Triangular prism (EntityTopic, 20)
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<blockquote>''l'' ⇒ length of edges of triangular prism</blockquote> | <blockquote>''l'' ⇒ length of edges of triangular prism</blockquote> | ||
| - | *All points (''x'', ''y'', ''z'') that lie on the surface of a triangular prism | + | *All points (''x'', ''y'', ''z'') that lie on the surface of a triangular prism will satisfy the following equations: |
<blockquote>''Unknown''</blockquote> | <blockquote>''Unknown''</blockquote> | ||
| - | *All points (''x'', ''y'', ''z'') that lie on the edges of a triangular prism | + | *All points (''x'', ''y'', ''z'') that lie on the edges of a triangular prism will satisfy the following equations: |
<blockquote>''Unknown''</blockquote> | <blockquote>''Unknown''</blockquote> | ||
Revision as of 23:46, 18 June 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 |
