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Combining Geometry and Art

Combining Geometry and Art Dihedral Symmetry…Canonical Factor…Borromean Rings… Gyroid…Cubelets…Schwartz’ D Surface… sound like you are studying for a geometry class?

What about a self-proclaimed MathArtist describing some of her work? She says of herself, “I'm an artist exploring the region between art and mathematics… My work is about life in three dimensions: working with symmetry and balance, getting from a zero point to infinity, and always finding beauty in geometry.” Her name: Bathsheba Grossman.

She says that she begins by contemplating a shape. A blue storage shed in front of her home is her design space where you can find shelves of “toys”. Various shapes – geometrical as well as animals, human figures, small sculptures - made of various mediums – wood, plastic, metal, paper - that help give her inspiration. She also has pictures of various things all over the walls – horses, dragons, plants, abstracts – again for inspiration. Sometimes the shape of her creation is based on very basic geometrical shapes, sometimes it is more complex – like the rhombic dodecahedron


 Rhombic Dodecahedron


or the snub cube


Anub Cube Art



and sometimes it is a work in progress – where she can visualize part of the shape – and it is not until she begins working with it in clay or with a 3D modeler program that it becomes an actuality.

Most of her designs are drawn rather than computed. Her work is very intrinsic and even if she creates a good physical model, the work must become a virtual object because scanning is not available to finalize the work in 3D printing!


                  3D Printing                      

                               Mini Quintrino                                                     

Direct-metal printing (3D printing) is done by a machine that takes a CAD file specifying a 3D object and builds the object, physically, as metal. Grossman has taken this technology and use of it to a different level. Grossman is part scientist, part mathematician, part programmer, part sculptor creating geometrical forms not only in metal but using subsurface laser damage in glass.

You will find a few of her pieces at Geometrica’s office, where we use them for our own creative inspiration in designing domes and space frames.

Schwartz’ D Surface

Schwartz’ D Surface  



Calabi-Yau Manifold String Theory, math or art? 


To see more about Bathsheba and her creations visit .