User:Tomruen/Generalized pyramid
From Wikipedia, the free encyclopedia
A simple polygonal pyramid is a 3-polytope constructed the joining of a point with a polygon, ( ) ∨ {p}.
A digonal-digonal pyramid or disphenoid is a 3-polytope constructed the joining of a two orthogonal digons, { } ∨ { }.
A digonal-polygonal pyramid is a 4-polytope constructed the joining of a digon with an orthogonal polygon, { } ∨ {p}.
A double-polygonal pyramid is a 5-polytope the joining of 2 orthogonal polygons, {p} ∨ {q}. The regular 5-simplex can be constructed as 3 generalized pyramids: ( )∨{3,3,3}, {}∨{3,3}, and {3}∨{3}.
A triple-polygonal pyramid is a 7-polytope the joining of 3 orthogonal polygons, {p} ∨ {q} ∨ {r}. The regular 7-simplex can be constructed as 7 generalized triple-pyramid forms: ( )∨( )∨{3,3,3,3,3}, ( )∨{ }∨{3,3,3,3}, ( )∨{3,3}∨{3,3}, ( )∨{3}∨{3,3,3}, { }∨{ }∨{3,3,3}, { }∨{3}∨{3,3}, and {3}∨{3}∨{3}.