The fractal renderer used to draw this week’s graphics has a new feature – rendering in ‘edge’ mode. Rather than filling the value regions with different colors, edge-mode detects the change in output values and draws a line at the boundary between them. Here’s the classic Mandelbrot set rendered this way: Here’s a simple black-and-white … Read moreFractal Friday 2019.12.20
It’s Friday already! This week I’ve been jamming on this application UI development, including a brand-new feature to support fractals: the color mapping control: For fractal rendering the integers below each color correspond to the output value (escape iterations) to which the color is assigned. The linear-gradient mapping mode means that colors between these values … Read moreFractal Friday 2019.12.13
The Mathaesthetics software has made some cool advances this week, and we’re celebrating with our first Fractal Friday video! These images depict a Julia set of degree 3 (function z^3 + C), with the C value 0.4+0.7i, 50 iterations maximum, and the escape value slowly changing with each image. The first image has escape value … Read moreFractal Friday 2019.12.06
It’s Fractal Friday! As always you can click the images below to see them full-size. This week’s fractal images highlight two new features added to the application I’m developing: color cycles, and Nth-degree fractal expressions. A color cycle is an an array of colors used to render the fractal pixels. The renderer cycles through them … Read moreFractal Friday! 2019.11.29
This week’s images are mostly from the same region, x-axis: (-1.308, 0.567), y-axis (-0.542, 1.351). I started with the Douady rabbit – setting C to -0.123 + 0.745i, with max iterations for these renderings set to 32 and the escape radius set to 1000.0. Each of the following is produced by an adjustment to C … Read moreFractal Friday! 2019.11.22
This week I’m beginning a new series of postings, to celebrate the implementation of a fractal renderer in our flagship product – Fractal Friday! Click on each image to see it full size. These are window captures at screen resolution; our final product will also support higher resolutions and larger sizes. This first collection was … Read moreFractal Friday! 2019.11.15