knot theories

This work was on display during March, 2021 at The Emporium Gallery in downtown Knoxville.

Knots are continuous lines twisted in such a way to give the illusion of lines overlapping in the same plane. Using a formalized system of knot creation, the artwork here represents knots in multiple “in-between” dimensions in three categories, each based on a partial dimension:

– unicursal, self-contained lines which appear to overlap on two-dimensional surfaces (unicursal knots)
– knots on tiled surface planes of regular polyhedra (metatronic solids)
– elements of non-orientable surface segments (listing bands)

Each piece is based around a simple line or shape translated or rotated to create more complexity. Light and shadow are an important element, so artworks appear different in their environment depending on the time of day. The shapes and symbols they create are purely geometry, with no hidden meaning beyond the beauty of intricacy.