Triangular diprism (EntityTopic, 16)

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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.

Equations

  • Variables:
l ⇒ length of each line in the triangular diprism
total edge length = 24l
total surface area = (15 + 2√3) · l2
surcell volume = (3 + 2√3) · l3
bulk = √32 · l4
[!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:

(image)

Incidence matrix

Dual: (dual of triangular diprism)

#TXIDVaEaEb3a4a4bC1aC2aTypeName
0 Va = point ;
1 Ea 2 = digon ; blue
2 Eb 2 = digon ; black
3 3a 330 = triangle ; joins 2 triangular prisms
4 4a 404 = square ; joins 2 cubes
5 4b 422 = square ; joins triangular prism to cube
6 C1a 663203 = base of prism: triangular prism ;
7 C2a 848024 = cube ;
8 H4.1a 121212431243 = triangular diprism ;

Usage as facets


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus


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