mathr

Exploring the fertility of errors and questioning our inherited worldview.

A fast way to pick a random unoccupied pixel in an image.

Fading between levels of detail to avoid huge scale differences and sharp edges.

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.

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.

Improving image quality by avoiding catastrophic cancellations.

A self-published physical artifact of reaction-diffusion.

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

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

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

Patterns similar to multi-layer reaction diffusion systems.

Five diagrams on the number 70.

Image from 2013 LAC paper, Lyapunov Space of Coupled FM Oscillators.

Five-bit Gray code rotary encoder.

A familiar picture emerges.

The non-trivial partitioning of a square into 3 similar rectangles.

Physics-based ray-tracing in curved space.

Porting rrv to OpenGL 3 for a 30x speed boost.

Square cross-section lemniscate of Bernoulli, with a twist.

Adding noise improves image quality during quantization.

Combining saved flake images using command line tools.

Reimplementing computer art from the 1970s, part 4.

Multicoloured spray paint stencil.

Reimplementing computer art from the 1970s, part 3.

Reimplementing computer art from the 1970s, part 2.

Reimplementing computer art from the 1970s.

Your daily dose.

Interleaved dither patterns.

Applying a technique used for fractal rendering.

Paper presentation at Linux Audio Conference 2013.

Generalizing a tiling into hyperbolic variants.

Looping without energy loss.

An approximation for relatively narrow widths.

triangular vertex symmetry using p²+q²+pq colours

reverse-engineering a tesselation

Mandelbrot Set explorer using OpenGL 4

New website, new beginnings.

26 images of the Mandelbrot Set

Following distance estimates.

Lots to think about.

6D cube in OpenGL/GLSL.

Tone mapping for high dynamic range imaging.

Dynamic range compression.

Data is data is data.