Pentagonal-decagrammic duoprism
Jump to navigation
Jump to search
Pentagonal-decagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pistadedip |
Coxeter diagram | x5o x10/3o () |
Elements | |
Cells | 10 pentagonal prisms, 5 decagrammic prisms |
Faces | 50 squares, 10 pentagons, 5 decagrams |
Edges | 50+50 |
Vertices | 50 |
Vertex figure | Digonal disphenoid, edge lengths (1+√5)/2 (base 1), √(5–√5)/2 (base 2), √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stiddip–10/3–stiddip: 108° |
Pip–4–stiddip: 90° | |
Pip–5–pip: 72° | |
Central density | 3 |
Number of external pieces | 25 |
Level of complexity | 12 |
Related polytopes | |
Army | Semi-uniform padedip |
Regiment | Pistadedip |
Dual | Pentagonal-decagrammic duotegum |
Conjugate | Pentagrammic-decagonal duoprism |
Abstract & topological properties | |
Flag count | 1200 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H2×I2(10), order 200 |
Convex | No |
Nature | Tame |
The pentagonal-decagrammic duoprism, also known as pistadedip or the 5-10/3 duoprism, is a uniform duoprism that consists of 10 pentagonal prisms and 5 decagrammic prisms, with two of each at each vertex.
Vertex coordinates[edit | edit source]
The coordinates of a pentagonal-decagrammic duoprism, centered at the origin and with edge length 1, are given by:
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- .
Representations[edit | edit source]
A pentagonal-decagrammic duoprism duoprism has the following Coxeter diagrams:
- x5o x10/3o () (full symmetry)
- x5o x5/3x () (H2×H2 symmetry, decagons as dipentagons)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "pistadedip".