Triangular prism (EntityTopic, 20)
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| - | {{Shape|Triangular prism|''No image''|3|5, 9, 6|0| | + | {{Shape|Triangular prism|''No image''|3|5, 9, 6|0|t{2,3}|2 3 <nowiki>|</nowiki> 2|[[Line (object)|E]][[Triangle|T]]E|1<sup>1</sup>1 x<sup>y</sup>z|Isosceles [[triangle]]|N/A|N/A|8|N/A|N/A|pure|''Unknown''|''Unknown''|[[Triangle|3]]⋅[[Square|4]]<sup>2</sup>}} |
== Geometry == | == Geometry == | ||
A '''triangular prism''' is a special case of a [[prism]] where the base is a [[triangle]]. | A '''triangular prism''' is a special case of a [[prism]] where the base is a [[triangle]]. | ||
Revision as of 09:12, 22 September 2007
Geometry
A triangular prism is a special case of a prism where the base is a triangle.
Equations
- Variables:
l ⇒ length of edges of triangular prism
- All points (x, y, z) that lie on the surface of a triangular prism will satisfy the following equations:
Unknown
- All points (x, y, z) that lie on the edges of a triangular prism will satisfy the following equations:
Unknown
- The hypervolumes of a triangular prism are given by:
total edge length = 9l
surface area = l2(3 + 2-1√3)
volume = l34-1√3
- The planar cross-sections (n) of a triangular prism are:
Unknown
| 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 |
