Grouping the Faces That Belong to the Same Vertex of a Polyhedron
The faces of a polyhedron are divided into congruent parts, and a net is formed from the resulting polyhedron. For the polyhedra in this Demonstration, there are three, four, or five polygons around each vertex. When you choose "show solution", you can switch between numbering or coloring the groups with "numbers/colors".
"Grouping the Faces That Belong to the Same Vertex of a Polyhedron"
Wolfram Demonstrations Project
Published: January 31 2012