User:Tomruen/3-3-3 prism
From Wikipedia, the free encyclopedia
In the geometry of 6 dimensions, the 3-3-3 prism or triangular triaprism is a four-dimensional convex uniform polytope. It can be constructed as the Cartesian product of three triangles and is the simplest of an infinite family of six-dimensional polytopes constructed as Cartesian products of three polygons.
Orthogonal projections in regular enneagon | |
Type | p-q-r prism |
Schläfli symbol | {3}×{3}×{3} = {3}3 |
Coxeter diagram | or |
5-faces | 9 {3}×{3}×{ } |
4-faces | 9 {3}×{3} 27 {3}×{4} |
Cells | 54 {3}×{ } 27 {4}×{ } |
Faces | 81 {4} 27 {3} |
Edges | 81 |
Vertices | 27 |
Vertex figure | 5-simplex |
Symmetry | [3[3,2,3,2,3]], order 64 =1296 |
Dual | 3-3-3 pyramid |
Properties | convex, vertex-uniform, facet-transitive |