and Molecules** (all are affected by the Coriolis force), Albert Stasenko, Jul/Aug98, p38 (At the Blackboard)

**Rock ’n’ No Roll** (rocking cliffs), A. Mitrofanov, Mar/Apr01, p18 (Feature)

**The Rolling Cubes** (solutions and records), Vladimir Dubrovsky, May/Jun94, p62 (Toy Store)

**Rolling Wheels** (design considerations facing the engineer), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun00, p30 (Physics Contest)

**Rook versus Knight** (twists in a common endgame), Yevgeny Gik, Nov/Dec90, p64 (Checkmate!)

**A Rotating Capacitor** (electromagnetic fields and motion), A. Stasenko, May/Jun99, p34 (At the Blackboard)

**Row, Row, Row Your Boat** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb93, p42 (Physics Contest)

**A Royal Problem** (marital tension on a chessboard), Martin Gardner and Andy Liu, Jul/Aug93, p30 (Checkmate!)

**Rubik Art** (monumental designs built from the classic cube), May/Jun97, p31 (Toy Store)

**Russian Bazaar** (economic hard times), Bill G. Aldridge, May/Jun92, p2 (Publisher’s Page)

#### S

**Sally Ride** (biographical sketch), Jan90, p39 (Innovators)

**Satellite Aerodynamic Paradox** (orbital irregularities), A. Mitrofanov, Jan/Feb99, p18 (Feature)

**The Satellite Paradox** (acceleration upon entering atmosphere), Y. G. Pavlenko, Mar/Apr93, p50 (At the Blackboard)

**Savoring Science** (piquancy of primary sources), Bill G. Aldridge, Nov/Dec93, p2 (Publisher’s Page)

**The School Bus and the Mud Puddles** (inclusion-exclusion theory), Thomas P. Dence, Jan/Feb95, p24 (Feature)

**Science and Fanaticism** (reflections on public policy), Bill G. Aldridge, Sep/Oct92, p2 (Publisher’s Page)

**The Science of Pole Vaulting** (materials and techniques), Peter Blanchonette and Mark Stewart, May/Jun01, p48 (Physical Education)

**The Science of the Jump-Shot** (basketball kinematics), Roman Vinokur, Jan/Feb93, p46 (At the Blackboard)

**Science vs. the UFO** (solving a tranformational puzzle), Will Oakley, Jan/Feb92, p84 (Toy Store)

**Science with Charm** (communicating the simplicity of physics), Bernard V. Khoury, Mar/Apr98, p2 (Front Matter)

** sciLINKS: The World’s a Click Away** (techy textbooks), Gerald F. Wheeler, Sep/Oct98, p2 (Front Matter)

**Scores and SNO in Sudbury** (report on the 1997 International Physics Olympiad), Nov/Dec97, p44 (Happenings)

**Sea Sounds** (underwater refraction of sound waves), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr96, p34 (Physics Contest)

**Sea Waves** (describing wave motion), L. A. Ostrovsky, Nov/Dec98, p20 (Feature)

**The Secret of the Venerable Cooper** (Johannes Kepler and mysterious barrels), M. B. Balk, May90, p36 (Looking Back)

**Seeing is Believing** (visual proofs of the Pythagorean theorem), Daniel J. Davidson and Louis H. Kauffman, Jul/Aug97, p24 (Feature)

**Selecting the Best Alternative** (mathematical programming and problems of management), V. Gutenmakher and Zh. Rabbot, Nov/Dec99, p36 (At the Blackboard)

**Self-propelled Sprinkler Systems** (an attempt at applying Segner’s wheel), A. Stasenko, May/Jun01, p40 (In the Open Air)

**Self-similar Mosaics** (when the whole is the sum of its parts), N. Dolbilin, Jul/Aug00, p4 (Feature)

**Shady Computations** (a paradox at the boundary of dark and light), Chauncey W. Bowers, Nov/Dec96, p34 (At the Blackboard)

**Shake, Rattle, and Roll** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun92, p40 (Physics Contest)

**Shall We Light a Fire in the Fireplace?** (an equation that seems to say: “Don’t bother”), Victor Lange, Jan/Feb96, p40 (At the Blackboard)

