2018 Joint Mathematics Meetings
Robert Fathauer
Artists
Robert Fathauer
Owner
Tessellations
Apache Junction, Arizona, USA
Statement
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.
Artworks

Flatworm Form No. 3
5" x 11" x 9"
Ceramics
2017
This negative-curvature surface is an inspired by the shapes polyclad flatworms take on in open water. It can also be thought of as a piece of a hyperbolic plane embedded in Euclidean 3-space.

Five-fold Ringworm
8" x 14" x 14"
Ceramics
2017
This negative-curvature surface is based on forms seen in polyclad flatworms. These sea creatures are not ring shaped, but this sculpture is an imagining of a five-fold ring of such curved surfaces. This object also has two-fold symmetry axes orthogonal to the five-fold axis and mirror planes that contain the five-fold axis. The piece belongs to the spherical symmetry group 2*5.