The Swiss mathematician Ludwig Schlafli extended this set to higher dimensions and in the process found a 24-cell variety, which has no three-dimensional analogue and are known as polytopes.
A related set of these kinds of objects named after Kepler and Poinsot exist but differ from this set since they are not convex. The Swiss mathematician Ludwig Schlafli extended this set to higher dimensions and in the process found a 24-cell variety, which has no three-dimensional analogue and are known as polytopes. In nature, the herpes virus is shaped like the 20-sided member of this set of three-dimensional objects. Including members like the Cube and the Dodecahedron, for 10 points, name this set of five regular convex polyhedra named after a Greek philosopher.
A related set of these kinds of objects named after Kepler and Poinsot exist but differ from this set since they are not convex.
{Platonic Solids}