Aubin Arroyo and Bianca Violet

UNAM / IMAGINARY
We enjoy visualizing geometric beauty combined with mathematical content.
Fractal Icosahedron
60 x 60 cm
Textile print
2016
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.
Detail of Fractal Icosahedron
60 x 60 cm
Textile print
2016