Saturday, July 12, 2008
53. The Bucky Spider
An fly and a blind spider are on opposite corners of a buckyball (Carbon 60, a soccer ball shape). The fly is stationary and the spider moves at random from one corner to another along the edges only, once a second. On average, how many seconds does it take the spider to reach the fly? (5 Points)
Replace "buckyball" with "cube" and the problem is worth (3 points) .
Replace "cube" with "dodecahedra" and the problem is worth (4 points).