Triamond stretched octahedron

Triamond stretched octahedron
Rank	3
Type	Convex triamond polyhedron
Space	Spherical
Elements
Faces	4 triangles, 4 trapezoids
Edges	8+2+2+2
Vertices	4+4
Measures (minor edge length 1)
Volume	$\frac{5\sqrt{2}}{6} \approx 1.17851$
Surface area	$4\sqrt{3} \approx 6.92820$
Central density	1
Number of external pieces	8
Level of complexity	7
Abstract & topological properties
Flag count	56
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	K3, order 8
Convex	Yes
Nature	Tame
History
Discovered by	Roger Kaufman

The triamond stretched octahedron is a convex triamond polyhedron. It can be made by augmenting the stretched J1 wedge with itself, or by outer-blending two octahedra and two tetrahedra such that they all have an edge in common and then merging all coplanar faces. The latter construction can be viewed as an excerpt of the tetrahedral-octahedral honeycomb.

External links

• Wikipedia Contributors. "Elongated octahedron".
• Kaufman, Roger. "Convex Triamond Regular Polyhedra."