Great heptagram

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Great heptagram
Rank2
TypeRegular
Notation
Bowers style acronymGahg
Coxeter diagramx7/3o ()
Schläfli symbol{7/3}
Elements
Edges7
Vertices7
Vertex figureDyad, length 2cos(3π/7)
Measures (edge length 1)
Circumradius
Inradius
Area
Angle
Central density3
Number of external pieces14
Level of complexity2
Related polytopes
ArmyHeg, edge length
DualGreat heptagram
ConjugatesHeptagon, heptagram
Convex coreHeptagon
Abstract & topological properties
Flag count14
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7), order 14
ConvexNo
NatureTame

The great heptagram is a polygon with 7 sides. Its created by taking the second stellation of a heptagram. A regular great heptagram has equal sides and equal angles.

It is one of two regular 7-sided star polygons, the other being the heptagram.

Vertex coordinates[edit | edit source]

Coordinates for a regular heptagram of edge length 2sin(3π/7), centered at the origin, are:

  • (1, 0),
  • (cos(2π/7), \pmsin(2π/7)),
  • (cos(4π/7), \pmsin(4π/7)),
  • (cos(6π/7), \pmsin(6π/7)).

External links[edit | edit source]