Pyroteron (EntityTopic, 17)
From Hi.gher. Space
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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}} | + | {{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}} |
Revision as of 07:21, 20 June 2007
The hexateron is the 5-dimensional simplex.
Geometry
A hexateron 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