Circle Inversion Fractals

Inversion Formula for a point

Saying (x', y') lies on the ray from (a, b) through (x, y) means

(x', y') = (a, b) + t(x - a, y - b) for some t.

To find t use the distance condition

This gives t = r²/((x - a)² + (y - b)²)

Consequently, we have the formula for the inverse of a point in a circle:

Return to definition of inversion