Heptagonal triotegum

Heptagonal triotegum
File:Heptagonal triotegum.png (OFF file)
Rank	6
Type	Noble
Notation
Bowers style acronym	Hettit
Coxeter diagram	m7o2m7o2m7o
Elements
Peta	343 digonal trisphenoids
Tera	1029 tetragonal disphenoidal pyramids
Cells	1029 digonal disphenoids, 147 tetragonal disphenoids
Faces	294 isosceles triangles, 343 triangles
Edges	21+147
Vertices	21
Vertex figure	Heptagonal duotegmatic tegum
Measures (based on heptagons of edge length 1)
Edge lengths	Base (21): 1
	Lacing (147): ${\frac {\sqrt {2}}{2\sin {\frac {\pi }{7}}}}\approx 1.62971$
Circumradius	${\frac {1}{2\sin {\frac {\pi }{7}}}}\approx 1.15238$
Inradius	${\frac {\sqrt {3}}{6\tan {\frac {\pi }{7}}}}\approx 0.59944$
Central density	1
Related polytopes
Army	Hettit
Regiment	Hettit
Dual	Heptagonal trioprism
Conjugates	Heptagrammic triotegum, great heptagrammic triotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(7)≀S3, order 16464
Convex	Yes
Nature	Tame

The heptagonal triotegum or hettit is a noble triotegum that consists of 343 digonal trisphenoids and 21 vertices. 98 facets join at each vertex.