**Shape Numbers** (exploring a Fermat hypothesis), A. Savin, Sep/Oct00, p14 (Feature)

**Shapes and Sizes** (math challenge), George Berzsenyi, Nov/Dec 90, p34 (Contest)

**Sharing a Point** (a handy method for a common geometric challenge), I. Sharygin, Jul/Aug00, p35 (At the Blackboard)

**Shortest Networks** (Jacob Steiner’s famous problem), E. Abakumov, O. Izhboldin, L. Kurlyandchik, and N. Netsvetayev, May/Jun93, p4 (Feature)

**Shortest Path** (Edsger Kijkstra and his algorithm), Don Piele, May/Jun00, p54 (Informatics)

**Short Takes** (jokes, cartoons), Mar/Apr91, p11 (Quantum Smiles)

**The Short, Turbulent Life of Evariste Galois** (a revolutionary in politics and math), Y. P. Solovyov, Nov/Dec91, p42 (Looking Back)

**Shouting into the Wind** (quantifying how sounds fade on windy days), G. Kotkin, Nov/Dec00, p40 (In the Open Air)

**Signals, Graphs, and Kings on a Torus** (ensuring error-free communication), A. Futer, Nov/Dec95, p12 (Feature)

**A Simple Capacity for Heat** (specific heat and molecular motion), Valeryan Edelman, Nov/Dec93, p22 (Feature)

**The Simplicity of Mathematics** (complications of life, Stone Age math), Jan/Feb91, p48 (Quantum Smiles)

**The Sines and Cosines You Do and Don’t Know** (survey with linguistic digressions), Nov/Dec93, p32 (Kaleidoscope)

**Sink or Swim** (whales and buoyancy), N. Rodina, May/Jun00, p34 (In the Open Air)

**Sir Isaac Newton** (poem), David Arns, p14, Mar/Apr98

**Six Challenging Dissection Tasks** (and the birth of “high-phi”), Martin Gardner, May/Jun94, p26 (Mathematical Surprises)

**Sky** (poem), David Arns, Mar/Apr99, p54

**Slinking Around** (springy physics), Diar Chokin, Nov/Dec92, p64 (Toy Store)

**Slipping Silage** (how to calculate the amount of stolen hay), Dr. Mu, May/Jun97, p63 (Cowculations)

**Smale’s Horseshoe** (a venture in symbolic dynamics), Yuly Ilyashenko and Anna Kotova, May/Jun95, p12 (Feature)

**Smoky Mountain** (why the air is warmer on the leeward side), Ivan Vorobyov, Nov/Dec95, p38 (At the Blackboard)

**A Snail That Moves Like Light** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct91, p28 (Physics Contest)

**Solar Calculator** (accurate thinking about precision), Bill G. Aldridge, Sep/Oct96, p2 (Publisher’s Page)

**Solving for the Slalom** (understand the forces and it’s all downhill from there), A. Abrikosov, Nov/Dec99, p20 (Feature)

**Some Mathematical Magic** (“magic squares” and a magic tesseract), John Conway, Mar/Apr91, p28 (Mathematical Surprises)

**Some Things Never Change** (problem solving with invariants), Yury Ionin and Lev Kurlyandchik, Sep/Oct93, p34 (Feature)

**Songs That Shatter and Winds That Howl** (sound thinking), Jan/Feb94, p32 (Kaleidoscope)

**Sound Power** (intense acoustic waves), O. V. Rudenko and V. O. Cherkezyan, Sep/Oct98, p26 (Feature)

**Sources, Sinks, and Gaussian Spheres** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug92, p24 (Physics Contest)

**So What’s the Joke?** (the damage done by a computer virus), Bill G. Aldridge, Jan/Feb96, p2 (Publisher’s Page)

**So What’s the Point?** (replacing algebra with geometry in vector analysis), Gary Haardeng-Pedersen, Mar/Apr96, p48 (At the Blackboard)

**So, What’s Wrong?** (debunking problematic solutions), I. F. Sharygin, Jul/Aug98, p34 (Feature)

**Space Physics: A Voyage of Adventure** (near-Earth phenomena), M. Frank Ireton, Sue Cox Kauffman, Ron Morse, and Mark Pesses, Nov/Dec92, p40 (Poster)

**Spinning Gold from Straw** (how two secrets can add up to one certainty), S. Artyomov, Y. Gimatov, and V. Fyodorov, Jul/Aug96, p20 (Feature)

**Spinning in a Jet Stream** (Bernoulli, Magnus, and a vacuum cleaner), Stanislav Kuzmin, Sep/Oct94, p49 (In the Lab)

**Split Image** (behavior of light in a broken lens), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct95, p36 (Physics Contest)

