Rhombicosidodecahedron

 

rhombicosidodecahedron

This polyhedron can be made in 3 colors. Use one color for the triangle faces, a second color for the square faces and the third color for the pentagonal faces.

As you build your polyhedron, each pentagon will be surrounded by 5 squares. Each triangle will be surrounded by 3 squares. Each square will be surrounded by alternating squares and triangles.

To see the full-sized template click on this image:   rhombicosidodecahedron-template

Choose one pentagonal face as the center of the base of this polyhedron. Attach 5 square faces to the edges of that central pentagon. Connect those 5 attached squares by adding triangular pieces between them. This completes a bottom bowl of the polyhedron.

The next ring of the polyhedron uses just 5 more pentagons and 5 more squares. Continue your construction as mentioned above. Each pentagon will be surrounded by 5 squares. Each triangle will be surrounded by 3 squares. Each square will be surrounded by alternating squares and triangles.

To complete this model you will need a total of 12 pentagons, 30 squares, and 20 triangles.