Trisquare

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