semi-technical description and examples of a new way to use space-filling curves
Eight knotted hexagons cover the surface of a cube in a pattern which is identical on each face of the solid.
Two unknots are arranged vertically above a charred wood base. The shape of the metal makes self-supporting convex and concave arrangements possible.
multi-dimensional hex knots
Two sets of interlocked hexagonal rings traverse three color fields.
unicursal polygonal tercet
Stippled paint creates a unicursal knot design. The aggregation of dots suggests straight lines not present in the artwork. This single component is connected end to end with two rotated copies to create the knot. Doubling the individual segments of the knot design does not disrupt the over / under pattern that knot diagrams have.
lattice knot detail in cut paper
A line broken by an inner negative space rotates to form an unknot, a continuous line with no overlapping. The component used as the basis for this piece, as well as the resulting structure, can be unraveled to form a loop. Tri Unknot will be on display in the McGhee Tyson Airport (TYS) starting June…
layered multi polygon knot
A group of three similar polygons rotate to form a knot. Multiple glass layers show colors, the knot itself, and a faint outline.
knot tiling triangle-faced polyhedra
A single shape tiles the faces of all three equilateral triangle-faced regular polyhedra with knots.
exploded hexahedron tiled with a plane-filling curve
A single line bisects a hollow cube into two mirrored sections, revealing a second, smaller solid cube inside which supports the three pieces when suspended from the top corner. The bisecting line (curve) is plane-filling, and each face of the exploded hexahedron is identical. A single line bisects a hollow cube into two mirrored sections,…
sphere of fifths
layers of glass projecting shadows
circular piece with a lot of writing
art as a container for art