Heptagonal duotegum

From Polytope Wiki
Jump to navigation Jump to search
Heptagonal duotegum
Rank4
TypeNoble
Notation
Bowers style acronymHedit
Coxeter diagramm7o2m7o ()
Elements
Cells49 tetragonal disphenoids
Faces98 isosceles triangles
Edges14+49
Vertices14
Vertex figureHeptagonal tegum
Measures (based on heptagons of edge length 1)
Edge lengthsBase (14): 1
 Lacing (49):
Circumradius
Inradius
Central density1
Related polytopes
ArmyHedit
RegimentHedit
DualHeptagonal duoprism
ConjugatesHeptagrammic duotegum, great heptagrammic duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7)≀S2, order 392
ConvexYes
NatureTame

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.