Spherical triangles
This interactive animation shows the connection between a regular polyhedron (as, for example, the icosahedron), its dual (the dodecahedron in our example), and the tessellation of the sphere in equal triangles (in the example, 120 triangles of angles π/2, π/3 and π/5).
© matematita
animazione di Gian Marco Todesco
The image belongs to the sections...:
2d geometry (Animations)
Spherical geometry (Other geometries)
Further information:
http://www.toonz.com/personal/todesco