Square pyramid (EntityTopic, 23)
From Hi.gher. Space
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== Geometry == | == Geometry == | ||
A '''square pyramid''' is a special case of a [[pyramid]] where the base is a [[square]]. | A '''square pyramid''' is a special case of a [[pyramid]] where the base is a [[square]]. | ||
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{{Polyhedra}} | {{Polyhedra}} | ||
| - | {{ | + | {{Rotope Nav|5|6|7|III<br>Cube|II'<br>Square pyramid|(III)<br>Sphere}} |
Revision as of 12:01, 17 June 2007
Geometry
A square pyramid is a special case of a pyramid where the base is a square.
Equations
- Variables:
l ⇒ length of edges of the square pyramid
- The hypervolumes of a square pyramid are given by:
total edge length = 8l
surface area = l2(1+2√3)
volume = l36-1√2
- The planar cross-sections (n) of a square pyramid are:
[!x,!y] ⇒ triangle
[!z] ⇒ square
| 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 |
