Decagrammic prism

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Decagrammic prism
Rank3
TypeUniform
Notation
Bowers style acronymStiddip
Coxeter diagramx x10/3o ()
Elements
Faces10 squares, 2 decagrams
Edges10+20
Vertices20
Vertex figureIsosceles triangle, edge lengths 2, 2, (5–5)/2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–10/3: 90°
 4–4: 72°
Height1
Central density3
Number of external pieces22
Level of complexity6
Related polytopes
ArmySemi-uniform Dip, edge lengths (base), 1 (sides)
RegimentStiddip
DualDecagrammic tegum
ConjugateDecagonal prism
Convex coreDecagonal prism
Abstract & topological properties
Flag count120
Euler characteristic2
OrientableYes
Genus0
Properties
SymmetryI2(10)×A1, order 40
ConvexNo
NatureTame

The decagrammic prism, or stiddip, is a prismatic uniform polyhedron. It consists of 2 decagrams and 10 squares. Each vertex joins one decagram and two squares. As the name suggests, it is a prism based on a decagram.

Vertex coordinates[edit | edit source]

A decagrammic prism of edge length 1 has vertex coordinates given by:

Representations[edit | edit source]

A decagrammic prism has the following Coxeter diagrams:

  • x x10/3o (full symmetry)
  • x x5/3x (base with H2 symmetry)

Related polyhedra[edit | edit source]

The great rhombisnub dodecahedron is a uniform polyhedron compound composed of 6 decagrammic prisms.

External links[edit | edit source]