**Sportin’ Life** (physics of free throws and field goals), Arthur Eisenkraft and Larry Kirkpatrick, Jan/Feb99, p30 (Physics Contest)

**Square or not Square?** (recognizing which numbers can’t be perfect squares), Mark Saul and Titu Andreescu, Jul/Aug99, p49 (Gradus ad Parnassum)

**Squaring the Hyperbola** (a different approach to logarithms and exponents), Andrey Yegorov, Mar/Apr97, p26 (Feature)

**Squeaky Doors, Squealing Tires, and Singing Violins** (dry friction), I. Slobodetsky, Nov/Dec92, p46 (In the Lab)

**A Star is Born** (gravity backs a stellar production), V. Surdin, Mar/Apr00, p12 (Feature)

**The Steiner–Lehmus Theorem** (addressing angle bisectors), I. F. Sharygin, Nov/Dec98, p26 (At the Blackboard)

**Stirring Up Bubbles** (vapor cones and vortices in a boiling liquid), T. Polyakova, V. Zablotsky, and O. Tsyganenko, Mar/Apr97, p52 (In the Lab)

**The Stomachion** (Archimedean game), Yuly Danilov, Jan/Feb93, p64 (Toy Store)

**Stop on Red, Go on Green …** (what to do on yellow?), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb94, p34 (Physics Contest)

**The Story of a Dewdrop** (surface shape and phase equilibrium), A. A. Abrikosov, Sep/Oct92, p34 (Feature)

**A Strange Emperor and a Strange General** (psychology and numerical avalanches), Igor Akulich, May/Jun94, p16 (Feature)

**Stretching Exercise** (solutions to challenging geometry problems), Donald Barry, Jul/Aug01, p12 (Feature)

**Strips on a Board** (close packing in two dimensions), Boris Kotlyar, Nov/Dec94, p63 (Toy Store)

**Strolling to Chebyshev’s Theorem** (problems in honor of the Chebyshev centennial), Victor Ufnarovsky, Nov/Dec94, p4 (Feature)

**Student Inventors Show Their Stuff** (Duracell/NSTA Scholarship Competition winners), May/Jun95, p52 (Happenings)

**Suds Studies** (soap films and bubbles), P. Kanaev, Jul/Aug98, p47 (In the Lab)

**Suggestive Tilings** (new material, old topics revisited), Vladimir Dubrovsky, Jul/Aug94, p36 (Follow-up)

**A Summer Festival of Puzzlers** (twelve problems from twelve countries), Jul/Aug93, p32 (Kaleidoscope)

**Summer Study in New York and Tartu, Maryland and Moscow** (Science and Mathematics International Institutes), May90, p54 (Happenings)

**Summertime, and the Choosin’ Ain’t Easy** (ice cream counting problem), Kurt Kreith, Jul/Aug92, p28 (At the Blackboard)

**Summing Up** (curiosities of single-digit addition), Mark Lucianovic, Jul/Aug92, p51 (Student Corner)

**The Sum of Minima and the Minima of Sums** (a general method for proving many well-known inequalities), R. Alekseyev and L. Kurlyandchik, Jan/Feb01, p34 (At the Blackboard)

**Superconducting Magnet** (how its superconducting switch works), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec94, p36 (Physics Contest)

**The Superfluidity of Helium II** (loss of viscosity at a low temperature), Alexander Andreyev, Jan90, p34 (Feature)

**Superheated by Equations** (mathematics of heat exchange), Dmitry Fomin, Jul/Aug93, p4 (Feature)

**Superprime Beef** (superprimes and repusprimes), Dr. Mu, Jan/Feb97, p55 (Cowculations)

**The Superproblem of Space Flight** (origins of Tsiolkovsky formula), Albert Stasenko, Jul/Aug94, p20 (Feature)

**Surfing the Electromagnetic Spectrum** (an array of questions and facts), Jan/Feb95, p32 (Kaleidoscope)

**Surprises of Conversion** (proving the converse of theorems), I. Kushnir, Mar/Apr96, p38 (Sticking Points)

**Surprises of the Cubic Formula** (an equation of little use and much significance), Dmitry Fuchs and Irene Klumova, May/Jun96, p16 (Feature)

