Aeroteron (EntityTopic, 14)
From Hi.gher. Space
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{{Pentashapes}} | {{Pentashapes}} | ||
| - | {{Bracketope Nav|98|99|100|<[xy]zwφ><br>Wide icosidodecateron|<xyzwφ><br>Icosidodecateron|<(xy)zwφ>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 20:36, 17 September 2007
The icosidodecateron is the 5-dimensional cross polytope, and the dual of the pentacube.
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
| 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 | ||
