Small rhombated demitesseract
(Redirected from Runcic tesseract)
Small rhombated demitesseract | |
---|---|
Rank | 4 |
Type | Semi-uniform |
Notation | |
Coxeter diagram | x3o3o *b3y |
Elements | |
Cells | 8+8 tetrahedra, 8 rhombitetratetrahedra |
Faces | 32+32 triangles, 24 rectangles |
Edges | 48+48 |
Vertices | 32 |
Vertex figure | Triangular frustum |
Measures (edge lengths a, b) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Ratet–3–tet: 120° |
Ratet–4–ratet: 90° | |
Central density | 1 |
Related polytopes | |
Dual | Triangular-tegmatic triacontadichoron |
Conjugate | Small rhombated demitesseract |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | D4, order 192 |
Convex | Yes |
Nature | Tame |
The small rhombated demitesseract or runcic tesseract is a convex semi-uniform polychoron that is a variant of the rectified tesseract with demitesseractic symmetry. As such it can be represented by x3o3o *b3y, and has 16 tetrahedra (of two types, sizes x and y) and 8 rhombitetrahedra (type x3o3y) as cells, with two edge lengths.
Vertex coordinates[edit | edit source]
A small rhombated demitesseract with edge lengths a and b has vertices given by all permutations and even sign changes of:
Alternative coordinates in a different orientation can be given by all even sign changes and permutations of: