Great stelloctagonal expandiduoprism
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| Great stelloctagonal expandiduoprism | |
|---|---|
| Rank | 4 |
| Type | Scaliform |
| Notation | |
| Bowers style acronym | Gisoxdip |
| Elements | |
| Cells | 64 tetrahedra, 16 blends of 2 great cubicuboctahedra and octagrammic prism |
| Edges | 128+128+256 |
| Vertices | 128 |
| Vertex figure | Blend of triangular podium and trapezoid pyramid, edge lengths 1 (triangles) and (1+√2)/2 (remaining edges) |
| Measures (edge length 1) | |
| Circumradius | √(3–√2)/2 ≈ 0.89045 |
| Central density | 8 |
| Related polytopes | |
| Army | Oadet |
| Regiment | Gondip |
| Conjugate | Small stelloctagonal expandiduoprism |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(8)≀S2, order 512 |
| Convex | No |
| Nature | Tame |
The great stelloctagonal expandiduoprism, or gisoxdip, is a nonconvex scaliform polychoron that consists of 64 regular tetrahedraand 16 blends of 2 great cubicuboctahedra and octagrammic prism. 2 tetrahedra and 4 blends of great cubicuboctahedron and cross hatch great cubicuboctahedron join at each vertex.
It is constructed as a blend of 2 great tesseractitesseractihexadecachora and 2 great hexadecadisoctachora. Its vertex figure is in turn a blend of one vertex figure of each, making the vertex figure convex. It has the same symmetry as the octagonal duoprism.
External links[edit | edit source]
- Bowers, Jonathan. "Category S5: Ondip Family".