Aeroteron (EntityTopic, 14)

From Hi.gher. Space

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m (Icosidodecateron moved to Aeroteron: Moving all regular polytopes of dimensions 5+ to their elemental names)

Revision as of 22:34, 29 May 2010


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
Unknown
Unknown


Notable Pentashapes
Flat: pyroteronaeroterongeoteron
Curved: tritoruspentasphereglonecylspherindertesserinder


98. <[xy]zwφ>
Wide icosidodecateron
99. <xyzwφ>
Icosidodecateron
100. <(xy)zwφ>
Tribicone
List of bracketopes