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Quantum CyberTeaser: July/August 1996
B178
Rolling coins. Two identical coins touch the side of a rectangle at the same
point—one from the inside, the other from the outside. The coins are rolled in the
plane along the perimeter of the rectangle until they come back to their initial
positions. The height of the rectangle is twice the circumference of the coins and its
width is twice its height. How many revolutions will each coin make?


The winners:
 John Condon (Houston, Texas)
 Leonid Borovskiy (Brooklyn, New York)
 11th Grade Math Club: Ilknur Kocak, Murat Tanoren, Sımay Parmaksiz, Ozsel Beleli
(Izmir, Turkey)
 Nikolai Yakovenko (College Park, Maryland)
 Keith Grizzell (Gainesville, Florida)
 Nikolai Kukharkin (Princeton, New Jersey)
 Jim Grady (Branchburg, New Jersey)
 Lorenzo Maccone (Ivrea, Italy)
 Mahesh Madhav (Morton Grove, Illinois)
 Peter Onyisi (Arlington, Virginia)
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