On 04/23/95 at 23:29:00 mark.longridge@canrem.com said:
It took a while to find a pattern which could be transformed 16
different ways. Still trying to find a pattern which will
result in 4 distinct ways, but I am not optimistic. A random walk
through the cube resulted in a pattern which would transform
48 ways in every case I tried.
For well over 99% of the positions we have |{m'Xm}|=48, so it will
be a long time before a random walk finds anything. If my quick
and dirty calculations are correct, |{m'Xm}|=48 for in excess
of 99.9999986% of the M-conjugate classes. For positions themselves,
the percentage would be higher still.
= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU