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|Cells||7 bilaterally-symmetric edge-truncated tetrahedra|
|Faces||7 isosceles triangles, 7 kites, 7 mirror-symmetric pentagons|
|Vertex figure||7+7 phyllic disphenoids|
|Measures (edge length 1)|
|Dual||7-2 step prism|
|Abstract & topological properties|
|Symmetry||S2(I2(7)-2), order 14|
The 7-2 gyrochoron, also known as mobius 7, is a convex isochoric polychoron and member of the gyrochoron family with 7 bilaterally-symmetric edge-truncated tetrahedra as cells. It is the simplest gyrochoron after the pentachoron and triangular duoprism, both members of existing families, as well as the only isochoric polychoron with 7 cells. It can also be constructed as the 7-3 gyrochoron. It is also the triangular funk prism.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric pentagons, 2 kites, and 2 isosceles triangles for faces, and shares a face with every other cell.
Gallery[edit | edit source]
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Edge-truncated tetrahedron (7): 7-2 step prism
- Mirror-symmetric pentagon (7): 7-2 step prism
- Kite (7): 7-2 step prism
- Isosceles triangle (7): 7-2 step prism
- Edge (7): 7-2 step prism
- Edge (14): 14-2 step prism
- Vertex (7): 7-2 step prism
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".