mobzman22thous3
Zoom into the "Mandelbrot set" for the map zn+1=Mi(zn)2, where Mi(z) are three Möbius transforms cyclically applied after each other. The transforms are -1/z, (-0.43-i)/((3-.1i)z - i), (wz-i)/(iz+.3+.1*i) where w is used as the control parameter varying across the images. z starts from zero, and the location after 300 iterations derermines the color (angle determines hue, magnitude value). The colored blobs represent areas where zero is attracted to the same limit cycle.
mobzman22thous3
Zoom into the "Mandelbrot set" for the map zn+1=Mi(zn)2, where Mi(z) are three Möbius transforms cyclically applied after each other. The transforms are -1/z, (-0.43-i)/((3-.1i)z - i), (wz-i)/(iz+.3+.1*i) where w is used as the control parameter varying across the images. z starts from zero, and the location after 300 iterations derermines the color (angle determines hue, magnitude value). The colored blobs represent areas where zero is attracted to the same limit cycle.