Square-great hendecagrammic duoprism
Jump to navigation
Jump to search
Square-great hendecagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Coxeter diagram | x4o x11/4o () |
Elements | |
Cells | 11 cubes, 4 great hendecagrammic prisms |
Faces | 11+44 squares, 4 great hendecagrams |
Edges | 44+44 |
Vertices | 44 |
Vertex figure | Digonal disphenoid, edge lengths 2cos(4π/11) (base 1) and √2 (base 2 and sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Gishenp–11/4–gishenp: 90° |
Cube–4–gishenp: 90° | |
Cube–4–cube: | |
Height | 1 |
Central density | 4 |
Number of external pieces | 26 |
Level of complexity | 12 |
Related polytopes | |
Army | Semi-uniform shendip |
Dual | Square-great hendecagrammic duotegum |
Conjugates | Square-hendecagonal duoprism, Square-small hendecagrammic duoprism, Square-hendecagrammic duoprism, Square-grand hendecagrammic duoprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B2×I2(11), order 176 |
Convex | No |
Nature | Tame |
The square-great hendecagrammic duoprism, also known as the 4-11/4 duoprism, is a uniform duoprism that consists of 11 cubes and 4 great hendecagrammic prisms, with 2 of each at each vertex.
Vertex coordinates[edit | edit source]
The vertex coordinates of a square-great hendecagrammic duoprism, centered at the origin and with edge length 2sin(4π/11), are given by:
where j = 2, 4, 6, 8, 10.
Representations[edit | edit source]
A square-great hendecagrammic duoprism has the following Coxeter diagrams:
- x4o x11/4o (full symmetry)
- x x x11/4o () (I2(11)×A1×A1 symmetry, great hendecagrammic prismatic prism)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".