Glone (EntityTopic, 11)
From Hi.gher. Space
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+ | <[#ontology [kind topic] [cats 5D Tapertope Curved]]> | ||
{{STS Shape | {{STS Shape | ||
| name=Glone | | name=Glone | ||
| dim=5 | | dim=5 | ||
- | | elements=2, 1, | + | | elements=2, 1, 0, 0, 1 |
| genus=0 | | genus=0 | ||
| ssc=(xyzw)P | | ssc=(xyzw)P | ||
| ssc2=&T4 | | ssc2=&T4 | ||
- | | extra={{STS | + | | extra={{STS Tapertope |
- | | | + | | order=1, 1 |
- | | notation=4<sup>1 | + | | notation=4<sup>1</sup> |
- | | index= | + | | index=37 |
}}}} | }}}} | ||
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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]]. | ||
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{{Pentashapes}} | {{Pentashapes}} | ||
- | {{ | + | {{Tapertope Nav|36|37|38|11111<br>Penteract|4<sup>1</sup><br>Glone|[31]<sup>1</sup><br>Spherindrone|tera}} |
Latest revision as of 22:58, 11 February 2014
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 |
36. 11111 Penteract | 37. 41 Glone | 38. [31]1 Spherindrone |
List of tapertopes |