Triangular duoprismatic pyramid

Triangular duoprismatic pyramid
Rank	5
Type	Segmentotope
Notation
Bowers style acronym	Triddippy
Coxeter diagram	ox3oo ox3oo&#x
Tapertopic notation	[1111]1
Elements
Tera	1 triangular duoprism 6 triangular prismatic pyramids
Cells	6 triangular prisms 6 tetrahedra 9 square pyramids
Faces	6+18 triangles 9 squares
Edges	9+18
Vertices	1+9
Vertex figures	1 triangular duoprism
	6 tetragonal disphenoidal pyramids
Measures (edge length 1)
Circumradius	${\frac {\sqrt {3}}{2}}\approx 0.86603$
Hypervolume	${\frac {\sqrt {3}}{80}}\approx 0.021651$
Height	Point atop triddip: ${\frac {\sqrt {3}}{3}}\approx 0.57735$
Central density	1
Related polytopes
Dual	Triangular duotegmatic pyramid
Conjugate	None
Abstract & topological properties
Flag count	1296
Euler characteristic	2
Orientable	Yes
Properties
Symmetry	A2≀S2×I, order 72
Convex	Yes
Nature	Tame

The triangular duoprismatic pyramid is a CRF segmentoteron. It has 6 triangular prismatic pyramids and 1 triangular duoprism as cells. It is a pyramid based on the triangular duoprism.

The triangular duoprismatic pyramid is the vertex pyramid of the dodecateron. Removing two opposite triangular duoprismatic pyramids from the dodecateron results in the triangular duoantifastegiaprism.

Representations

The triangular duoprismatic pyramid has the following lace diagram representations:

• ox3oo ox3oo&#x (point atop triddip)
• oox ooo3oxx&#x (point-triangle-trip lace simplex)
• oooo3oxxx&#x (point-triangle-triangle-triangle lace simplex)

External links

• Klitzing, Richard. "triddippy".