Friday December 12, 2008

Friday, December 12, 2008

Filed under: General,Geometry — Tags: Cubehenge, Eightfold Cube, Reinhardt — m759 @ 3:09 pm

On the Symmetric Group S₈

Wikipedia on Rubik's 2×2×2 "Pocket Cube"–

"Any permutation of the 8 corner cubies is possible (8! positions)."

Some pages related to this claim–

The claim is of course trivially true for the unconnected subcubes of Froebel's Third Gift:

Photo by Norman Brosterman
fom the Inventing Kindergarten
exhibit at The Institute for Figuring
(co-founded by Margaret Wertheim)

See also:

MoMA Goes to Kindergarten,

and

"Ad Reinhardt and Tony Smith:
A Dialogue,"
an exhibition opening today
at Pace Wildenstein.

For a different sort
of dialogue, click on the
artists' names above.

For a different
approach to S₈,
see Symmetries.

"With humor, my dear Zilkov.
Always with a little humor."

-- The Manchurian Candidate