Boy Surface

This model is an artistic exploration of Boy’s surface based on a Kagome pattern. First discovered by Werner Boy in 1901 in response to an assignment by his PhD advisor David Hilbert, Boy’s surface is a closed, nonorientable manifold that defines a model of the projective plane without singularities. The surface can be constructed by extending a Möbius strip and capping off the surface with a disk.  To construct this model, we define a Kagome pattern on a regular hexagon in the plane and lift the pattern using a conformal map and an analytical parameterization onto a Willmore critical immersion of Boy’s surface.