Decagonal duotegum
(Redirected from 10-10 duopyramid)
Decagonal duotegum | |
---|---|
Rank | 4 |
Type | Noble |
Notation | |
Bowers style acronym | Dedit |
Coxeter diagram | m10o2m10o () |
Elements | |
Cells | 100 tetragonal disphenoids |
Faces | 200 isosceles triangles |
Edges | 20+100 |
Vertices | 20 |
Vertex figure | Decagonal tegum |
Measures (based on decagons of edge length 1) | |
Edge lengths | Base (20): 1 |
Lacing (100): | |
Circumradius | |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Dedit |
Regiment | Dedit |
Dual | Decagonal duoprism |
Conjugate | Decagrammic duotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(10)≀S2, order 800 |
Convex | Yes |
Nature | Tame |
The decagonal duotegum or dedit, also known as the decagonal-decagonal duotegum, the 10 duotegum, or the 10-10 duotegum, is a noble duotegum that consists of 100 tetragonal disphenoids and 20 vertices, with 20 cells joining at each vertex. It is also the 20-9 step prism. It is the first in an infinite family of isogonal decagonal hosohedral swirlchora and also the first in an infinite family of isochoric decagonal dihedral swirlchora.
Vertex coordinates[edit | edit source]
The vertices of a decagonal duotegum based on 2 decagons of edge length 1, centered at the origin, are given by: