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
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
The Mathaesthetics flagship app will support a number of modes of mathematical image creation. I spent most of yesterday working on and improving the scalar field renderer. In a scalar field, a function f(x, y) produces a value for each point. This scalar value is then mapped to a color gradient. I’m exploring both different … Read moreScalar fields for gradients and other graphic patterns