Pyriicositetrahemiicositetrachoron
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Pyriicositetrahemiicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pihi |
Elements | |
Cells | 24 square pyramids 12 elongated bowtie tegums |
Faces | 24+24+24 triangles 24 squares 12 hexagons |
Edges | 24+24 3-fold 24+24 5-fold |
Vertices | 24 |
Vertex figure | No-symmetry cube faceting |
Measures (edge length 1) | |
Circumradius | 1 |
Related polytopes | |
Army | Ico |
Regiment | Ico |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | order 24 |
Convex | No |
Nature | Wild |
The pyriicositetrahemiicositetrachoron is a nonconvex scaliform polychoron. It has 24 square pyramids and 12 central elongated bowtie tegums, with 5 square pyramids and 5 elongated bowtie tegums at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S45).