Pentagrammic disphenoid

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Pentagrammic disphenoid
Rank5
TypeScaliform
Notation
Bowers style acronymStadow
Coxeter diagramxo5/2oo ox5/2oo&#x
Elements
Tera10 pentagrammic scalenes
Cells25 tetrahedra, 10 pentagrammic pyramids
Faces50 triangles, 2 pentagrams
Edges10+25
Vertices10
Vertex figurePentagrammic scalene
Measures (edge length 1)
Circumradius
Height
Related polytopes
ArmyPentagonal disphenoid
DualPentagrammic disphenoid
ConjugatePentagonal disphenoid
Abstract & topological properties
OrientableYes
Properties
SymmetryH2▲S2, order 200
ConvexNo
NatureTame

The pentagrammic disphenoid, or stadow, is a noble scaliform polyteron with 10 pentagrammic scalenes and 10 vertices. 7 facets join at each vertex. It can be constructed as the pyramid product of 2 regular pentagrams with a height chosen so that all edge lengths are equal.

Vertex coordinates[edit | edit source]

The vertices of a pentagrammic disphenoid of edge length 1 are given by:

External links[edit | edit source]