**Suspending Belief** (calculating a bridge’s curve), Y. S. Petrov, Jul/Aug93, p28 (At the Blackboard)

**Swinging from Star to Star** (accelerating a spacecraft into the cosmos), Vladimir Surdin, Mar/Apr97, p4 (Feature)

**Swinging Techniques** (parametric resonance), Alexey Chernoutsan, May/Jun93, p64 (Toy Store)

**Swords into Plowshares** (Russian wingships and California fires), Bill G. Aldridge, Jan/Feb94, p2 (Publisher’s Page)

**Symmetry in Algebra** (getting started with group theory), Mark Saul and Titu Andreescu, Mar/Apr98, p43 (Gradus ad Parnassum)

**Symmetry, Part II** (polynomial equations and their roots), Mark Saul and Titu Andreescu, May/Jun98, p34 (Gradus ad Parnassum)

**Symmetry in Algebra, Part III** (using the factor theorem), Mark Saul and Titu Andreescu, Jul/Aug98, p41 (Gradus ad Parnassum)

**The Symmetry of Chance** (introduction to geometric probability), Nikolay Vasilyev, May/Jun93, p22 (Feature)

**Symmetry on the Chessboard** (accidental and intentional symmetry), Yevgeny Gik, May90, p64 (Checkmate!)

#### T

**Tackling Twisted Hoops** (invariants and untangling challenges), S. Matveyev, Nov/Dec00, p8 (Feature)

**Tactile Microscopes** (sensing techniques), A. Volodin, Jan/Feb93, p36 (Feature)

**Taking Advantage** (hard times for Russian science), Bill G. Aldridge, Jan/Feb93, p2 (Publisher’s Page)

**Taking a Flying Leap** (Hooke’s law on a South Seas island), A. A. Dozorov, Sep/Oct90, p10 (At the Blackboard)

**Taking on Triangles** (recounting a solution, with fruitful “side trips”), A. Kanel and A. Kovaldzhi, Mar/Apr01, p10 (Feature)

**Taking the Earth’s Temperature** (how hot is the Earth’s core?), Alexey Byalko, Jan/Feb95, p4 (Feature)

**A Tale of One City** (Tournament of Towns report), Andy Liu, May/Jun94, p50 (Happenings)

**The Talking Wave of the Future** (fiber optics), Yury Nosov, Nov/Dec92, p12 (Feature)

**A Talk with Professor I. M. Gelfand** (reminiscences of a mathematical boyhood), recorded by V. S. Retakh and A. B. Sosinsky, Jan/Feb91, p20 (Feature)

**Tartu in the Summer of ’91** (math program for American and Soviet students), Mark Saul, Mar/Apr92, p56 (Happenings)

**A Tell-tale Trail and a Chemical Clock** (two experiments with alternating current), N. Paravyan, Sep/Oct95, p42 (In the Lab)

**Temperature, Heat, and Thermometers** (overview of temperature and its measurement), A. Kikoyin, May90, p16 (Feature)

**Thanks for Your Support!** (end-of-year ruminations), Bill G. Aldridge, Mar/Apr91,p3 (Publisher’s Page)

**The Theorem of Menelaus** (the secant line), B. Orach, May/Jun01, p44 (At the Blackboard)

**The Thermodynamic Universe** (does time have a beginning and an end?), I. D. Novikov, Mar/Apr98, p10 (Feature)

**Think Fast!** (order-of-magnitude estimates in physics), G. V. Meledin, Mar/Apr91, p36 (Feature)

**Think Twice, Code Once** (cutting a tree trunk into boards), Dr. Mu, May/Jun99, p55 (Cowculations)

**This Just In …** (exchange of scientific views in the daily press), Jan/Feb91, p48 (Quantum Smiles)

**Thoroughly Modern Diophantus** (the arithmetic of elliptic curver), Y. Solovyov, Sep/Oct99, p10 (Feature)

**The Three Chords Theorem** (new version of the first part of Ptolemy’s theorem), Shikong Le and Lioukan Chen, Jul/Aug01, p48 (At the Blackboard)

**Three Golds and Two Silvers in Italy** (report on the XXX International Physics Olympiad), Mary Mogge and Leaf Turner, Nov/Dec99, p52 (Happenings)

**Three Metaphysical Tales** (profound thoughts of lines, light, and planets), A. Filonov, Mar/Apr94, p28 (Quantum Smiles)

**Three Paths to Mt. Fermat-Euler** (primes and squares), Vladimir Tikhomirov, May/Jun94, p4 (Feature)

**Three Physicists and One Log** (which physicist bears the brunt?), Roman Vinokur, Mar/Apr97, p48 (At the Blackboard)

**Thrills by Design** (physics in the amusement park), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct93, p38 (Physics Contest)

**Through a Glass Brightly** (remarkable properties of green glass), B. Fabrikant, Sep/Oct90, p34 (In the Lab)

**Through the Decimal Point** (quadratics and 10-adic numbers), A. B. Zhiglevich and N. N. Petrov, Jul/Aug94, p16 (Feature)

**Throwing the Book at Them** (critique of textbooks), Bill G. Aldridge, Nov/Dec94, p2 (Publisher’s Page)

**Tied into Knot Theory** (the basics of mathematical knots), O. Viro, May/Jun98, p16 (Feature)

**Time to Move On …** (celebrating *Quantum*’s 12 years), Arthur Eisenkraft, Jul/Aug01, p3 (Front Matter)

**The Tip of the Iceberg** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct92, p24 (Physics Contest)

**To Calculate or Guess—You Decide!** (the virtues of guessing), I. Akulich, Mar/Apr91, p47 (In Your Head)

**To Err Is Human** (correction is the key), Bill G. Aldridge, Nov/Dec92, p2 (Publisher’s Page)

**To Flexland with Mr. Flexman** (two flexible toys), Alexey Panov, Mar/Apr92, p64 (Toy Store)

**Tomahawk Throwing Made Easy** (physics of getting the hatchet to stick), V. A. Davydov, Nov/Dec90, p4 (Feature)

**A Topless Roller Coaster** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec92, p28 (Physics Contest)

**Topology and the Lay of the Land** (mathematical topography), Mikhail Shubin, Sep/Oct92, p4 (Feature)

**Topsy-turvy Pyramids** (rolling-block puzzles), Vladimir Dubrovsky, Sep/Oct93, p63 (Toy Store)

**Torangles and Torboards** (toroidal constructions), Vladimir Dubrovsky, Mar/Apr94, p63 (Toy Store)

**The Torch is Passed** (introducing NSTA’s new Executive Director), Bill G. Aldridge, Sep/Oct95, p2 (Publisher’s Page)

**Tori, Tori, Tori!** (bagels and beyond), Mar/Apr94, p32 (Kaleidoscope)

**Toroidal Currency** (money with a twist), Martin Gardner, Sep/Oct94, p52 (Mathematical Surprises)

**The Tournament of Towns** (international math competition), Nikolay Konstantinov, Jan90, p50 (Happenings)

**The Toy that Drove the Universe** (critique of the “anthropic principle”), Jef Raskin, Nov/Dec99, p49

**Trees Worthy of Paul Bunyan** (physics and tree growth), Anatoly Mineyev, Jan/Feb94, p4 (Feature)

**Triad and True** (puzzles based on invariants), Vladimir Dubrovsky, Jan/Feb95, p62 (Toy Store)

**Triangles of Differences** (math challenge), George Berzsenyi, May/Jun92, p30 (Math Investigations)

**Triangles of Sums** (math challenge), George Berzsenyi, Jul/Aug92, p53 (Math Investigations)

**Triangles with the Right Stuff** (a special case of right triangles), L. D. Kurlyandchik, Jul/Aug98, p32 (Kaleidoscope)

**Triangular Surgery** (problems in which polygons are sliced into triangles), O. Izhboldin and L. Kurlyandchik, Nov/Dec00, p34 (At the Blackboard)

**Tricky Rearrangements** (more rolling-block puzzles), Vladimir Dubrovsky, Nov/Dec93, p63 (Toy Store)

**A Trio of Topics** (center of mass, electricity in metals, time travel) A. I. Chernoutsan and Andrey Varlamov, Sep/Oct92, p47 (At the Blackboard)

**True on the Face of It** (clockwork refutation of Zeno’s paradox), Gordon Moyer, Jul/Aug95, p16 (Feature)

**Tunnel Trouble** (dropping an apple in a tunnel through the Earth), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb00, p32 (Physics Contest)

**Turning Algebraic Identities into Geometric Inequalities** (a use for complex numbers), Zalman Skopets, Sep/Oct94, p41 (At the Blackboard)

**Turning the Incredible into the Obvious** (non-Euclidean geometry), Vladimir Boltyansky, Sep/Oct92, p18 (Feature)

**Turning the Tides** (understanding the attraction of the Moon), V. E. Belonuchkin, May/Jun98, p10 (Feature)

**2-adic Numbers** (introduction to Hensel distances), B. Becker, S. Vostokov, and Y. Ionin, Jul/Aug99, p21 (Feature)

**Two Physics Tricks** (reluctant water becomes a fountain), V. Mayer and E. Mamayeva, Mar/Apr91, p35 (In the Lab)

**Tycho, Lord of Uraniborg** (a portrait of the great astronomer Tycho Brahe), J. D. Haines, Sep/Oct00, p25 (Looking Back)

