The five regular polyhedra are Tetrahedron, Hexahedron(cube), octahedron, dodecahedron and Icosahedron.
dodecahedron
There are only 5 regular polyhedra: those with 4, 6, 8, 12 and 20 faces. If you know of 7 polyhedra there may be a Fields Medal (the Nobel prize for mathematicians) for you!
They are regular polyhedra.
An icosahedron is in fact not a polygon at all, but a polyhedron. As a polyhedron it is regular however. The regular icosahedron is one of only five possible regular polyhedra. It has 20 faces, each of which is an equilateral triangle.
Yes. It is one of the five regular polyhedra known from ancient Greek times or earlier.See http://www.math.rutgers.edu/~erowland/polyhedra.html .
No, a cone is not a Platonic solid. The Platonic solids are the five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
Prisms, regular polyhedra.
Yes, they do.
There are a lot more than 4 types. Some simple examples: regular polyhedra, other polyhedra, star shapes, ellipoids (including spheres), toroids (like cycle inner tubes), shapes with two "holes" in them, totally irregular blobby shapes.
dodecahedron
Regular polyhedra have identical faces.