You'll like draw a perfect square or rectangle by drawing congruent angles to form the box, and then congruent triangles (equilateral triangles) form the pitched roof. An easy way to remember ...

gamma )/\mathrm {Stab}(\gamma ) \to \mathcal {MF}(\gamma )/\mathrm {Stab}(\gamma )$ is a homeomorphism onto its image. On each of the triangles of this triangulation, consider a 1-complex as in Figure ...