Glome (EntityTopic, 15)
From Hi.gher. Space
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{{Polychora}} | {{Polychora}} | ||
| - | {{Rotope Nav|15|16|17|III'<br>Cubic pyramid|(IIII)<br>Glome|II'I<br>Square pyramidal prism}} | + | {{Rotope Nav|15|16|17|III'<br>Cubic pyramid|(IIII)<br>Glome|II'I<br>Square pyramidal prism|chora}} |
| - | {{Bracketope Nav|39|40|41|(<xy>zw)<br>Narrow dicrind|(xyzw)<br>Glome|[<xy><zw>]<br>Small tesseract}} | + | {{Bracketope Nav|39|40|41|(<xy>zw)<br>Narrow dicrind|(xyzw)<br>Glome|[<xy><zw>]<br>Small tesseract|chora}} |
Revision as of 07:16, 20 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 = 0
total surface area = 0
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))
Template:Polychora
Template:Rotope Nav
| 39. (<xy>zw) Narrow dicrind | 40. (xyzw) Glome | 41. [<xy><zw>] Small tesseract |
| List of bracketopes | ||
