Glone (EntityTopic, 11)
From Hi.gher. Space
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Revision as of 07:21, 20 June 2007
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)