Triangular diprism (EntityTopic, 16)
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{{Shape|Triangular diprism|''No image''|4|7, 19, 24, 12|0|N/A|N/A|[[Line (object)|E]][[Triangle|T]][[Triangular prism|E]]E|1<sup>1</sup>11 x<sup>y</sup>zw|N/A|N/A|N/A|23|N/A|N/A|pure|''Unknown''|''Unknown''|([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup>}} | {{Shape|Triangular diprism|''No image''|4|7, 19, 24, 12|0|N/A|N/A|[[Line (object)|E]][[Triangle|T]][[Triangular prism|E]]E|1<sup>1</sup>11 x<sup>y</sup>zw|N/A|N/A|N/A|23|N/A|N/A|pure|''Unknown''|''Unknown''|([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup>}} | ||
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A '''triangular diprism''' is a special case of the [[prism]] where the base is a [[triangular prism]]. It is also a [[duoprism]] with parameters of 3 and 4. | A '''triangular diprism''' is a special case of the [[prism]] where the base is a [[triangular prism]]. It is also a [[duoprism]] with parameters of 3 and 4. | ||
- | + | == Equations == | |
*Variables: | *Variables: | ||
<blockquote>''l'' ⇒ length of each line in the triangular diprism</blockquote> | <blockquote>''l'' ⇒ length of each line in the triangular diprism</blockquote> |
Revision as of 20:20, 22 September 2007
Template:Shape A triangular diprism is a special case of the prism where the base is a triangular prism. It is also a duoprism with parameters of 3 and 4.
Equations
- Variables:
l ⇒ length of each line in the triangular diprism
- The hypervolumes of a triangular diprism are given by:
total edge length = 24l
total surface area = a2(15+2√3)
surcell volume = 2a2√3 + 3
bulk = a22-1√3
- The realmic cross-sections (n) of a triangular diprism are:
[!x,!y] ⇒ cuboid with a various size
[!z,!w] ⇒ triangular prism
Net
The net of a triangular diprism is three cubes with four triangular prisms attached to the middle cube:
No image
Projection
The parallel projection of a triangular diprism is the following:
http://fusion-global.org/share/triangular_diprism.png
Notable Tetrashapes | |
Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
Torii: | tiger • torisphere • spheritorus • torinder • ditorus |