Square pyramid (EntityTopic, 23)
From Hi.gher. Space
(Difference between revisions)
m |
m |
||
Line 5: | Line 5: | ||
| ssc=G4P | | ssc=G4P | ||
| ssc2=&G4 | | ssc2=&G4 | ||
- | | extra={{STS Rotope | + | | extra={{STS Matrix| |
+ | <i>2 2</i> | ||
+ | 4 0 | ||
+ | 1 1}}{{STS Rotope | ||
| attrib=pure | | attrib=pure | ||
| notation=11<sup>1</sup> xy<sup>z</sup> | | notation=11<sup>1</sup> xy<sup>z</sup> |
Revision as of 00:50, 8 November 2008
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 |