Risto A. Paju
This short film is a medley of my inversion fractal demos from mid
to late 2019, generated in my custom OpenGL framework. Most of the
sections involve regular circle/sphere inversion, but a few other
shape inversions also make appearances. I aim to breathe new life
into classical inversion fractals by playing with the base geometry.
Infinite lattices, mixed shape inversions and moving geometries are
featured prominently here, including the eponymous "walking"
lattices. The initial sets are also varied from spheres to cubes and
octahedra, in cases where they fit the inversion geometry. For a
visually fulfilling inversion fractal, the generating shapes should
maintain kissing positions with each other. This presents a
challenge for moving geometries. One interesting solution, featured
here in both 2D and 3D variants, is a family of Steiner chains; the
chains themselves are formed by circle inversion, before being used
to generate the inversion fractals.