Triangular prism (EntityTopic, 20)

From Hi.gher. Space

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The triangular prism is the prism whose base is a triangle. If the sides are squares, it is a uniform polyhedron.
The triangular prism is the prism whose base is a triangle. If the sides are squares, it is a uniform polyhedron.
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=Coordinates==
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The coordinates of a triangular prism of side 2 are:
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<blockquote>(±1, -√3/3, ±1)<br>(0, 2√3/3, ±1)</blockquote>
== Equations ==
== Equations ==
*Variables:
*Variables:

Revision as of 14:44, 26 March 2017

The triangular prism is the prism whose base is a triangle. If the sides are squares, it is a uniform polyhedron.

Coordinates=

The coordinates of a triangular prism of side 2 are:

(±1, -√3/3, ±1)
(0, 2√3/3, ±1)

Equations

  • Variables:
l ⇒ length of edges of triangular prism
total edge length = 9l
surface area = (3 + √32) · l2
volume = √34 · l3
[!x,!y] ⇒ square [!z] ⇒ triangle

Incidence matrix

Dual: triangular bipyramid

#TXIDVaEaEb4a3aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 4a 422 = square ;
4 3a 303 = base of prism: triangle ;
5 C1a 63632 = triangular prism ;

Usage as facets


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind


9. [11]1
Square pyramid
10. 111
Triangular prism
11. 12
Tetrahedron
List of tapertopes