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Date: Tue, 7 Dec 1993 13:40:20 EST
From: "Jerry Bryan"
To: "Cube Lovers List"
Subject: Re: Unique antipode of edges only
In-Reply-To: Message of 12/07/93 at 12:29:32 from andyl@harlequin.com
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?