Glome (EntityTopic, 15)
From Hi.gher. Space
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*The [[hypervolume]]s of a glome are given by: | *The [[hypervolume]]s of a glome are given by: | ||
| - | <blockquote>total edge length = | + | <blockquote>total edge length = 0<br> |
| - | total surface area = | + | total surface area = 0<br> |
surcell volume = 2π<sup>2</sup>''r''<sup>3</sup><br> | surcell volume = 2π<sup>2</sup>''r''<sup>3</sup><br> | ||
bulk = 2<sup>-1</sup>π<sup>2</sup>''r''<sup>4</sup></blockquote> | bulk = 2<sup>-1</sup>π<sup>2</sup>''r''<sup>4</sup></blockquote> | ||
Revision as of 15:47, 17 June 2007
Geometry
Equations
- Variables:
r ⇒ radius of the glome
- All points (x, y, z, w) that lie on the surcell of a glome will satisfy the following equation:
x2 + y2 + z2 + w2 = r2
- The hypervolumes of a glome are given by:
total edge length = 0
total surface area = 0
surcell volume = 2π2r3
bulk = 2-1π2r4
- The realmic cross-sections (n) of a glome are:
[!x,!y,!z,!w] ⇒ sphere of radius (rcos(πn/2))
