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
Here’s a one-minute animation send two shifting fractals through and angle-changing kaleidoscope Core Image filter, made with MathPaint:
Read moreDouble-Fractal Kaleidoscope Animation Made with MathPaint
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
Tonight I tested out both the new MathPaint Image Builder Wizard and the Variations window to quickly generate these images. The underlying model is a polar graph with a zoom-repeater applied and a CoreImage twelvefold-tiling feature. The first image was really easy to create playing with the Image Builder – I’m very excited to get it out with the next beta! The variations are created instantly, 8 at a time, in the Variations window – I found about 1 or 2 of each auto-generated batch aesthetically appealing. (I am expecting some day to hook up some machine learning to this feature so you can teach MathPaint about your aesthetic preferences – but for now it’s just cleverly randomized).
Here are all 23 generated images – enjoy!
Read moreTiled Polar Variations (23 rapidly-generated images)
Generating graphics from mathematical models can seem daunting, but almost everyone loves the cool symmetry, fractals, and unexpected shapes that math can create.
MathPaint, the flagship generative graphics app from Mathaesthetics, will make it simple to create amazing mathematical images with an innovative Image Builder Wizard interface. With a step-by-step creative activity using a subset of the full MathPaint options anyone can generate amazing images on their first launch of MathPaint, with virtually no learning curve.The Image Builder Wizard lets you get familiar with all of the major areas of MathPaint – plots, geometry, fractals, noise, image effects – so that transitioning to the more powerful document interface will be easier.
Read moreMathPaint 1.0 will feature Image Builder Wizard for step-by-step generative graphics
Today I’m happy to announce the launch of a new Mathaesthetics website. We’ve migrated away from the original blogger website and one result is that these pages are now much better for viewing on a mobile device.
The new website also has a better back-end architecture to support software services and downloads, and to grow as a hub for our virtual community.
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.