Square pyramid (EntityTopic, 23)
From Hi.gher. Space
(Difference between revisions)
m |
(fix headers and equations) |
||
| Line 18: | Line 18: | ||
}}}} | }}}} | ||
| - | |||
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]]. | ||
| - | + | == Equations == | |
*Variables: | *Variables: | ||
<blockquote>''l'' ⇒ length of edges of the square pyramid</blockquote> | <blockquote>''l'' ⇒ length of edges of the square pyramid</blockquote> | ||
| Line 27: | Line 26: | ||
*The [[hypervolume]]s of a square pyramid are given by: | *The [[hypervolume]]s of a square pyramid are given by: | ||
<blockquote>total edge length = 8''l''<br> | <blockquote>total edge length = 8''l''<br> | ||
| - | surface area = | + | surface area = (1+2√3) {{DotHV}}<br> |
| - | volume = | + | volume = {{Over|√2|6}} {{DotHV|3}}</blockquote> |
*The [[planar]] [[cross-section]]s (''n'') of a square pyramid are: | *The [[planar]] [[cross-section]]s (''n'') of a square pyramid are: | ||
Revision as of 02:45, 18 November 2011
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 = (1+2√3) · l2
volume = √2∕6 · l3
- 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 |
| 8. 21 Cone | 9. [11]1 Square pyramid | 10. 111 Triangular prism |
| List of tapertopes | ||
