Heptagonal duotegum

Heptagonal duotegum
(OFF file)
Rank	4
Type	Noble
Space	Spherical
Notation
Bowers style acronym	Hedit
Coxeter diagram	m7o2m7o
Elements
Cells	49 tetragonal disphenoids
Faces	98 isosceles triangles
Edges	14+49
Vertices	14
Vertex figure	Heptagonal tegum
Measures (based on heptagons of edge length 1)
Edge lengths	Base (14): 1
	Lacing (49): $\frac{\sqrt2}{2\sin\frac\pi7} ≈ 1.62971$
Circumradius	$\frac{1}{2\sin\frac\pi7} ≈ 1.15238$
Inradius	$\frac{\sqrt2}{4\tan\frac\pi7} ≈ 0.73416$
Central density	1
Related polytopes
Army	Hedit
Regiment	Hedit
Dual	Heptagonal duoprism
Conjugates	Heptagrammic duotegum, great heptagrammic duotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(7)≀S2, order 392
Convex	Yes
Nature	Tame

The heptagonal duotegum or hedit, also known as the heptagonal-heptagonal duotegum, the 7 duotegum, or the 7-7 duotegum, is a noble duotegum that consists of 49 tetragonal disphenoids and 14 vertices, with 14 cells joining at each vertex. It is also the 14-6 step prism. It is the first in an infinite family of isogonal heptagonal hosohedral swirlchora and also the first in an infinite family of isochoric heptagonal dihedral swirlchora.