Pentagonal-dodecahedral duoprism

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Pentagonal-dodecahedral duoprism
Rank5
TypeUniform
Notation
Bowers style acronymPedoe
Coxeter diagramx5o x5o3o
Elements
Tera12 pentagonal duoprisms, 5 dodecahedral prisms
Cells30+60 pentagonal prisms, 5 dodecahedra
Faces150 squares, 20+60 pentagons
Edges100+150
Vertices100
Vertex figureTriangular scalene, edge lengths (1+5)/2 (base triangle and top), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Diteral anglesPedip–pip–pedip:
 Dope–doe–dope: 108°
 Pedip–pip–dope: 90°
Central density1
Number of external pieces17
Level of complexity10
Related polytopes
ArmyPedoe
RegimentPedoe
DualPentagonal-icosahedral duotegum
ConjugatePentagrammic-great stellated dodecahedral duoprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH3×H2, order 1200
ConvexYes
NatureTame

The pentagonal-dodecahedral duoprism or pedoe is a convex uniform duoprism that consists of 5 dodecahedral prisms and 12 pentagonal duoprisms. Each vertex joins 2 dodecahedral prisms and 3 pentagonal duoprisms.

Vertex coordinates[edit | edit source]

The vertices of a pentagonal-dodecahedral duoprism of edge length 1 are given by:

as well as all even permutations of the last three coordinates of:

External links[edit | edit source]