mathr

Model the whole complex plane via the Riemann sphere as an OpenGL cube map.

Sphere rotations correspond to certain elliptic Möebius transformations, which can be interpolated in a Bézier fashion.

Do the same for Misiurewicz domains as has recently been done for atom domains.

Coordinates within an atom domain surrounding a periodic nucleus in the Mandelbrot set.

Keyframe animation and the return of single precision support with OpenGL 3.3 (OpenGL 4 double precision still an option)

Nucleus finding, Misiurewicz point finding, and a bit of guesswork, combine for successful O(period) automatic Julia morphing.

Lots of structure and subtle variety.

Improving image quality by avoiding catastrophic cancellations.

Untyped lambda calculus performance and seminar

Some conclusions about perturbation techniques.

A self-published physical artifact of reaction-diffusion.

A live-coded bytebeat music session inspired by approaching autumn.

A code recital performance in untyped lambda calculus.

Computing Padé approximants isn't so hard after all.

Stop when it's hot, continue when it's cooler.

Four hours of Noise in the Shed! From 4pm till 8, part of Smash it Out.

New sorting and filtering flags, plus pattern fill for low ink printing.

Based on a SIGGRAPH 2001 paper, with blue noise generated by inverse Fourier transform.

Approximate self-similarity of baby Mandelbrot sets.

Asymptotic self-similarity about Misiurewicz points in the Mandelbrot set.

Borrowing from Mandel's "algorithm 9".

Algorave is a combination of "algorithms" and "rave", the opportunity to dance to alien rhythms and freaky visuals, all created from code before your eyes.

Endosymbiosis simulation leads to sticky boid-like flocks that behave like super-organisms.

Worst-case guess improved by a factor of 8.

Highlighting previously invisible periodic properties in the Mandelbrot set.

Finding periodic points in the Mandelbrot set to make annotated images.

Performance with 'clive', supporting Dirty Electronics, and modular sets by Eden Grey and Suso Flores + Crowley Engel II.

A feedback process involving speech synthesis and automatic transcription.

Using third-party libraries for acceleration.

Patterns similar to multi-layer reaction diffusion systems.

Audio feedback process inspired by Deep Dream.

Double precision using OpenGL 4 to avoid postpone ugly artifacts.

Networked diffusion of experimental, drone, noise, field recording, sound poetry, electronics...

Canonicalization over symmetries allows them to be counted.

Possible ways to reduce overhead?

Inflection mapping for complex quadratic polynomials.

Velocity Verlet integration beats Runge-Kutta 4/5 for energy conservation.

An experiment that failed with an energetic explosion.

Optimized histogram lookup by reducing excess precision.

Reaction-diffusion simulation.

January 12th to February 5th, Centro Conde Duque, Madrid, Spain.

Another arbitrary counter rolls over, hooray.