# How to find the inverse position inside a triangle

If i were standing in a triangle - How do i calculate the inverse of my position? Can it be done? It's easy inside a rectangle, but I can't think of how you would do it inside of a triangle.

I'm working on a color theory in case it matters.

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Inverse of position? –  rschwieb Oct 19 '12 at 19:04
Could you elaborate with an example using the rectangle? –  Jeremy Oct 19 '12 at 19:08
well if i'm in one corner of a rectangle i know the inverse of my position is the opposite corner. but with a triangle it is different. But i suspect there must be a way to calculate an inverse. or maybe just the farthest point from any given point. –  Marshall House Oct 19 '12 at 19:14
equilateral by the way^ –  Marshall House Oct 19 '12 at 19:15
Ah, you could use some transformation, like rotating $120^\circ$ around the center.. Is it a regular triangle at all? Or you can use reflections to a midline.. what would you prefer? –  Berci Oct 19 '12 at 19:15