#### U

**Unidentical Twins** (using conjugate numbers to tame irrationalitites), V. N. Vaguten, Nov/Dec97, p20 (Feature)

**Uninscribable Polyhedrons?** (Proving the Steinitz theorem), E. Andreev, May/Jun01, p18 (Feature)

**The Universe Discovered** (from contemplation to calculation), Yury Solovyov, May/Jun92, p12 (Feature)

**A Universe of Questions** (what we know about the universe), Yakov Zeldovich, Jan/Feb92, p6 (Feature)

**The Unlimited Appeal of The Limits to Growth** (it sparked the debate on “sustainable” economies), Tim Weber, Sep/Oct97, p2 (Front Matter)

**An Unsinkable Disk** (hands-on hydraulics), A. Luzin, Sep/Oct99, p42 (In the Lab)

**Up the Down Incline** (gravity defied? or obeyed unusually?), Alexander Mitrofanov, Mar/Apr96, p44 (In the Lab)

**Up, Up, and Away** (hot air rising), Arthur Eisenkraft and Larry Kirkpatrick, Sep/Oct98, p34 (Physics Contest)

**The USA Computing Olympiad** (report), Donald T. Piele, May/Jun93, p51 (Happenings)

**The USA Mathematical Talent Search** (competition without time pressure), George Berzsenyi, Sep/Oct90, p56 (Happenings)

**Using Cents to Sense Surface Tension** (experiments with pennies and fluids), Mary E. Stokes and Henry D. Schreiber, Mar/Apr01, p42 (In the Lab)

**US Physics Team Places Third in Beijing** (XXV International Physics Olympiad), Nov/Dec94, p50 (Happenings)

**US Team Places Second at IMO** (report), Cecil Rousseau and Daniel Ullman, Jan/Feb93, p51 (Happenings)

**US Wins Gold at the International Physics Olympiad** (report), Larry D. Kirkpatrick, Nov/Dec92, p51 (Happenings)

#### V

**Vacuum** (making something out of nothing), A. Semenov, Jul/Aug99, p12 (Feature)

**Van der Waals and his Equation** (making an ideal gas real), B. Yavelov, Nov/Dec97, p36 (Looking Back)

**Van der Waerden’s Pathological Function** (examining a “miserable sore”), B. Martynov, Jul/Aug98, p12 (Feature)

**Van Rooman’s Challenge** (solving a baffling equation), Yury Solovyov, Jan90, p42 (Looking Back)

**Variations on a Theme** (the Arithmetic Mean-Geometric Mean inequality), Mark Saul and Titu Andreescu, Jan/Feb98, p37 (Gradus ad Parnassum)

**Vavilov’s Paradox** (apparent violation of energy conservation law), V. A. Fabrikant, Jul/Aug92, p49 (At the Blackboard)

**A Venusian Mystery** (the riddle of her rotation), Vladimir Surdin, Jul/Aug96, p4 (Feature)

**The View from the Masthead** (new subtitle, departure, clarification), Bill G. Aldridge, Sep/Oct93, p2 (Publisher’s Page)

**The View through a Bamboo Screen** (birth of the modulation collimator), Minoru Oda, Jan/Feb92, p34 (Feature)

**Vikings and Voltmeters** (report on the 1996 International Physics Olympiad), Dwight E. Neuenschwander, Sep/Oct96, p52 (Happenings)

**A Viscous River Runs Through It** (the engine-saving properties of motor oil), Henry D. Schreiber, Nov/Dec95, p42 (In the Lab)

**Visionary Science** (atmospheric anomalies), V. Novoseltsev, May/Jun98, p21 (Feature)

**Volta, Oersted, and Faraday** (titans of electricity), A. Vasilyev, Jul/Aug01, p34 (Looking Back)

**Volumes without Integrals** (the Cavalieri principle), I. F. Sharygin, Mar/Apr97, p32 (Kaleidoscope)

#### W

**Wacky Pyramids** (cubic trisection), Yakov Smorodinsky, Mar/Apr93, p64 (Toy Store)

**Wake Up!** (brainteasers for vacationers), Anatoly Savin, Jul/Aug92, p32 (Kaleidoscope)

**Walker in a Winter Wonderland** (musings inspired by *The Flying Circus of Physics*), Alexander Borovoy, May90, p52 (In the Lab)

