Cube (EntityTopic, 20)

(Difference between revisions)

Revision as of 18:16, 16 November 2007

A cube is a special case of a prism where the base is a square.

l ⇒ length of edges of the cube

total edge length = 12l
surface area = 6l²
volume = l³

[!x,!y,!z] ⇒ square with side length l

The cube of side 2 may be segmented into:

Cubic cells are found in these tetrashapes on FGwiki:

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. [z] Cuboid
List of bracketopes

@@ Line 1: / Line 1: @@
-{{Shape|Cube|http://img112.imageshack.us/img112/7352/cube7ty.png|3|6, 12, 8|0|{[[Square|4,]]3}, t{2,4} or tr{2,2}|<nowiki>3 | 2 4, 2 4 | 2, or 2 2 2 |</nowiki>|[xyz], [x<sup>3</sup>] or {G4<sup>3</sup>}|111 x,y,z|Equilateral [[triangle]], edge sqrt(2)|Cube|[[Octahedron]]|5|[xyz]|5|pure|~0.3676|1|[[Square|4]]<sup>3</sup>|SSC}}
+{{Shape
+| attrib=pure
+| name=Cube
+| image=http://img112.imageshack.us/img112/7352/cube7ty.png
+| dim=3
+| elements=6, 12, 18
+| genus=0
+| 20=SSC
+| ssc=(xyz)
+| rns=111 (xyz)
+| bracket=(xyz)
+| rot_i=5
+| bra_i=5
+| pv_circle=≈0.3676
+| pv_square=1
+| wythoff=<nowiki>3 | 2 4, 2 4 | 2, or 2 2 2 |</nowiki>
+| schlaefli={[[Square|4,]]3}, t{2,4} or tr{2,2}
+| vlayout=[[Square|4]]<sup>3</sup>
+| vfigure=Equilateral [[triangle]], edge sqrt(2)
+| bowers=Cube
+| dual=[[Octahedron]]
+}}
 A '''cube''' is a special case of a [[prism]] where the base is a [[square]].