Pentasphere (EntityTopic, 15)
From Hi.gher. Space
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*The [[hypervolume]]s of a pentasphere are given by: | *The [[hypervolume]]s of a pentasphere are given by: | ||
| - | <blockquote> | + | <blockquote> |
| + | surteron bulk ⇒ 4π<sup>2</sup>r<sup>4</sup>8<sup>-1</sup> | ||
| + | pentavolume ⇒ π<sup>2</sup>r<sup>5</sup>8<sup>-1</sup> | ||
| + | </blockquote> | ||
*The [[realmic]] [[cross-section]]s (''n'') of a pentasphere are: | *The [[realmic]] [[cross-section]]s (''n'') of a pentasphere are: | ||
Revision as of 15:53, 17 June 2007
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:
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))
