Triangular bipyramid (no ontology)

From Hi.gher. Space

{{STS Shape | dim=3 | elements=6 triangles, 9 digons, 5 points | sym=D_3h | genus=0 | ssc=<G3x> | ssc2=G3 v M1 | extra= |- |colspan="2" style="text-align:center; background-color:#ccccff"| [ Polytope ] |- |style="text-align:left; background-color:#ddddff"| Symbol: |style="text-align:center; background-color:#eeeeff"| N/A |- |style="text-align:left; background-color:#ccccff"| Facet layout: |style="text-align:center; background-color:#ddddff"| Unknown |- |style="text-align:left; background-color:#ddddff"| Petrie order: |style="text-align:center; background-color:#eeeeff"| Unknown |- |style="text-align:left; background-color:#ccccff"| Alternation: |style="text-align:center; background-color:#ddddff"| N/A |- |style="text-align:left; background-color:#ddddff"| Dual: |style="text-align:center; background-color:#eeeeff"| Triangular prism |- |style="text-align:left; background-color:#ccccff"| Bowers acronym: |style="text-align:center; background-color:#ddddff"| Tridpy

The triangular bipyramid is the tegum product of a triangle with a digon. If the faces are equilateral triangles, it is one of the 92 Johnson solids, J₁₂. This form can be produced by joing two tetrahedra at the base.

Equations

• Variables:

l ⇒ length of edges of triangular bipyramid

• The hypervolumes of a triangular prism are given by:

total edge length = 9l
surface area = ^3√3∕₂ · l²
volume = ^√2∕₆ · l³

• The planar cross-sections (n) of a triangular prism are:

[!x,!y] ⇒ Unknown [!z] ⇒ triangle

Incidence matrix