This fractal set made with MathPaint starts with a cubic Mandelbrot layer, warped by a quadratic function and blended with an underlying Perlin noise layer:
The MathPaint Variations window was used to generate randomized variations from this beginning, changing colors as well as parameters and blending:
Read moreFractal Friday 2021.05.21 – Cubic Mandelbrot Variations
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
This Fractal Friday is the first since the official release of MathPaint 1.0 on the Mac App Store! The fractals here were all made with MathPaint – check out the MathPaint app page for all its amazing features, screenshots, and a free demo.
This week’s fractals are all quadratic (z^2) Julia sets with a real-valued warp function applied. They’re provided in three sizes. If you’re on an iPhone, just click the thumbnail of the size you want to view the full image, which you can tap and hold to save to your Photos. Open in Photos and click the actions icon to set it as a Wallpaper for your phone.
MathPaint is a new generative graphics app for Mac. With MathPaint you can create amazing art using and mixing different models, from geometry to function plots to fractals to noise. You don’t need to be a programmer or mathematician; it’s built using familiar graphic-design software metaphors (layers, effects, settings), with awesome online help for every control and option.
We’re thrilled to announce a free public beta of MathPaint 1.0 starting in the coming week! Sign up on the MathPaint mailing list and we’ll send you a message when the beta is available:
Meanwhile, here are a couple of 4k fractal wallpapers I made with MathPaint while testing this week…
Read moreMathPaint public beta drops this week! + some fractal wallpapers
Made with MathPaint, here are three Julia Set images warped by an additional real-valued function and with some custom color mapping. The third image, using assigned color bands instead of gradients, also includes some Perlin noise mixed in. Enjoy! Sign up to the MathPaint News and Tips list for information on the upcoming MathPaint release and … Read moreFractal Friday 2020.10.23 – three warped Julia Sets
Images made with MathPaint, using the Variations feature to generate different possibilities. I made an improvement this week – the variations random-selection code will now also vary the assigned value of colors (as well as altering colors themselves, and fractal parameters like C and breakout value).
Enjoy! You can sign up on the MathPaint mailing list to get Fractal Friday and MathPaint art and announcements in your in-box.
Read moreFractal Friday 2020.10.16 – Julia Set variations with 5+ colors
Fractal Friday is back! With the public beta of MathPaint very close, I’ll be sharing more art created in testing. This week’s supply comes from the Variations feature (along the same line as the recent Tiled Polar Variations post). In this case we start with a Julia Set fractal drawn in edge-contour mode, and generate several variations, keeping the ones we like. Enjoy!
Read moreFractal Friday 2020.10.09 – Julia-set contour variations
Here are a few new fractals created with pre-release MathPaint. These are all either standard Julia or Mandelbrot z^2 sets, with a warp function applied to the real part and a custom color mapping. Enjoy! All images made by Christopher Corbell, ©2020 Mathaesthetics.
* UPDATE * we have 2 weeks to go on our IndieGogo campaign for MathPaint! Please support the release of this great new generative-art application. You can also pre-order it for 10% off! https://igg.me/at/mathpaint While zooms are the most common type of fractal animations, I really enjoy the results of animating by gradually shifting a … Read moreFractal Friday 2020.03.13