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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?

Solution


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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