I painted a Landscape with Mathematics

Caption notes

Inigo Quilez breaks a landscape painting into functions he can adjust separately. He describes the terrain with a piecewise function, then layers noise at different scales so broad undulations and fine detail can be handled separately. He models lighting and color as separate pieces as well. In the closing explanation he brings those steps together: the formulas for shape, light and color compose into one function that takes a canvas coordinate and returns red, green and blue components.