Aeroteron (EntityTopic, 14)
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{{Shape|Icosidodecateron|''No image''|5|32, 80, 80, 40, 10|0|''Unknown''|N/A|[[Line (object)|E]][[Square|D]][[Octahedron|D]][[Hexadecachoron|D]]D|N/A|[[Hexadecachoron]]|N/A|[[Pentacube]]|N/A|<xyzwφ>|99}} | {{Shape|Icosidodecateron|''No image''|5|32, 80, 80, 40, 10|0|''Unknown''|N/A|[[Line (object)|E]][[Square|D]][[Octahedron|D]][[Hexadecachoron|D]]D|N/A|[[Hexadecachoron]]|N/A|[[Pentacube]]|N/A|<xyzwφ>|99}} | ||
- | + | The '''icosidodecateron''' is the 5-dimensional [[cross polytope]], and the [[dual]] of the [[pentacube]]. | |
+ | == Geometry == | ||
=== Equations === | === Equations === | ||
*Variables: | *Variables: |
Revision as of 07:30, 20 June 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
98. <[xy]zwφ> Wide icosidodecateron | 99. <xyzwφ> Icosidodecateron | 100. <(xy)zwφ>Tribicone |
List of bracketopes |