Ditetragon

Ditetragon
Rank	2
Type	Semi-uniform
Space	Spherical
Notation
Bowers style acronym	Diteg
Coxeter diagram	x4y
Elements
Edges	4+4
Vertices	8
Vertex figure	Dyad
Measures (edge lengths a, b)
Circumradius	$\sqrt{\frac{a^2+b^2+ab\sqrt2}{2}}$
Area	$a^2+b^2+2ab\sqrt2$
Angle	135°
Central density	1
Related polytopes
Army	Diteg
Dual	Tetrambus
Conjugate	Ditetragram
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	B2, order 8
Convex	Yes
Nature	Tame

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:

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

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".

• Klitzing, Richard. "Polygons"