Compound of two octagrams

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Compound of two octagrams
Rank2
TypeRegular
Notation
Bowers style acronymDiog
Schläfli symbol{16/6}
Elements
Components2 octagrams
Edges16
Vertices16
Vertex figureDyad, length 2-2
Measures (edge length 1)
Circumradius
Inradius
Area
Angle45°
Central density6
Number of external pieces32
Level of complexity2
Related polytopes
ArmyHed, edge length
DualCompound of two octagrams
ConjugateCompound of two octagons
Convex coreHexadecagon
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryI2(16), order 32
ConvexNo
NatureTame

The dioctagram or diog is a polygon compound composed of two octagrams. As such it has 16 edges and 16 vertices.

It is the fifth stellation of the hexadecagon.

Its quotient prismatic equivalent is the octagrammic antiprism, which is three-dimensional.

Vertex coordinates[edit | edit source]

Coordinates for a compound of two octagrams of edge length 2+2, centered at the origin, are all permutations of:

External links[edit | edit source]