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
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
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
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.
* 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