Pyroteron (EntityTopic, 17)
From Hi.gher. Space
(Difference between revisions)
| Line 17: | Line 17: | ||
}}}} | }}}} | ||
| - | The '''hexateron''' is the | + | 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 == | == Equations == | ||
Revision as of 22:43, 29 May 2010
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 | ||
