4D Euclidean space

Polytope of the Month

This month, we present the octa-augmented truncated tesseract:

The octa-augmented truncated tesseract

This is a CRF polytope that sports 24 square orthobicupolae (J28) as cells, in addition to 8 cuboctahedra, 64 triangular prisms, and 16 tetrahedra. It can be considered as a partial Stott expansion of the 24-cell according to its subsymmetry as an octa-augmented tesseract (as opposed to full 24-cell symmetry).

It is, obviously, related to last month's Polytope of the Month, the octa-augmented runcinated tesseract, except that it has square ortho­bicupolae where the latter has elongated square bipyramids.

Find out more on the octa-augmented truncated tesseract page. As usual, the full coordinates are included.


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Last updated 07 Aug 2018.

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