Dodecagrammic prism

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Dodecagrammic prism
Prism 12-5.png
Rank3
TypeUniform
SpaceSpherical
Info
Coxeter diagramx x12/5o
SymmetryI2(12)×A1, order 48
ArmySemi-uniform Twip
RegimentDodecagrammic prism
Elements
Vertex figureIsosceles triangle, edge lengths 2, 2, 2–3
Faces12 squares, 2 dodecagrams
Edges12+24
Vertices24
Measures (edge length 1)
Circumradius9–43/2 ≈ 0.71969
Volume3(2–3) ≈ 0.80385
Dihedral angles4–12/5: 90°
 4–4: 30°
Height1
Central density5
Euler characteristic2
Related polytopes
DualDodecagrammic bipyramid
ConjugateDodecagonal prism
Properties
ConvexNo
OrientableYes
NatureTame

The dodecagrammic prism is a prismatic uniform polyhedron. It consists of 2 dodecagrams and 12 squares. Each vertex joins one dodecagram and two squares. As the name suggests, it is a prism based on a dodecagram.

Vertex coordinates[edit | edit source]

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

  • (±(3–1)/2, ±(3–1)/2, ±1/2),
  • (±1/2, ±(2–3)/2, ±1/2),
  • (±(2–3)/2, ±1/2, ±1/2).

External links[edit | edit source]