Robert Fathauer

Artist, Author, Product Designer, Small Business Owner
Tessellations Company
Apache Junction, Arizona, USA

Mathematical structure is evident throughout the natural world. My work explores the mathematics of symmetry, fractals, tessellations and more, blending it with plant and animal forms as well as inorganic forms found in nature. This synthesis allows me to create innovative prints and sculptures that derive their beauty from a combination of complexity and underlying order.

Hyperbolic Helicoid
Hyperbolic Helicoid
24 x 30 x 30 cm
Ceramics
2021

This hand-built ceramic sculpture is based on a mathematical object known as a hyperbolic helicoid, which is an infinite helicoid (a shape similar to an auger bit or a spiral staircase) depicted with hyperbolic geometry. Thanks to Roice Nelson for providing a 3D graphic to serve as a model.