# Ditetragon

Ditetragon
Rank2
TypeSemi-uniform
SpaceSpherical
Notation
Bowers style acronymDiteg
Coxeter diagramx4y
Elements
Edges4+4
Vertices8
Measures (edge lengths a, b)
Circumradius${\displaystyle \sqrt{\frac{a^2+b^2+ab\sqrt2}{2}}}$
Area${\displaystyle a^2+b^2+2ab\sqrt2}$
Angle135°
Central density1
Related polytopes
ArmyDiteg
DualTetrambus
ConjugateDitetragram
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryB2, order 8
ConvexYes
NatureTame

The ditetragon is a convex semi-uniform octagon. As such it has 8 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a ditetragon measure 135°. If the side lengths are equal, the result is the regular octagon.

## Vertex coordinates

A ditetragon with Coxeter diagram a4b has vertex coordinates given by all permutations of:

• ${\displaystyle \left(±\frac{a+b\sqrt2}{2},\,±\frac{a}{2}\right).}$