everything you need is here honestly, to help you, i'd have to read this myself.... soz:(
What are Platonic Solids?
These are the platonic solids. They're just some pretty shapes, kind of like 3D versions of regular polygons: http://www.technologyuk.net/mathematics/geometry/images/geometry_0185.gif They obey Euler's characteristic formula: V-E+F=2 This is actually much simpler than it might appear! V means Vertices (corners) E means edges (where faces meet) and F means number of faces. So if you look at a cube, you can see that it has 6 faces (F=6), 8 corners (V=8) and 12 edges (E=12). So we plug these in: 8-12+6 and when you add these all up, you get 2! Use this example to help you understand what these words all mean by looking at a cube, and try it out on the other shapes. You'll know you did it right when you get 2. :D
Ah. That's is in general,not specific right?? ?
Yeah this is in general for shapes that aren't perfect like these.
Um. How do I get the properties of each of the platonic solid?>_<
for planar graphs(graphs whose edges don't cross) I think.