Heptagonal prism

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Heptagonal prism
Prism 7.png
Rank3
TypeUniform
SpaceSpherical
Bowers style acronymHep
Info
Coxeter diagramx x7o
SymmetryI2(7)×A1, order 28
ArmyHep
RegimentHep
Elements
Vertex figureIsosceles triangle, edge lengths 2, 2, 2cos(π/7)
Faces7 squares, 2 heptagons
Edges7+14
Vertices14
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4:
 4–7: 90°
Height1
Central density1
Euler characteristic2
Number of pieces9
Level of complexity3
Related polytopes
DualHeptagonal tegum
ConjugatesHeptagrammic prism, Great heptagrammic prism
Properties
ConvexYes
OrientableYes
NatureTame

The heptagonal prism, or hep, is a prismatic uniform polyhedron. It consists of 2 heptagons and 7 squares. Each vertex joins one heptagon and two squares. As the name suggests, it is a prism based on a heptagon.

Vertex coordinates[edit | edit source]

The coordinates of a heptagonal prism, centered at the origin and with edge length 2sin(π/7), are given by:

External links[edit | edit source]

  • Klitzing, Richard. "Hep".