Aubin Arroyo and Bianca Violet

We took twelve perfectly reflective spheres and arranged them in an icosahedron. There is a sphere at each vertex. While neighboring spheres share a point of tangency, others are disjoint. The icosahedron is set inside a bigger, non-reflective sphere which has a colorful 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.