Insideout DragonInspired by Roger BagulaWritten by Paul Bourke July 2003, updated April 2022
This fractal is calculated in a similar way to the Mandelbrot, that is, a series is calculated and coloured according to how quickly it escapes to infinity. The main difference is that the series in this case is somewhat more complicated. For a coordinate (x_{0},y_{0}) one forms a complex number z_{0} = 1 / (x_{0} + i y_{0}), this becomes the first term of the series. The series is given by
Change denominator from (1 + r^{3})^{2} to (1 + r + r^{7})
Change denominator from (1 + r^{3})^{2} to (1 + r^{3})
Change denominator from (1 + r^{3})^{2} to (1 + r)
Change denominator from (1 + r^{3})^{2} to (1 + r^{2})^{2}
Change denominator from (1 + r^{3})^{2} to (1 + r + r^{2})
