Pentasphere (EntityTopic, 15)

From Hi.gher. Space

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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:

total edge length = 0
total surface area = 0
total surcell volume = 0
surteron bulk = 4π²r⁴8^-1
pentavolume = π²r⁵8^-1

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

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

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