15 Apr
2010
15 Apr
'10
5:11 p.m.
On Thursday 15 April 2010 22:09:00 Allan Wechsler wrote:
With pen and paper I've managed to produce the Nim values for the game with between 1 and 6 disks. The values I get are almost certainly a mere tease: 0, 1, 2, 0, 1, 2. I don't expect that pattern to continue.
It apparently doesn't. A maximally-stupid program in a slow language gives me the following, for n from 0 upwards: n | 0 1 2 3 4 5 6 7 8 9 A B C D --+---------------------------- | 0 0 1 2 0 1 2 3 1 0 3 2 4 1 The largest nim-value encountered in calculating that far is 6, which occurs e.g. for the position 0 1 2 36 4 5 7 8 9 A B (and not with any smaller number of discs). Anyone want to check and/or extend this? -- g