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|Bowers style acronym||Hedip|
|Coxeter diagram||x7o x7o ()|
|Cells||14 heptagonal prisms|
|Faces||49 squares, 14 heptagons|
|Vertex figure||Tetragonal disphenoid, edge lengths 2cos(π/7) (bases) and √2 (sides)|
|Measures (edge length 1)|
|Number of external pieces||14|
|Level of complexity||3|
|Conjugates||Heptagrammic duoprism, Great heptagrammic duoprism|
|Abstract & topological properties|
|Symmetry||I2(7)≀S2, order 392|
The heptagonal duoprism or hedip, also known as the heptagonal-heptagonal duoprism, the 7 duoprism or the 7-7 duoprism, is a noble uniform duoprism that consists of 14 heptagonal prisms, with 4 joining at each vertex. It is also the 14-6 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".
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