Enneagonal-grand hendecagrammic duoprism |
---|
|
Rank | 4 |
---|
Type | Uniform |
---|
Notation |
---|
Coxeter diagram | x9o x11/5o (File:CDel node 1.pngFile:CDel 9.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 11.pngFile:CDel rat.pngFile:CDel 5.pngFile:CDel node.png) |
---|
Elements |
---|
Cells | 11 enneagonal prisms, 9 grand hendecagrammic prisms |
---|
Faces | 99 squares, 11 enneagons, 9 grand hendecagrams |
---|
Edges | 99+99 |
---|
Vertices | 99 |
---|
Vertex figure | Digonal disphenoid, edge lengths 2cos(π/9) (base 1), 2cos(5π/11) (base 2), √2 (sides) |
---|
Measures (edge length 1) |
---|
Circumradius | |
---|
Hypervolume | |
---|
Dichoral angles | Gashenp–11/5–Gashenp: 140° |
---|
| Ep–4–gashenp: 90° |
---|
| Ep–9–ep: |
---|
Central density | 5 |
---|
Number of external pieces | 31 |
---|
Level of complexity | 12 |
---|
Related polytopes |
---|
Army | Semi-uniform ehendip |
---|
Dual | Enneagonal-grand hendecagrammic duotegum |
---|
Conjugates | Enneagonal-hendecagonal duoprism, Enneagonal-small hendecagrammic duoprism, Enneagonal-hendecagrammic duoprism, Enneagonal-great hendecagrammic duoprism, Enneagrammic-hendecagonal duoprism, Enneagrammic-small hendecagrammic duoprism, Enneagrammic-hendecagrammic duoprism, Enneagrammic-great hendecagrammic duoprism, Enneagrammic-grand hendecagrammic duoprism, Great enneagrammic-hendecagonal duoprism, Great enneagrammic-small hendecagrammic duoprism, Great enneagrammic-hendecagrammic duoprism, Great enneagrammic-great hendecagrammic duoprism, Great enneagrammic-grand hendecagrammic duoprism |
---|
Abstract & topological properties |
---|
Euler characteristic | 0 |
---|
Orientable | Yes |
---|
Properties |
---|
Symmetry | I2(9)×I2(11), order 396 |
---|
Convex | No |
---|
Nature | Tame |
---|
The enneagonal-grand hendecagrammic duoprism, also known as the 9-11/5 duoprism, is a uniform duoprism that consists of 11 enneagonal prisms and 9 grand hendecagrammic prisms, with 2 of each at each vertex.
The coordinates of a enneagonal-grand hendecagrammic duoprism, centered at the origin and with edge length 4sin(π/9)sin(5π/11), are given by:
where j = 2, 4, 8 and k = 2, 4, 6, 8, 10.