Skew square

Skew square
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{4\}\#\{\}$ $\{4\}\#\{2\}$ $\left\{\dfrac{4}{1,2}\right\}$
Elements
Edges	4
Vertices	4
Related polytopes
Army	Tedow
Dual	Flat square
Convex hull	Tetragonal disphenoid
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	(B2×A1)/2, order 8
Convex	No
Dimension vector	(2,1)

The skew square is a regular skew polygon in 3D Euclidean space. It is the result of blending a square with a digon. It is the simplest skew polygon.

Its edges are the lateral edges of a tetragonal disphenoid. This includes the regular tetrahedron, which has 3 skew squares as Petrie polygons.