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This 4-dimensional polytope is the 24-cell with corners truncated, so it becomes an alternating lattice of icosahedra and tetrahedra.  Beloved by 4-space enthusiasts far and wide, this is the sole polytope on this site which is not one of the six regular solids in that space.

This model was suggested by Henry Cohn.

Snub 24-Cell metal print, 4" diameter - $420

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