Fractal Friday 2020.01.03

The noise renderer has gotten more sophisticated in the past week, and it’s being put to work in this week’s set of fractals. Each image includes a generated noise-texture, with various approaches to transparency in the fractal permitting the texture to show through.

The Julia set image above has a semi-transparent purple in the color mapping which permits a fabric-like texture to show through giving the rendering the feeling of a woven fabric or paper fiber texture.

This bold, edge-drawn mandelbrot set view is a bit more stark against its chiseled, black-and-gray noise surface:

An N-cubed mandlebrot section gets a bit subtler treatment with a horizontal grain texture, which shows through most clearly in the dark ‘maxed-out’ section:

A bit crazier are the curve-and-line-segment generated scribbles showing through this Julia set segment’s color cycle, with transparency in each color band:

While it’s only the beginning of January, this 5th-degree Julia set floral image looks forward to spring, especially with the tangled green bezier-noise suggesting foliage, showing through the transparent lower-iteration values around the floral center:

All of these images were created with the Mathaesthetics flagship software, a desktop app for Mac OS X which has now been in development for two months. The first beta will be released early this year, with a full release coming before summer. If you like these images and are interested in creating your own with this software, or just seeing more as the software evolves, make sure to follow Mathaesthetics on Twitter, Instagram, Facebook – and we’re also now on Pinterest!