The conference brings together an interdisciplinary group of mathematicians, scientists, artists, educators, musicians, writers, computer scientists, sculptors, dancers, weavers, model builders and many others in an atmosphere of mutual exchange and inspiration.
Fractal Polyhedra
gallery
Fractal Polyhedra
Take a few perfectly reflective spheres and arranged them at the vertices of a polyhedron.
While neighboring spheres share a point of tangency, others are disjoint. Each polyhedron is set inside a bigger, non-reflective sphere which has a pattern. The pattern is reflected in the smaller spheres over and over again. One reflection symbolizes an inversion on a sphere. All infinitely many inversions generate the limit set of the action of a Kleinian group, which is a fractal. By using reflections instead of inversions, this fractal is approximated.
Fractal Icosahedron
Here twelve perfectly reflective spheres are arranged in an icosahedron. For the pattern of the outer, non-reflective sphere the Roman Candy image is used, which you can find in the SURFER gallery.
Licence CC BY-NC-ND-4.0