Glome (EntityTopic, 15)
From Hi.gher. Space
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| - | {{Shape|Glome|''No image''|4|1, 0, 0, 0|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]]L|4 (x,y,z,w)|N/A|N/A|N/A}} | + | {{Shape|Glome|''No image''|4|1, 0, 0, 0|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]]L|4 (x,y,z,w)|N/A|N/A|N/A|16}} |
== Geometry == | == Geometry == | ||
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<br clear="all"><br> | <br clear="all"><br> | ||
{{Polychora}} | {{Polychora}} | ||
| - | {{ | + | {{Rotope Nav|15|16|17|III'<br>Cubic pyramid|(IIII)<br>Glome|II'I<br>Square pyramid prism}} |
Revision as of 12:23, 17 June 2007
Geometry
Equations
- Variables:
r ⇒ radius of the glome
- All points (x, y, z, w) that lie on the surcell of a glome will satisfy the following equation:
x2 + y2 + z2 + w2 = r2
- The hypervolumes of a glome are given by:
total edge length = 32l
total surface area = Unknown
surcell volume = 2π2r3
bulk = 2-1π2r4
- The realmic cross-sections (n) of a glome are:
[!x,!y,!z,!w] ⇒ sphere of radius (rcos(πn/2))
