Pyroteron (EntityTopic, 17)
From Hi.gher. Space
(Difference between revisions)
m |
m |
||
| Line 2: | Line 2: | ||
| name=Hexateron | | name=Hexateron | ||
| dim=5 | | dim=5 | ||
| - | | elements=6, | + | | elements=6, 15, 20, 15, 6 |
| genus=0 | | genus=0 | ||
| ssc=xPPPP | | ssc=xPPPP | ||
Revision as of 21:58, 29 May 2010
The hexateron is the 5-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 | ||
