Robert Fathauer

Artist, Author, Product Designer, Small Business Owner
Tessellations Company
Phoenix, Arizona
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.
Swirling Trefoil
13 x 24 x 18 cm
This is a band in the form of a trefoil knot, which has three crossings. There are many different ways to shape a trefoil knot. The form chosen here is intended to create a sense of dynamism.
Three Half Twists
11 x 28 x 26 cm
This is a Möbius band with three half twists. Möbius bands with one half twist are more common, but any odd number of half twists leads to a one-sided object.