A Cameo for our Silhouette Printer, Part II

This week I folded the three remaining polyhedra nets that I started last week.

A graduate student begins folding a polyhedra net.

First up is the regular tetrahedron, more commonly known as a pyramid.

The tetrahedron is made from 4 equilateral triangles. We also have a net made from 8 equilateral triangles.

This net folds into a regular octahedron with four triangles meeting to form each vertex.

Finally, we have a net composed of 12 pentagons.

These fold into a regular dodecahedron.

We have made all of the platonic solids! That is, we have constructed the only solids formed from congruent regular polygons with the same number of faces meeting at each vertex.