Aeroteron (EntityTopic, 14)
From Hi.gher. Space
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| - | {{Shape|Icosidodecateron|''No image''|5|32, 80, 80, 40, 10|0| | + | {{Shape|Icosidodecateron|''No image''|5|32, 80, 80, 40, 10|0|{[[Triangle|3]],[[Tetrahedron|3]],[[Pentachoron|3]],4}|N/A|[[Line (object)|E]][[Diamond|D]][[Octahedron|D]][[Hexadecachoron|D]]D|N/A|[[Hexadecachoron]]|N/A|[[Pentacube]]|N/A|<xyzwφ>|99|none|''Unknown''|''Unknown''|(([[Triangle|3]]<sup>[[Tetrahedron|3]]</sup>)<sup>[[Pentachoron|4]]</sup>)<sup>8</sup>}} |
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]]. | ||
Revision as of 08:29, 22 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 | ||
