![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Tetrahedral_prism.png/640px-Tetrahedral_prism.png&w=640&q=50)
Tetrahedral prism
Uniform 4-polytope / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about tetrahedral hyperprism?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In geometry, a tetrahedral prism is a convex uniform 4-polytope. This 4-polytope has 6 polyhedral cells: 2 tetrahedra connected by 4 triangular prisms. It has 14 faces: 8 triangular and 6 square. It has 16 edges and 8 vertices.
Tetrahedral prism | |
---|---|
![]() Schlegel diagram | |
Type | Prismatic uniform 4-polytope |
Uniform index | 48 |
Schläfli symbol | t{2,3,3} = {}×{3,3} = h{4,3}×{} s{2,4}×{} sr{2,2}×{} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Cells | 2 (3.3.3)![]() 4 (3.4.4) ![]() |
Faces | 8 {3} 6 {4} |
Edges | 16 |
Vertices | 8 |
Vertex configuration | ![]() Equilateral-triangular pyramid |
Dual | Tetrahedral bipyramid |
Symmetry group | [3,3,2], order 48 [4,2+,2], order 16 [(2,2)+,2], order 8 |
Properties | convex |
![]() Net |
It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.