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I have posted a bit on my version of Kociemba's program, and I can only

conclude that my program is too fast. After doing the superfliptwist,

the superflip and the supertwist I thought about trying those configurations

where Singmaster's notes did not give a solution better than 21 moves.

I find now that it takes more time to enter the configurations than what

the program needs to solve it! Upto now I found the following (I will not

give the exact moves, as I think Kociemba wants to publish a bit more about

this):

superflip: 20 moves

supertwist: 16 moves

superfliptwist: 20 moves

Walker's 6+: 17 moves (was 22)

Walker's 6X: 19 moves (was 25)

Walker's worm: 14 moves (was 23)

Initialization time for the program is 2.5 minutes. But it finds solutions

after only a few seconds! If you have a configuration that you think is at

a large distance from start, mail it and I will disprove it ;-).

dik

--

dik t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland

dik@cwi.nl