4D Euclidean space
This is the octa-augmented runcitruncated 16-cell, a beautiful polytope that sports 24 elongated square bipyramids (J15) as cells, among other shapes. It can also be considered as one of the partial Stott contractions of the runcitruncated 24-cell, or a Stott expansion of the octa-augmented runcinated tesseract.
4 Sep 2018:
1 Sep 2018:
The Polytope of the Month for September is up!
This month, we present 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.
1 Aug 2018:
The Polytope of the Month for August is up!
It has 72 vertices, 256 edges, 256 polygons, and 72 cells (including 24 elongated square bipyramids), and is related to the 24-cell as a modified partial Stott expansion, besides being an augmentation of the runcinated tesseract.
23 Jul 2018:
16 Jul 2018:
1 Jul 2018:
The Polytope of the Month for July is up!