juliaset

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.

Read moreFractal Friday 2020.11.26: free mobile wallpapers!

Fractal Friday 2020.10.23 – three warped Julia Sets

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

Fractal Friday 2020.10.16 – Julia Set variations with 5+ colors

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 2020.10.09 – Julia-set contour variations

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

Fractal Friday 2020.03.13

* 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

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

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 2020.02.14

Here are some extended Julia Set (z^7) floral fractals for Fractal Friday, Valentine’s Day edition – share them with your sweetheart! This week’s images are all zooms of the same set (unchanged function parameters and color mappings). All images made with MathPaint, the flagship application for generative graphics on Mac OS X currently in development … Read moreFractal Friday 2020.02.14

Fractal Friday 2020.02.07

This week I’m sharing the results of a cool new feature in MathPaint: fractals warped by real-valued functions. The application now supports defining a custom real-valued function that is applied during each iterative evaluation to the real part of the complex number ‘z’, before z is squared. The possible effects are endless – from slight … Read moreFractal Friday 2020.02.07