Hexadecagram

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Hexadecagram
Rank2
TypeRegular
Notation
Bowers style acronymHad
Coxeter diagramx16/5o
Schläfli symbol{16/5}
Elements
Edges16
Vertices16
Vertex figureDyad, length 2-2-2
Measures (edge length 1)
Circumradius
Inradius
Area
Angle67.5°
Central density5
Number of external pieces32
Level of complexity2
Related polytopes
ArmyHed, edge length
DualHexadecagram
ConjugatesHexadecagon, Small hexadecagram, Great hexadecagram
Convex coreHexadecagon
Abstract & topological properties
Flag count32
Euler characteristic0
OrientableYes
Properties
SymmetryI2(16), order 32
ConvexNo
NatureTame

The hexadecagram, or had, is a non-convex polygon with 16 sides. It's created by taking the fourth stellation of a hexadecagon. A regular hexadecagram has equal sides and equal angles.

It is one of three regular 16-sided star polygons, the other two being the small hexadecagram and the great hexadecagram.

It is the uniform quasitruncation of the octagram.

Vertex coordinates[edit | edit source]

The vertices of a regular small hexadecagram of edge length 1 are given by all permutations of:

External links[edit | edit source]