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
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.
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
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.
* 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