**Walking on Water** (physics of unusual modes of locomotion), K. Bogdanov, Jan/Feb91, p36 (Feature)

**A Walk on the Sword’s Edge** (literally—is it possible?), V. Meshcheryakov, Jan/Feb96, p10 (Feature)

**Warp Speed** (traveling faster than light), Arthur Eisenkraft and Larry Kirkpatrick, Nov/Dec98, p32 (Physics Contest)

**The “Water Worm”** (the Archimedean screw), M. Golovey, Jan/Feb97, p40 (In the Lab)

**A Watery View and Waterloo** (waves, mirages, and the sounds of battle), A. Stasenko, Mar/Apr00, p48 (In the Open Air)

**Wave Interference** (light diffractin and interference patterns), L. Bakanina, Jul/Aug01, p42 (At the Blackboard)

**The Wave Mechanics of Erwin Schrödinger** (an aspect of quantum theory), A. Vasilyev, May/Jun01, p36 (Looking Back)

**Wave on a Car Tire** (limitations to speed), L. Grodko, Nov/Dec98, p10 (Feature)

**Waves Beneath the Waves** (ocean acoustics), L. Brekhovskikh and V. Kurtepov, Jan/Feb98, p16 (Feature)

**Wave Watching** (investigation of a fundamental phenomenon), L. Aslamazov and I. Kikoyin, Jan/Feb91, p12 (Feature)

**Weighing an Astronaut** (weight-watching while weightless), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr95, p36 (Physics Contest)

**Weightlessness in a Car?** (road-trip physics), Sergei Pikin, Jul/Aug98, p31 (At the Blackboard)

**Weightlessness in a Magic Box** (some assembly required), A. Dozorov, May/Jun99, p41 (In the Lab)

**Welcome to International Space Year!** (introduction to special ISY issue of *Quantum*), L. A. Fisk, Jan/Feb92, p2 (Guest Page)

**Welcome to Quantum!** (birth of

*Quantum*), Bill G. Aldridge, Jan90, p5 (Publisher’s Page)

**What a Commotion!** (molecular motion), May90, p32 (Kaleidoscope)

**What Did the Conductor Say?** (mathematical induction), Mikhail Gerver, Jul/Aug92, p38 (Feature)

**What Goes Up …** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb92, p32 (Physics Contest)

**What Happens at the Boundary** (surface tension, surface films, and other interesting phenomena), A. Borovoy and Y. Klimov, Jan/Feb01, p46 (In the Lab)

**What Harmony Means** (exploration of harmonic mean), Vladimir Dubrovsky and Anatoly Savin, Jan/Feb93, p32 (Kaleidoscope)

**What I Learned in Quantum Land** (poem), David Arns, Jan/Feb98, p52 (Musings)

**What is Elegance?** (what mathematicians say), Julia Angwin, Jan/Feb95, p34 (Ruminations)

**What is Thought?** (and where does it happen?), V. Meshcheryakov, May/Jun01, p22 (Feature)

**What Little Stars Do** (physics of twinkling), Pavel Bliokh, Mar/Apr94, p22 (Feature)

**What’s New in the Solar System?** (applying old laws of orbital motion), Nov/Dec90, p32 (Kaleidoscope)

**What’s That You See?** (misperception of light), B. M. Bolotovsky, Mar/Apr93, p4 (Feature)

**What’s the “Best” Answer?** (it’s not just a matter of getting the right answer), Boris Kordemsky, Jul/Aug96, p28 (Kaleidoscope)

**What the Seesaw Taught** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb91, p19 (Contest)

**What You Add is What You Take** (going backward to go forward), Andrey Yegorov, Nov/Dec94, p40 (At the Blackboard)

**When a Body Meets a Body** (Giant Impact theory of the Moon’s formation), A. G. W. Cameron, Jan/Feb95, p16 (Feature)

**When Days Are Months** (physics challenge), Arthur Eisenkraft and Larry D. Kirkpatrick, May90, p34 (Contest)

**When Things Fall Apart** (exercises in stability), Boris Korsunsky, May/Jun99, p4 (Feature)

**When Trojans and Greeks Collide** (the challenge of multibody systems), I. Vorobyov, Sep/Oct99, p16 (Feature)

**Where Do Problems Come From?** (the art of problem composition), I. Sharygin, Jan/Feb01, p18 (Feature)

**Where is Last Year's Winter?** (a problem of heat exchange), A. Stasenko, May/Jun01, p30 (In the Lab)

**While the Water Evaporates …** (time enough to think about the rate of the process), Mikhail Anfimov and Alexey Chernoutsan, Jul/Aug96, p25 (At the Blackboard)

**Whirlwinds over the Runway** (vortices generated by large jet planes), Albert Stasenko, Jul/Aug97, p42 (At the Blackboard)

**Whistling in Space** (electromagnetic signals from outer space), Pavel Bliokh, Mar/Apr97, p18 (Feature)

**Who Needs a Lofty Tower?** (the Earth’s rotation adds a twist to certain experiments), A. Stasenko, May/Jun00, p39 (At the Blackboard)

**Who Owns Roman Numerals?** (the history and practice of I’s, V’s, X’s …), Steven Schwartzman, Jan/Feb96, p4 (Feature)

**Why Are the Cheese Holes Round?** (transmission of pressure), Sergey Krotov, Nov/Dec90, p46 (In Your Head)

**Why Doesn’t the Sack Slide?** (impulsive sliding friction), Alexey Chernoutsan, May/Jun97, p50 (In the Lab)

**Why Don’t Planes Fly with Cats and Dogs?** (flight dynamics), S. K. Betyaev, Sep/Oct98, p14 (Feature)

**Why Is a Burnt Match Bent?** (playing with fire), V. Milman, Nov/Dec98, p40 (In the Lab)

**Why Is the Sky Blue?** (the physics behind the sky’s colors), Alexander Buzdin and Sergei Krotov, Mar/Apr98, p47 (In the Open Air)

**Why Study Mathematics?** (putting practicality in its place), Vladimir Arnold, Sep/Oct94, p24 (Feature)

**Why Won’t Weeble Wobbly Go to Bed?** (the physics of a “light-headed” toy), L. Borovinsky, May/Jun96, p64 (Toy Store)

**The Wind in the Quicksilver** (backward ion flow in mercury amalgams), Ivan Vorobyov, Jan/Feb96, p20 (Feature)

**Winning Strategies** (solutions to previous Kaleidoscope), Vladimir Dubrovsky, Sep/Oct95, p61 (Toy Store)

**Wobbling Nuclear Drops** (macrolaws in microworlds), Yuly Bruk, Maxim Zelnikov, and Albert Stasenko, Jan/Feb97, p12 (Feature)

**The Wolf, the Baron, and Isaac Newton** (action and reaction and more), V. A. Fabrikant, Nov/Dec91, p24 (Smiles)

**The Wonderland of Poincaria** (Lobachevsky bicentenary), Simon Gindikin, Nov/Dec92, p20 (Feature)

**Word and Image** (hints on how to read *Quantum*), Bill G. Aldridge, Mar/Apr95, p2 (Publisher’s Page)

**The World3 Model** (a graphic representation of a system dynamics model), Sep/Oct97, p32 (Kaleidoscope)

**The World According to Malthus and Volterra** (mathematical theory of the struggle for existence), Constantine Bogdanov, Jul/Aug92, p18 (Feature)

**World-class Physics in Colonial Williamsburg** (IPO report), Larry D. Kirkpatrick, Sep/Oct93, p51 (Happenings)

**The World in a Bubble** (sustainability in closed ecological systems), Joshua L. Tosteson, Sep/Oct97, p20 (Feature)

**The World Puzzle Championship** (report and sample puzzles), Vladimir Dubrovsky, Jul/Aug96, p55 (Toy Store)

**The Worm Problem of Leo Moser—Part I** (math challenge), George Berzsenyi, Jan/Feb93, p41 (Math Investigations)

**The Worm Problem of Leo Moser—Part II** (math challenge), George Berzsenyi, Mar/Apr93, p16 (Math Investigations)

**The Worm Problem of Leo Moser—Part III** (math challenge), George Berzsenyi, May/Jun93, p21 (Math Investigations)

**A Wrinkle in Reality** (excerpt from Lobachevsky’s *New Elements of Geometry*), Yuly Danilov, Jul/Aug92, p44 (Anthology)

**The WRITE Stuff** (how the USA 2000 Informatics Team was formed), Don Piele, Sep/Oct00, p53 (Informatics)

#### Y

**Young US Mathematicians Excel in Bombay** (report on the 1996 International Mathematical Olympiad), Sep/Oct96, p55 (Happenings)