Triangular diprism (EntityTopic, 16)

(Difference between revisions)

Revision as of 15:37, 14 March 2008

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
+{{STS Shape
 | attrib=pure
 | name=Triangular diprism
@@ Line 5: / Line 5: @@
 | elements=7, 19, 24, 12
 | genus=0
-| 20=SSC
 | ssc=[G3G4]
-| rns=1<sup>1</sup>11 x<sup>y</sup>zw
+| extra={{STS Rotope
-| rot_i=23
+| attrib=pure
+| notation=1<sup>1</sup>11 x<sup>y</sup>zw
+| index=23
+}}{{STS Uniform polytope
 | vlayout=([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup>
-}}
+}}}}
 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.