Explores techniques to refine ambiguous substitution systems for generating aperiodic tilings, enabling the creation of deterministic finite-state transducers.
Explains modifications to the Martinez-Rueda polygon clipping algorithm for boolean operations, addressing ordering issues in complex scenarios.
A technical follow-up article exploring advanced finite-state transducer algorithms for generating and analyzing complex aperiodic tilings like Penrose, hat, and Spectre patterns.
A technical article on using finite-state transducers to generate and manipulate aperiodic tilings like Penrose and Spectre tilings, improving on previous recursive algorithms.
A technical article explaining a combinatorial coordinate system for generating the aperiodic Spectre tiling, a recent mathematical discovery.
Explores two algorithms for generating random patches of aperiodic tilings, like Penrose and hat tilings, for use in computer games.
Explains efficient vectorized methods for sampling points from spline curves and 2-sphere splines using linear algebra and caching techniques.
