Suppose a dodecahedron is centered at the origin and two of its twenty vertices are at (0,0,1) and (0,0,-1). Suppose there is a vertex at (a,0,b) with a, b > 0. There are two different possibilities for a and b. Give the exact values for a and b for each possibility.

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How do you get that? I havent seen anything like that before for problems like these.

hahaha.. it is from https://en.wikipedia.org/wiki/Dodecahedron
part "Catesian Coordinate" , read it.

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