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Date: Wed, 3 Jul 1996 05:26:31 -0300
From: FERNANDO VON REICHENBACH <reichen@cnea.edu.ar>
Message-Id: <199607030826.FAA03614@cnea.edu.ar>
To: Cube-Lovers@ai.mit.edu


3/7/96
Hi!, I'm Isidro, yesterday Mark wrote:

> The shortest flip of 2 adjacent edges uses the same 4 sides
> (so I say "this sequence has face-index 4), is the following:
> Note use of L-- and L++ etc to denote 2 one-fifth turns of a face!
> It is of the form P U1 P' U' which is another commutator.
>
> L-- R++ F+  U-  R+  U+  L++ R++ U+
> R-- L-- U-  R-  U+  F-  R-- L++ U-
>
> = 18 face turns or 26 one-fifth turns. Perhaps there is some
> .improvement to this sequence.

  I have a megaminx borrowed and solve it using some of the 3x3x3
knowledge that I have. It took me two years to solve all cases of
the 4x4x4 (borrowed from the same friend), but not trying so hard...
  I suppose you already have this, but just in case I'll send my own
flip edges formulas in the standard cube to see if they could help
with the other (I guess not):
  R'F'L'U B'U B L F R U'B U'B' (14) (flips F & B edges)
the same formula starting in the 4th move (UB'UBLFRU'BU'B' R'F'L')
flips B & L edges.
  A longer, (but faster in my hands) R B R'L U L'B F'D L'D'UB'U'F B'
(16) (flips L & R)
  R' U2 R2 U R' U' R' U2 L F R F' L' (16) (13 counting ^2 as 1) flips F&R
  
  L'B'U R'U'R B L followed by R B U'L U L'B'R' (16) flips B&R and maybe
works on megaminx...

Hope I'm sending something you don't have.

I'm looking for improving this formulas (all of them exchanges (no
fliping) 2 corners and 2 edges on the top face:
  R2 B' R' U' R U R U'B R B'U B R (15/14) xchg BL-FL corn & F-R edg
  F R'U'R F'L'B U'B'L R'U R / L U F U'F'L' (19) xchg BL-BR corn & R-L edg
  F R'F'R U R U'R2U'R U R B'R'B U (17/16) xchg Bl-FR corn & L-B edg
  L'UR'U L U'R U'L F'L' [F F'] U'L'U L F U (17) xchg BL-FR corn & L-F edg
  R U R'U'R'F R [F' F] R U'R'U'R U R'F' (15/14) xchg RF-RB corn & L-R edg
(I've some more but it's enough, besides I must tranlate them from spanish)

  PS: What a coincidence, my first mail were intended to you, Mark.