James Buddenhagen wrote:
> While morphing between a snubcube and a cuboctahedron 
> I spotted a nice arrangement of diagonals forming these 
> interlocking triangles.
> 
> Jim Buddenhagen
That is very nice!  I was playing around with the same shapes (cube and 
octahedron), a while ago, but never noticed the diagonal vertices.  What 
I did notice, was that rotating the faces of the cube 45 degrees and 
out, gives the same shape as rotating the faces of the octahedron 60 
degrees and out -- and the vertices are identically those of your 
interlocking triangles (what is it, a snubcube or a cuboctahedron?)  But 
the triangles -- that's really fascinating.

Dave Matthews

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