Pentasphere (EntityTopic, 15)
From Hi.gher. Space
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<blockquote>[!x,!y,!z,!w,!φ] ⇒ [[glome]] of radius (''r''cos(π''n''/2))</blockquote> | <blockquote>[!x,!y,!z,!w,!φ] ⇒ [[glome]] of radius (''r''cos(π''n''/2))</blockquote> | ||
<br clear="all"><br> | <br clear="all"><br> | ||
| - | {{ | + | {{Polytera}} |
{{Rotope Nav|46|47|48|IIII'<br>Tesseractic pyramid|(IIIII)<br>Pentasphere|III'I<br>Cubic pyramid prism}} | {{Rotope Nav|46|47|48|IIII'<br>Tesseractic pyramid|(IIIII)<br>Pentasphere|III'I<br>Cubic pyramid prism}} | ||
Revision as of 14:11, 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:
Unknown
- The realmic cross-sections (n) of a pentasphere are:
[!x,!y,!z,!w,!φ] ⇒ glome of radius (rcos(πn/2))
