Halved square duocomb

Halved square duocomb
Rank	3
Space	4-dimensional Euclidean space
Elements
Faces	8 skew squares
Edges	16
Vertices	8
Vertex figure	Square, edge length 1
Petrie polygons	8 skew squares
Related polytopes
Petrie dual	Halved square duocomb
Halving	Digonal duocomb
Abstract & topological properties
Flag count	64
Euler characteristic	0
Schläfli type	{4,4}
Orientable	Yes
Genus	1

The halved square duocomb is a regular skew polyhedron in 4-dimensional Euclidean space. It can be obtained by halving the square duocomb.

Vertex coordinates

Vertex coordinates for a halved square duocomb of unit edge length centered at the origin can be given as all even sign changes of

• $\left(\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4}\right)$.

External links

• Hartley, Michael. "{4,4}*64".