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This is another 4-dimensional solid projected into 3-space, this one made up of 24 octahedral cells.  Also known as the hyperdiamond or octaplex, this in many ways the most interesting of the regular solids in 4-space.  Among other properties it is self-dual, and is the regular polytope with no analogue among the five Platonic solids of 3-space. 

This model was suggested by Henry Cohn.

24-Cell metal print, 4" long - $420

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