Alexander Mundey

Extras

Visualisations & Mathematical Art

Basins of Attraction - Rayleigh Iteration

The following images were obtained by performing Rayleigh Iteration for a (pseudo)randomly generated matrix. Points correspond to initial values and are coloured according to which eigenvalue the scheme converges to.

Hover to see matrices used for generation and *click* for larger images. A gallery of older POTD can be found here.

Some more examples of basins obtained by Rayleigh iteration.

Conway's Game of Life

The work below, titled Life, won 1st place in the 2021 CARMA Maths Art Competition.

A tribute to the late John Conway, Life was created using Conway's Game of Life automaton. The panels reference the stages of life through the metaphor of seasons. Starting in spring, representing youth, the stages of life progress from left to right, ending in the exhaustion of winter.