Blended octahedron

Blended octahedron
Rank	3
Type	Regular
Space	4D Euclidean space
Notation
Schläfli symbol	$\{3,4\}\#\{\}$ $\left\{\dfrac{6}{2,3},\dfrac{4}{1,2}:\dfrac{6}{1,3}\right\}$
Elements
Faces	8 skew triangles
Edges	24
Vertices	12
Vertex figure	Skew square
Petrie polygons	8 skew hexagons
Related polytopes
Army	Ope
Petrie dual	Blended Petrial octahedron (abstractly equivalent)
Skewing	Skew octahedron
Convex hull	Octahedral prism
Abstract & topological properties
Flag count	96
Euler characteristic	-4
Schläfli type	{6,4}
Orientable	Yes
Genus	3
Properties
Symmetry	B3×A1, order 96
Convex	No

The blended octahedron, or skew octahedron, is a regular skew polyhedron in 4D Euclidean space. It is the result of blending an octahedron with a dyad

External links

• Hartley, Michael. "{6,4}*96".