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Fractal Friday 2020.11.26: free mobile wallpapers!

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.

Mobile Wallpapers: Warped Julia Sets

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.

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Tiled Polar Variations (23 rapidly-generated images)

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!

generative art image

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New website, MathPaint beta, free wallpapers!

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.

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Bring the noise! MathPaint gets more algorithms, plus templates

The forthcoming MathPaint beta now has a fairly complete noise-rendering feature set. There are several algorithmic noise-generation modes – Perlin, Billow, Ridged, and Voronoi – as well as MathPaint’s own random-shape drawing mode. In addition to the feature, I’m starting to build the collection of templates that will ship with the app as starting points … Read moreBring the noise! MathPaint gets more algorithms, plus templates