Icosahedron

One of the five platonic solids, and dual of the dodecahedron. This model was made from a single connected net, printed on one sheet of A4 paper. Nets can be generated and printed using any of Small Stella, Great Stella, or Stella4D, and is even available in their free demo versions.

Above is an icosahedron with images of fractals on each face (seen from above, below, and in original net form). Stella allows you to map images onto faces like this in virtual 3D. The images then appear on nets when you print them out, ready to be cut out, folded up, and glued together as seen here.

The fractal images were created using another piece of software I wrote. It is not yet available for sale, but let me know if you are interested and I'll notify you if it ever becomes available.

Here's how an icosahedron might look in Stella. You can see more screenshots here.

	The icosahedron has quite a few stellations. Here is one example.
	This is the final stellation of the icosahedron, meaning that if the facial planes are extended they will never again close off another volume of space.
	Other stellations include the compound of 5 octahedra shown here, and also compounds of 5 tetrahedra and 10 tetrahedra.
	Perhaps the best known stellation is the great icosahedron, one of the four nonconvex regular polyhedra known as the Kepler-Poinsot solids. In this case, it is not just a stellation of the icosahedron, but also a faceting of it, meaning it shares the same vertices, as you should be able to see.
	The small stellated dodecahedron is also a faceting of the icosahedron.
	In fact three of the four Kepler-Poinsot solids are facetings of the icosahedron. Here is the third, the great dodecahedron.

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