This week’s fractals made with MathPaint are from a cubic Julia Set (z^3 + C) with a quadratic warp function applied (A*x^2 + B*x + C2). The background is a noise layer using the Random Shapes algorithm, with random line segments constrained by angle. The only differences among these pictures are the values of the C2 coefficient in the warp function. Enjoy!
This week’s post demonstrates the generative power of the Variations feature in MathPaint. Starting with a single document, the Variations window generates eight randomly-altered images that you can turn into a new document. The randomizer picks from a wide variety of possible changes, from fractal parameters to coordinate bounds to colors. Enjoy these 20 variations, … Read moreFractal Friday 2020.12.11 – MathPaint Variations
Today’s fractals are manipulated with reflection or other symmetric effects. The first two use CoreImage filters to reflect parts of the image. The third and fourth images use a color cycle with transparencies in every other color band, with the layer duplicated and rotated. The third image uses a single duplicate rotated 180 degrees, the … Read moreFractal Friday 2020.12.04 – reflections and symmetries