Triamond triangular cupola section

Triamond triangular cupola section
Rank	3
Type	Convex triamond polyhedron
Elements
Faces	2 trapezoids, 2 squares, 2 triangles
Edges	4+4+2+1
Vertices	4+2+1
Measures (minor edge length 1)
Volume	${\frac {\sqrt {2}}{2}}\approx 0.70711$
Surface area	$2+2{\sqrt {3}}\approx 5.46410$
Central density	1
Number of external pieces	6
Level of complexity	11
Abstract & topological properties
Flag count	44
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Convex	Yes
Nature	Tame
History
Discovered by	Roger Kaufman

The triamond triangular cupola section is a convex triamond polyhedron. It can be formed by blending two square pyramids and two tetrahedra such that they all have an edge in common and combining coplanar faces. It can also be formed by diminishing the triangular cupola by a triamond antiprism 2,2, or by diminishing the triamond stretched octahedron by two square pyramids.

Gallery

• 
  Disection of the triangular cupola into two convex triamond polyhedra. Red (left) is the triamond triangular cupola section and blue (right) is the triamond antiprism 2,2.
• 
  Triamond triangular cupola section as a section of the triangular cupola. Orange indicates the triamond triangular cupola section, transparency indicates the remainder of the triangular cupola (Triamond antiprism 2,2).

External links

• Kaufman, Roger. "Convex Triamond Regular Polyhedra."