Pyroteron (EntityTopic, 17)
From Hi.gher. Space
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<blockquote>''Unknown''</blockquote> | <blockquote>''Unknown''</blockquote> | ||
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{{Rotope Nav|88|89|90|<nowiki>I'''I</nowiki><br>Pentachoric prism|<nowiki>I''''</nowiki><br>Hexateron|<nowiki>(I'''I)</nowiki><br>Pentachoric torus|tera}} | {{Rotope Nav|88|89|90|<nowiki>I'''I</nowiki><br>Pentachoric prism|<nowiki>I''''</nowiki><br>Hexateron|<nowiki>(I'''I)</nowiki><br>Pentachoric torus|tera}} | ||
[[Category:Regular polytera]] | [[Category:Regular polytera]] | ||
Revision as of 16:23, 21 November 2009
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 |
