Glone (EntityTopic, 11)
From Hi.gher. Space
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{{Shape|Glone|''No image''|5|2, 1, ?, ?, 1|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]][[Glome|L]]T|4<sup>1</sup> xyzw<sup>φ</sup>|[[Glome]], radius 1|N/A|N/A|52|N/A|N/A|pure}} | {{Shape|Glone|''No image''|5|2, 1, ?, ?, 1|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]][[Glome|L]]T|4<sup>1</sup> xyzw<sup>φ</sup>|[[Glome]], radius 1|N/A|N/A|52|N/A|N/A|pure}} | ||
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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]]. | ||
| - | + | == Equations == | |
*Variables: | *Variables: | ||
<blockquote>''r'' ⇒ radius of base of glone<br> | <blockquote>''r'' ⇒ radius of base of glone<br> | ||
Revision as of 20:25, 22 September 2007
Template:Shape 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 |
