Tetrasquare

Tetrasquare
(OFF file)
Rank	2
Type	Regular
Space	Spherical
Notation
Bowers style acronym	Tesq
Schläfli symbol	{16/4}
Elements
Components	4 squares
Edges	16
Vertices	16
Vertex figure	Dyad, length √2
Measures (edge length 1)
Circumradius	$\frac{\sqrt2}{2} ≈ 0.70711$
Inradius	$\frac12 = 0.5$
Area	4
Angle	90°
Central density	4
Number of external pieces	32
Level of complexity	2
Related polytopes
Army	Hed, edge length $\sqrt{\frac{2-\sqrt{2+\sqrt2}}{2}}$
Dual	Tetrasquare
Conjugate	Tetrasquare
Convex core	Hexadecagon
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(16), order 32
Convex	No
Nature	Tame

The tetrasquare, or tesq, is a polygon compound composed of 4 squares. As such it has 16 edges and 16 vertices.

It is the third stellation of the hexadecagon.

Its quotient prismatic equivalent is the square tetrahedroorthowedge, which is five-dimensional.

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".