Cube (EntityTopic, 20)
From Hi.gher. Space
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| - | {{Bracketope Nav|4|5|6|(xy)<br>Circle|[xyz]<br>Cube|[<xy>z]<br>Cuboid}} | + | {{Bracketope Nav|4|5|6|(xy)<br>Circle|[xyz]<br>Cube|[<xy>z]<br>Cuboid|hedra}} |
Revision as of 07:14, 20 June 2007
Geometry
A cube is a special case of a prism where the base is a square.
Equations
- Assumption: Cube is centered at the origin.
- Variables:
l ⇒ length of edges of the cube
- The hypervolumes of a cube are given by:
total edge length = 12l
surface area = 6l2
volume = l3
- The planar cross-sections (n) of a cube are:
[!x,!y,!z] ⇒ square with side length l
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
| 4. (xy) Circle | 5. [xyz] Cube | 6. [ Cuboid |
| List of bracketopes | ||
