Square pyramid (EntityTopic, 23)
From Hi.gher. Space
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- | {{Shape|Square pyramid|''No image''|3|5, 8, 5|0|N/A|N/A|[[Line (object)|E]][[Square|E]]T|11<sup>1</sup> xy<sup>z</sup>|N/A|N/A| | + | {{Shape|Square pyramid|''No image''|3|5, 8, 5|0|N/A|N/A|[[Line (object)|E]][[Square|E]]T|11<sup>1</sup> xy<sup>z</sup>|N/A|N/A|''Self-dual''|6|N/A|N/A|pure}} |
== 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]]. |
Revision as of 10:40, 22 September 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 |