geometry – Mathaesthetics

Double-Fractal Kaleidoscope Animation Made with MathPaint

November 30, 2020 by Christopher Corbell

Here’s a one-minute animation send two shifting fractals through and angle-changing kaleidoscope Core Image filter, made with MathPaint:

Tiled Polar Variations (23 rapidly-generated images)

October 3, 2020October 3, 2020 by Christopher Corbell

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

Fractal Friday 2020.04.17

August 7, 2020April 18, 2020 by Christopher Corbell

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.

Fractal Friday 2020.03.13

August 7, 2020March 13, 2020 by Christopher Corbell

* 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

Fractal Friday 2020.02.28

February 28, 2020 by Christopher Corbell

For today’s post I’m showing off some the Apple Core Image effects capabilities built into MathPaint, with three Julia set fractals. By the way, MathPaint’s release is now close enough for crowdfunding – please see our MathPaint IndieGoGo campaign for details, and a video of the application in action! For each Julia set in this … Read moreFractal Friday 2020.02.28

Fractal Friday 2020.02.21

February 21, 2020 by Christopher Corbell

I started this week’s Fractal Friday exploration by trying out higher-iteration-cutoff Mandelbrot sets. Here are a few results with max iterations set to 1000, and higher breakout values than my usual setting of 10.0 – more detail definitely appears, especially in the boundary of the breakout value which becomes much more frond-like. The first one … Read moreFractal Friday 2020.02.21

Fractal Friday 2020.01.31

January 31, 2020 by Christopher Corbell

For this week’s post I’m showing off more of the rendering and layer-compositing options that are part of MathPaint. I’m using the same fractal settings for all of this week’s images – a Mandelbrot set with breakout value at 10.0, max iterations set to 200, and viewed at the (approximate) ranges [-1.432, -1.345] on the … Read moreFractal Friday 2020.01.31