5 ms·
Just make a hole in the center of one side of the polyhedra. Then stretch out the hole, flattening the polyhedra in the process. Eventually you get a planar m
by Vvector 14y ago
Just make a hole in the center of one side of the polyhedra. Then stretch out the hole, flattening the polyhedra in the process. Eventually you get a planar map, while retaining the same topology as the original polyhedra.
- dietrichepp 14y agoOr, in math-speak, the polyhedron is homeomorphic to the sphere, and a stereographic projection of the sphere will preserve the four-color property while projecting the sphere to a plane. I first thought, "That's exactly what I said," and then I realized that "homeomorphic" isn't exactly a household word.