Heptagonal duoprism
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Heptagonal duoprism  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Hedip 
Coxeter diagram  x7o x7o () 
Elements  
Cells  14 heptagonal prisms 
Faces  49 squares, 14 heptagons 
Edges  98 
Vertices  49 
Vertex figure  Tetragonal disphenoid, edge lengths 2cos(π/7) (bases) and √2 (sides) 
Measures (edge length 1)  
Circumradius  
Inradius  
Hypervolume  
Dichoral angles  Hep–7–hep: 
Hep–4–hep: 90°  
Central density  1 
Number of external pieces  14 
Level of complexity  3 
Related polytopes  
Army  Hedip 
Regiment  Hedip 
Dual  Heptagonal duotegum 
Conjugates  Heptagrammic duoprism, Great heptagrammic duoprism 
Abstract & topological properties  
Flag count  1176 
Euler characteristic  0 
Orientable  Yes 
Properties  
Symmetry  I_{2}(7)≀S_{2}, order 392 
Flag orbits  3 
Convex  Yes 
Nature  Tame 
The heptagonal duoprism or hedip, also known as the heptagonalheptagonal duoprism, the 7 duoprism or the 77 duoprism, is a noble uniform duoprism that consists of 14 heptagonal prisms, with 4 joining at each vertex. It is also the 146 gyrochoron. It is the first in an infinite family of isogonal heptagonal dihedral swirlchora and also the first in an infinite family of isochoric heptagonal hosohedral swirlchora.
Gallery[edit  edit source]

Wireframe, cell, net
Vertex coordinates[edit  edit source]
The coordinates of a heptagonal duoprism, centered at the origin and with edge length 2sin(π/7), are given by:
 ,
 ,
 ,
 ,
where j, k = 2, 4, 6.
External links[edit  edit source]
 Bowers, Jonathan. "Category A: Duoprisms".
 Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".
 Klitzing, Richard. "hedip".