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The two patterns I just posted are the only two for which the size

of the equivalence class is 48. The next size up is 72, and there

are twelve patterns whose equivalence class size is 72. Things

become less interesting as the equivalence class size increases because

they are less symmetrical overall. Also, there are more patterns.

Finally, these things take a good deal of time to chase down.

Therefore, I am going to stop chasing down "pretty patterns"

for now unless somebody is just dying to see the patterns whose

equivalence class size is 72.

Finally, nobody really answered an earlier question, but is the

following true: 1) Mirror-Image-of-Start is 12 q-turns from

Start, and a sequence is known (Dan Hoey sent me a well-known

sequence), 2) All-Edges-Flipped is 9 q-turns from Start, and a

sequence is known, and 3) Mirror-Image-of-Start-and-All-Edges-Flipped

(the antipodal of Start) is 15 q-turns from Start, and a sequence

is *not* known? If this is true, then I will start working on

the 15 move sequence.

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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

If you don't have time to do it right today, what makes you think you are

going to have time to do it over again tomorrow?