Ditetragram

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Ditetragram
Rank2
TypeSemi-uniform
Notation
Bowers style acronymDitag
Coxeter diagramx4/3y
Elements
Edges4+4
Vertices8
Vertex figureDyad
Measures (edge lengths a , b )
Circumradius
Angle45°
Related polytopes
ArmyDiteg
DualConcave tetrambus
Abstract & topological properties
Flag count16
OrientableYes
Properties
SymmetryB2, order 8
ConvexNo
NatureTame

The ditetragram is a semi-uniform polygon that has 8 sides of two different edge lengths. The angles of a ditetragram are always 45 degrees. It is a faceting of the ditetragon.

A ditetragram generally has the Coxeter diagram x4/3y, where the ratio between the two edge classes is less than . This includes the case of the regular octagram if the edge lengths are equal. If the ratio is greater than this value, another semi-uniform polygon called the tetrapod results. If the edge ratio is exactly , the polygon degenerates into something that looks like a square with its diagonals drawn in, except that each diagonal edge is double-covered.

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