Great cycloantiprism
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Great cycloantiprism | |
---|---|
Rank | 4 |
Type | Scaliform |
Notation | |
Bowers style acronym | Gocap |
Elements | |
Cells | 10 pentagonal prisms 50 tetrahedra 50 square pyramids |
Faces | 100+100 triangles 50 squares 10 pentagons |
Edges | 50+50+100 |
Vertices | 50 |
Measures (edge length 1) | |
Circumradius | 1 |
Hypervolume | |
Related polytopes | |
Army | Pedap |
Regiment | Gudap |
Conjugate | Toroidal cycloantiprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(10)×I2(10)/2, order 200 |
Convex | No |
Nature | Tame |
The great cycloantiprism or gocap is a nonconvex scaliform polychoron that consists of 50 tetrahedra, 10 pentagonal prisms, and 50 square pyramids. 4 tetrahedra, 2 pentagonal prisms, and 5 square pyramids join at each vertex.
Related polychora[edit | edit source]
The great hectosnub pyrihectosnub cycloduoantiprism, a compound of 2 great cycloantiprisms, exists in a subregiment of the pentacubic extended duoantiprism.
The great dishexacosiswirlprismatic hecatonicosachoron, a compound of 12 great cycloantiprisms, exists in the regiment of the small stellated hecatonicosachoron.
External links[edit | edit source]
- _Geometer. "Uniform Polychoron #1850".
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S47).