Tridecagonal duoprism

Tridecagonal duoprism
File:13-13-dip.png
Rank	4
Type	Uniform
Notation
Bowers style acronym	Taddip
Coxeter diagram	x13o x13o ()
Elements
Cells	26 tridecagonal prisms
Faces	169 squares, 26 tridecagons
Edges	338
Vertices	169
Vertex figure	Tetragonal disphenoid, edge lengths 2cos(π/13) (bases) and √2 (sides)
Measures (edge length 1)
Circumradius	${\frac {\sqrt {2}}{2\sin {\frac {\pi }{13}}}}\approx 2.95470$
Inradius	${\frac {1}{2\tan {\frac {\pi }{13}}}}\approx 2.02858$
Hypervolume	${\frac {169}{16\tan ^{2}{\frac {\pi }{13}}}}\approx 173.86449^{\circ }$
Dichoral angles	13p–13–13p: ${\frac {11\pi }{13}}\approx 147.27273^{\circ }$
	13p–4–13p: 90°
Central density	1
Related polytopes
Army	Taddip
Regiment	Taddip
Dual	Tridecagonal duotegum
Conjugates	Small tridecagrammic duoprism, tridecagrammic duoprism, medial tridecagrammic duoprism, great tridecagrammic duoprism, grand tridecagrammic duoprism
Abstract & topological properties
Flag count	4056
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(13)≀S2, order 1352
Convex	Yes
Nature	Tame

The tridecagonal duoprism or taddip, also known as the tridecagonal-tridecagonal duoprism, the 13 duoprism or the 13-13 duoprism, is a noble uniform duoprism that consists of 26 tridecagonal prisms and 169 vertices. It is also the 26-12 gyrochoron. It is the first in an infinite family of isogonal tridecagonal dihedral swirlchora and also the first in an infinite family of isochoric tridecagonal hosohedral swirlchora.

External links

• Bowers, Jonathan. "Category A: Duoprisms".