Triangular diprism (EntityTopic, 16)

From Hi.gher. Space

Revision as of 16:53, 16 June 2007

Template:Shape

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.

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

Template:Polychora Template:Rotopes