Gregg Helt

Healdsburg, California, USA
I find beauty in the way that relatively simple mathematical equations can give rise to complexity, and I render this complexity as images. My art in this exhibition uses techniques from my paper "Extending Mandelbox Fractals with Shape Inversion". 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. By using a more generalized type of shape inversion instead of spherical inversion, I can explore new types of Mandelboxen fractals in my art.
HyperMandala #2
60 x 60 cm
digital print on aluminum
In addition to replacing spherical inversion with shape inversion I have also experimented with replacing a minimum radius parameter used in the Mandelbox conditional inversion with a minimum shape. This piece is a 3D slice through a 4D Mandelboxen that uses a shape that is a linear blend of a 4D hypersphere (glome) and a 4D hypercube (tesseract) for the shape inversion. But it also uses a second shape, another linear blend of glome and tesseract, as the minimum shape.