[next] [prev] [up] Date: Tue, 09 May 95 19:18:18 -0400
[next] [prev] [up] From: Jerry Bryan <BRYAN@wvnvm.wvnet.edu >
~~~ [prev] [up] Subject: Re: Orders of Symmetry
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.

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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

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