I have made full use of all the symmetries (including inverses) both of the sequences and of the positions. A position or a sequence won't appear another time in a symmetric form. The only exception is for the list in Lars' method where I had rather give the list of positions as it appears in his site, so it doesn't take into account inversing the positions.
My notations are explained here. How the algorithms have been obtained is explained here.
Thanks to Dan Knight, there are now images to show the positions, in addition to the notations that I used before.
Algorithms for Jessica Fridrich's method :
Other 2 stages solutions :
permutation and orientation of corners (25 configurations, average : 9.18),
then permutation and orientation of edges (19 configurations, average : 11.27).
permutation and orientation of edges (13 configurations, average : 7.87),
then permutation and orientation of corners (42 configurations, average : 11.73).
Algorithms for Lars' method (assumes edges already have correct orientation) :
Step 5 and 6 simulaneously (25 configurations, average : 9.78).
Step 6 and 7 simulaneously (35 configurations, average : 11.72). The positions are in the same order as in Lars' site.
(so in fact I give a list of 50 configurations, since it doesn't take into account inversing the positions)
Step 5, 6 and 7 simulaneously (177 configurations, average : 12,08).
Last modification : 13/04/2001