Square dipyramid (EntityTopic, 16)

From Hi.gher. Space

Revision as of 23:43, 12 March 2011

A square dipyramid is a special case of the pyramid where the base is a square pyramid. It is also a special case of the dipyramid where the base is a square.

Equations

• Variables:

l ⇒ length of each line in the square dipyramid

• The hypervolumes of a square dipyramid are given by:

total edge length = 13l
total surface area = l²(1 + 6√3)
surcell volume = l²3^-1√3 + l³3^-1√2
bulk = Unknown

• The realmic cross-sections (n) of a square dipyramid are:

[!x,!y] ⇒ triangular prism
[!z,!w] ⇒ square pyramid

Net

The net of a square dipyramid is two square pyramids attached at their bases with four tetrahedra each attached to another face of one of the square based pyramids.

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Projection

The parallel projection of a square dipyramid is the following:

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