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If I were standing in a equilateral 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.

For instance 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. I suspect there must be a way to calculate an inverse, or maybe just the farthest point from any given point.

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

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    Inverse of position?2012-10-19
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    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?2012-10-19
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