Aeroteron (EntityTopic, 14)
From Hi.gher. Space
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| - | The '''icosidodecateron''' is the 5-dimensional [[cross polytope]], and the [[dual]] of the [[pentacube]]. | + | The '''icosidodecateron''' is the 5-dimensional [[cross polytope]], and the [[dual]] of the [[pentacube]]. It is also known as the '''triacontaditeron''' or the '''pentacross'''. |
== Geometry == | == Geometry == | ||
Revision as of 00:10, 23 November 2009
The icosidodecateron is the 5-dimensional cross polytope, and the dual of the pentacube. It is also known as the triacontaditeron or the pentacross.
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 | ||
