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}}
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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}}
== Geometry ==
== Geometry ==
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 18:27, 18 June 2007

Template:Shape

Geometry

A glone is a special case of a pyramid where the base is a glome.

Equations

  • Assumption: Glone's base is centered at the origin.
  • 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
Unknown
[!x,!y,!z,!φ] ⇒ Unknown
[!w] ⇒ glome of radius (r-rnh-1)

Template:Polytera Template:Rotope Nav