From mreid@ptc.com  Thu Feb 16 09:48:16 1995
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Date: Thu, 16 Feb 1995 10:01:11 -0500
From: mreid@ptc.com (michael reid)
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To: cube-lovers@ai.mit.edu, bryan@wvnvm.wvnet.edu
Subject: superflip  composed with  pons asinorum
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jerry asks

>                               have you tried your Kociemba's
> algorithm programs for the composition of Pons Asinorum with
> superflip?

after superflip, this is probably the second most likely candidate
for an antipode.  there are only 4 positions which are fixed by
all 48 symmetries of the cube.  they are:

start,
superflip,
pons asinorum, and
the composition of superflip and pons asinorum.

obviously start is of no interest and neither is pons asinorum.

my quarter turn version found this in less than one minute:

B3 L1 D1 L1 F3 U3 D3 L1 B3 D3 F3 R1 L3 F3 U1 D1 L2 U1 D1 B2    22q, 20f

so this position is at least as close to start as superflip.

i've tested (but not yet extensively) all the local maxima given by
hoey and saxe.  i'll give a report on these some time soon.

mike