Triangular diprism (EntityTopic, 16)

(Difference between revisions)

Revision as of 21:05, 24 November 2009

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://teamikaria.com/share/?caption=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

20. 21¹ Cyltrianglinder	21. 111¹ Triangular diprism	22. 2² Dicone
List of tapertopes

@@ Line 7: / Line 7: @@
 | ssc=[G3G4]
 | ssc2=++G3
-| extra={{STS Rotope
+| extra={{STS Tapertope
-| attrib=pure
+| order=3, 1
-| notation=1<sup>1</sup>11 x<sup>y</sup>zw
+| notation=111<sup>1</sup>
-| index=23
+| index=21
 }}{{STS Uniform polytope
 | vlayout=([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup>
@@ Line 42: / Line 42: @@
 {{Tetrashapes}}
-{{Rotope Nav|22|23|24|((III)I)<br>Toraspherinder|I'II<br>Triangular diprism|I'I'<br>Triangular prismidal pyramid|chora}}
+{{Tapertope Nav|20|21|22|21<sup>1</sup><br>Cyltrianglinder|111<sup>1</sup><br>Triangular diprism|2<sup>2</sup><br>Dicone|chora}}
 [[Category:Uniform prismachora]]
 [[Category:Diprismachora]]