Square-decagrammic duoprism
(Redirected from 10/3-4 duoprism)
Square-decagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sistadedip |
Coxeter diagram | x4o x10/3o () |
Elements | |
Cells | 10 cubes, 4 decagrammic prisms |
Faces | 10+40 squares, 4 decagrams |
Edges | 40+40 |
Vertices | 40 |
Vertex figure | Digonal disphenoid, edge lengths √2(5–√5)/2 (base 1) √2 (base 2 and sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stiddip–10/3–stiddip: 90° |
Cube–4–stiddip: 90° | |
Cube–4–cube: 72° | |
Height | 1 |
Central density | 3 |
Number of external pieces | 24 |
Level of complexity | 12 |
Related polytopes | |
Army | Semi-uniform squadedip |
Regiment | Sistadedip |
Dual | Square-decagrammic duotegum |
Conjugate | Square-decagonal duoprism |
Abstract & topological properties | |
Flag count | 960 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B2×I2(10), order 160 |
Convex | No |
Nature | Tame |
The square-decagrammic duoprism, also known as sistadedip or the 4-10/3 duoprism, is a uniform duoprism that consists of 10 cubes and 4 decagrammic prisms, with 2 of each at each vertex.
Vertex coordinates[edit | edit source]
The coordinates of a square-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
- ,
- ,
- .
Representations[edit | edit source]
A square-decagrammic duoprism has the following Coxeter diagrams:
- x4o x10/3o () (full symmetry)
- x4o x5/3x () (B2×H2 symmetry, decagons as dipentagons)
- x x x10/3o () (I2(10)×A1×A1 symmetry, squares as rectangles)
- x x x5/3x () (H2×A1×A1 symmetry)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".