Aeroteron (EntityTopic, 14)

From Hi.gher. Space

The aeroteron, also known as the icosidodecateron, the triacontaditeron and the pentacross, is the five-dimensional cross polytope, and is the dual of the geoteron.

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