Triangular diprism (EntityTopic, 16)

(Difference between revisions)

Revision as of 09:16, 22 September 2007

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.

l ⇒ length of each line in the triangular diprism

total edge length = 24l
total surface area = a²(15+2√3)
surcell volume = 2a²√3 + 3
bulk = a²2^-1√3

[!x,!y] ⇒ cuboid with a various size
[!z,!w] ⇒ triangular prism

The net of a triangular diprism is three cubes with four triangular prisms attached to the middle cube:

No image

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

@@ Line 1: / Line 1: @@
-{{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}}
+{{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>}}
 == Geometry ==
-A '''triangular diprism''' is a special case of the [[tetraprism]] 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 ===