# Trisquare

Trisquare
Rank2
TypeRegular
SpaceSpherical
Notation
Bowers style acronymTrisquare
Schläfli symbol{12/3}
Elements
Components3 squares
Edges12
Vertices12
Measures (edge length 1)
Circumradius${\displaystyle \frac{\sqrt2}{2} ≈ 0.70711}$
Inradius${\displaystyle \frac12 = 0.5}$
Area3
Angle90°
Central density3
Number of pieces24
Level of complexity2
Related polytopes
ArmyDog
DualTrisquare
ConjugateTrisquare
Convex coreDodecagon
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryI2(12), order 24
ConvexNo
NatureTame

The trisquare is a polygon compound composed of 3 squares. As such it has 12 edges and 12 vertices.

It is the second stellation of the dodecagon.

Its quotient prismatic equivalent is the 12-4 step prism, which is four-dimensional.

## Vertex coordinates

Coordinates for the vertices of a trisquare of edge length 1 centered at the origin are given by:

• ${\displaystyle \left(±\frac{\sqrt2}{2},\,0\right),}$
• ${\displaystyle \left(0,\,±\frac{\sqrt2}{2}\right),}$
• ${\displaystyle \left(±\frac{\sqrt2}{4},\,±\frac{\sqrt6}{4}\right),}$
• ${\displaystyle \left(±\frac{\sqrt6}{4}, \,±\frac{\sqrt2}{4}\right).}$