Tridecagonal duotegum

Tridecagonal duotegum
Rank	4
Type	Noble
Space	Spherical
Notation
Bowers style acronym	Taddit
Coxeter diagram	m13o2m13o
Elements
Cells	169 tetragonal disphenoids
Faces	338 isosceles triangles
Edges	26+169
Vertices	26
Vertex figure	Tridecagonal tegum
Measures (based on tridecagons of edge length 1)
Edge lengths	Base (26): 1
	Lacing (169): $\frac{\sqrt2}{2\sin\frac\pi{13}} ≈ 2.95470$
Circumradius	$\frac{1}{2\sin\frac{\pi}{13}} ≈ 2.08929$
Inradius	$\frac{\sqrt2}{4\tan\frac{\pi}{13}} ≈ 1.43442$
Central density	1
Related polytopes
Army	Taddit
Regiment	Taddit
Dual	Tridecagonal duoprism
Conjugates	Small tridecagrammic duotegum, tridecagrammic duotegum, medial tridecagrammic duotegum, great tridecagrammic duotegum, grand tridecagrammic duotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(13)≀S2, order 1352
Convex	Yes
Nature	Tame

The tridecagonal duotegum or taddit, also known as the tridecagonal-tridecagonal duotegum, the 13 duotegum, or the 13-13 duotegum, is a noble duotegum that consists of 169 tetragonal disphenoids and 26 vertices, with 26 cells joining at each vertex. It is also the 26-12 step prism. It is the first in an infinite family of isogonal tridecagonal hosohedral swirlchora and also the first in an infinite family of isochoric dodecagonal dihedral swirlchora.