Older blog entries for Bram (starting at number 110)  27 May
2004 (updated 27 May 2004 at 01:55 UTC) »  I accidentally hit
'post' instead of 'preview'. Move along, nothing to see here.
Cayley Graphs, Permutation Puzzles, and Archimedean Solids  For
many years I had an idea for an approach to solving rubik's
cube. Just recently I found a trivial expository example of my
approach. Jaap of course took my idea and ran with it and now
has a gallery of quite remarkable correspondences between simple
permutation puzzles and archimedean solids. (My contribution was
the cuboctahedron.)  Gambling pools with odds  Racetrack betting
has a very curious feature: When placing your bet, you don't
know what the actual odds are. The current odds are readily
available, but those in principle could completely change before
the close of betting. An interesting variant would be to allow
people to place bets on a horse which were contingent on the
odds on that horse being at least a certain value. I haven't
worked out whether it w