User talk:Mrmuffll

Color The Corners

Starting with 4 colors, say red, white, blue and green, how many ways can the corners (vertices) of a square be colored? Note a vertex is dimensionless so that it can't be "colored." It is more proper to say we are assigning colors to the vertices. Assume that reflections and rotations are allowed. (This means that if you examine a square from front or back it represents the same coloring and if you turn it, it represents the same coloring). Also assume that no vertex is left uncolored. Figure it out, Have fun!