Graffitized knots

This is a series of experiments with "graffitization" applied to the structure of a mathematical knot. In many of these examples, the source geometry is a “Billiard knot”, a knot given by the closed trajectory of a ball that bounces within the edges of a rectangle. 

The initial knot structure is then distorted with geometrical operations (e.g. quantizing orientations combined with random distortions) and then stroked, resulting in patterns that resemble graffiti "wild style". To generate overlapping strokes I use a method I developed, which is described in paper:

Berio, Asente & Echevarria et al. (2019) Sketching and Layering Graffiti Primitives, Eurographics Association. [link]