Glone (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape | + | {{STS Shape |
| - | + | ||
| name=Glone | | name=Glone | ||
| dim=5 | | dim=5 | ||
| elements=2, 1, ?, ?, 1 | | elements=2, 1, ?, ?, 1 | ||
| genus=0 | | genus=0 | ||
| - | |||
| ssc=(xyzw)P | | ssc=(xyzw)P | ||
| - | | | + | | extra={{STS Rotope |
| - | | | + | | attrib=pure |
| + | | notation=4<sup>1</sup> xyzw<sup>φ</sup> | ||
| + | | index=52 | ||
| + | }}{{STS Uniform polytope | ||
| vfigure=[[Glome]], radius 1 | | vfigure=[[Glome]], radius 1 | ||
| - | }} | + | }}}} |
A '''glone''' is a special case of a [[pyramid]] where the base is a [[glome]]. | A '''glone''' is a special case of a [[pyramid]] where the base is a [[glome]]. | ||
Revision as of 14:48, 14 March 2008
A glone is a special case of a pyramid where the base is a glome.
Equations
- 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)
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
