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On 12/07/93 at 12:29:32 Andy Latto said:

The antipodal position is an interesting one. If you take the antipodal

position, and flip all the edges, you get:*5* 5*5 *5* *1* 1*1 *1* *3**2**4* 3*32*24*4 *3**2**4* *6* 6*6 *6*Antipodal with edges flipped.

This looks like a rotation of the solved state at first glance, since

all the faces on a given side of the cube are the same color. But

look again! This is not the solved state of the original cube, but

of the mirror image cube. If you added in the centers or the corners,

there would be no way to add them to make this a solved state.

Indeed. I spoke too quickly when I said the antipodal was simply

Start with the edges flipped. I stared at it, flipped the edges in

my mind, and it "looked" solved, so I assumed it was Start.

I am not yet for sure what they look like, but of the other two states

with order-24 equivalence classes, one is at level 9 and the other

is at level 12. Since the only one at an even level is at level 12,

I am assuming that will be the one which is Start with the edges all

flipped. The one at level 9 will probably be the mirror image of Start.

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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?