Date: 15 Sep 1981 1553-PDT
From: ISAACS at SRI-KL
Subject: lower bounds
To: Hoey at CMU-10A
cc: cube-lovers at MIT-MC

  [This message is being sent to Dan Hoey, and refers to his message of
9-Jan-81, subject: The Supergroup -- Part 2: at least 25 qtw and why]
   Appended to this message is a longish message I recieved, which has
some good ideas to use.  In particular, what about using your technique
on a 2x2x2 cube, or an (idealized) edge-only cube?  And then comparing
it with his clculations for the 2x2x2.
   I'm not sure without a 2x2x2 in front of me, but I think there are
only 2 distinct 1 qtw per set of opposite faces, and only one 2qtw move.
And that the period is only 2.  Is that true?  However, there should be
more low-number-of-twists identities.
   I'm distrustful of the actual calculations in the message below, because
I don't see the 9 new configurations after only 1 twist.  I think there are
only 6. Or am I missing something?
  Also, Dan or someone else on the cube-lovers network: how about compiling
all the messages about lower bounds and identities (after a while) into 
one file we can ftp and look at all together.
11-Sep-81 12:26:52-PDT,6785;000000000001
Mail-from: ARPAnet host BERKELEY rcvd at 11-Sep-81 1223-PDT
Date: 11 Sep 1981 11:43:07-PDT