Gregg Helt

Statement

I find beauty in the way that relatively simple mathematical equations can give rise to complexity, and I render this complexity as images. In this exhibition I use techniques from my paper "Mandelshapes: Thinking Outside the Mandelbox". The Mandelbox is a class of escape-time fractals that use a conditional combination of reflection, spherical inversion, scaling, and translation to transform a point under iteration in n-dimensional Euclidean space. I have introduced a second type of reflection called radial reflection, which alters the overall shape of the fractal from a cube to a variety of other shapes.

Artworks

This piece is a 3D Mandelshape that also uses a rounded octahedral supershape for radial reflection, similar to Mandelshape #2, but with a number of other parameters modified to alter the resulting shape.

This piece is a 3D Mandelshape that uses a rounded octahedral supershape for radial reflection.