Aeroteron (EntityTopic, 14)
From Hi.gher. Space
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{{Bracketope Nav|98|99|100|<[xy]zwφ><br>Wide icosidodecateron|<xyzwφ><br>Icosidodecateron|<(xy)zwφ><br>Tribicone|tera}} | {{Bracketope Nav|98|99|100|<[xy]zwφ><br>Wide icosidodecateron|<xyzwφ><br>Icosidodecateron|<(xy)zwφ><br>Tribicone|tera}} | ||
[[Category:Regular polytera]] | [[Category:Regular polytera]] | ||
Revision as of 17:10, 30 May 2010
The aeroteron, also known as the icosidodecateron, the triacontaditeron and the pentacross, is the five-dimensional cross polytope, and is the dual of the geoteron.
Geometry
Equations
- Variables:
l ⇒ length of the edges of the icosidodecateron
- All points (x, y, z, w, φ) that lie on the surteron of a pentacube will satisfy the following equation:
Unknown
- The hypervolumes of an icosidodecateron are given by:
Unknown
- The flunic cross-sections (n) of a n icosidodecateron are:
Unknown
| Cross polytopes |
| diamond • octahedron • aerochoron • aeroteron • aeropeton |
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
| 98. <[xy]zwφ> Wide icosidodecateron | 99. <xyzwφ> Icosidodecateron | 100. <(xy)zwφ> Tribicone |
| List of bracketopes | ||
