Are the platonic solids fractal?
I have devoted a section on my website to the Platonic solids even though they are not fractal. These are the five regular polyhedra: the cube, octahedron, dodecahedron, icosahedron, and tetrahedron. Since pictures of the geometric fractal Sierpinski’s tetrahedron are seen all over my website, and they are made of tetrahedra, it seemed important to address the tetrahedron and its roots. Each Platonic solid has its own fractal structure. This is not true of any other polyhedra. The two famous ones are the Sierpinski tetrahedron for the tetrahedron, and the Menger Sponge for the cube. The three others are distinguished by their respective names: the Octahedron fractal, Icosahedron fractal, and Dodecahedron fractal.
