|The nonlinearity of circle inversion causes some problems with the IFS approaches to generating limit sets.|
|We illustrate Mandelbrot's method with an example, and begin by constructing some cirlces that belong to the limit set.|
|Next we simplify the problem by inverting in another circle.|
we show that the limit set
|Similar arguments show the
|So the limit set is inside S1, and outside S2, S3, S4, and S5. We can say more.|
|Continuing this idea quickly generates the limit set, to any desired accuracy.|
Return to circle inversion fractals.