Pyroteron (EntityTopic, 17)
From Hi.gher. Space
The pyroteron, also known as the hexateron, is the five-dimensional simplex. It is a special case of the pyramid where the base is a pentachoron.
Equations
- Variables:
l ⇒ length of the edges of the hexateron
- All points (x, y, z, w, φ) that lie on the surface of a hexateron will satisfy the following equation:
Unknown
- The hypervolumes of a hexateron are given by:
Unknown
- The flunic cross-sections (n) of a hexateron are:
Unknown
Simplices |
triangle • tetrahedron • pyrochoron • pyroteron • pyropeton |
Notable Pentashapes | |
Flat: | pyroteron • aeroteron • geoteron |
Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
69. [111]2 Triangular prismic dipyramid | 70. 14 Hexateron | 71. 2111 Contrianglinder |
List of tapertopes |