Simple polytope
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A d-dimensional simple polytope is a polytope whose vertices are adjacent to exactly d edges. They are topologically dual to simplicial polytopes. The family of polytopes which are both simple and simplicial are simplices or two-dimensional polygons.
[edit] Examples
In three dimensions:
- prisms
- simple Platonic solids:
- simple Archimedean solids:
- In general, any truncated polyhedron is simple, including examples:
In four dimensions:
- 120-cell
- Tesseract (also 8-cell or 4-cube)
- simple [uniform polychoron]]s:
- In general, any truncated polychoron is simple.
In higher dimensions:
[edit] See also
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