Cube (EntityTopic, 20)
From Hi.gher. Space
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*6× [[square pyramid]] with base side 2 and height 1 | *6× [[square pyramid]] with base side 2 and height 1 | ||
*12× irregular [[tetrahedron]] with sides 3×3<sup>2<sup>-1</sup></sup>, 2×2, 2<sup>2<sup>-1</sup></sup> | *12× irregular [[tetrahedron]] with sides 3×3<sup>2<sup>-1</sup></sup>, 2×2, 2<sup>2<sup>-1</sup></sup> | ||
| + | |||
| + | == Use == | ||
| + | Cubic cells are found in these tetrashapes on FGwiki: | ||
| + | *[[Tesseract]] (8×, 100%) | ||
| + | *[[Cubinder]] (1×, 20%) | ||
| + | *[[Cubic pyramid]] (1×, 14%) | ||
| + | |||
{{Trishapes}} | {{Trishapes}} | ||
Revision as of 11:14, 22 September 2007
Geometry
A cube is a special case of a prism where the base is a square.
Equations
- 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
Segmentation
The cube of side 2 may be segmented into:
- 6× square pyramid with base side 2 and height 1
- 12× irregular tetrahedron with sides 3×32-1, 2×2, 22-1
Use
Cubic cells are found in these tetrashapes on FGwiki:
- Tesseract (8×, 100%)
- Cubinder (1×, 20%)
- Cubic pyramid (1×, 14%)
| 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 | ||
