Pentasphere (EntityTopic, 15)

From Hi.gher. Space

Revision as of 14:11, 17 June 2007

Template:Shape

Geometry

Equations

• Variables:

r ⇒ radius of the pentasphere

• All points (x, y, z, w, φ) that lie on the surteron of a pentasphere will satisfy the following equation:

x² + y² + z² + w² + φ² = r²

• The hypervolumes of a pentasphere are given by:

Unknown

• The realmic cross-sections (n) of a pentasphere are:

[!x,!y,!z,!w,!φ] ⇒ glome of radius (rcos(πn/2))

Template:Polychora Template:Rotope Nav