Glone (EntityTopic, 11)

From Hi.gher. Space

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Geometry

A glone is a special case of a pyramid where the base is a glome.

Equations

• Assumption: Glone's base is centered at the origin.
• Variables:

r ⇒ radius of base of glone
h ⇒ height of glone

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

Unknown

• All points (x, y, z, w) that lie on the cells of a glone will satisfy the following equations:

x² + y² + z² + w² = r²
φ = 0

• The hypervolumes of a glone are given by:

Unknown

• The flunic cross-sections (n) of a glone are:

[!x,!y,!z,!φ] ⇒ Unknown
[!w] ⇒ glome of radius (r-rnh^-1)

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