Date: 10 Sep 1981 1447-PDT
From: ISAACS at SRI-KL
Subject: cube query
To: cube-lovers at MIT-MC

   The 2x2x2 cube is solved in the corner sub-group, ignoring the (non-existent)
edges.  The so-called "Dinman Style" cube (probably meant to be "diamond")
has the corners cut off and everything stretched to make a somewhat distorted
rhombicuboctahedron (the six center facies are square; the corners are now
triangles, and the old edges are rectangles).  Solving this involves only
positioning moves - all orientation (twisting) is invisible.  Thus these
two cubes involve two "pure" subgroups.  Can anyone design (by either cutting,
recoloring, or even inventing new mechanisms) cubes or pseudo-cubes which
only involve edge-type moves, or which only involve twisting, with
positioning ignored? 
   --- Stan Isaacs
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