paint

surface-tiling curves

semi-technical description and examples of a new way to use space-filling curves
perspective hex

Eight knotted hexagons cover the surface of a cube in a pattern which is identical on each face of the solid.
branching unknot

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.
hadassah 5783

lattice knot detail in cut paper
tri unknot

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,…
tile hexahedron

A cube or rectangular solid of any size can be created from any multiple of this component. This one uses 24 components and makes a cube. It’s always a little hard to tell what you’re looking at with sculptures, so this video shows multiple angles:
scale tile listing band

Twenty-three identical scales are tied together in a continuous loop representing a non-orientable surface. A pattern of accented hexagons covers interlocking segments which twist and bend in an infinite knot. This band is smaller than others I have done so far, so it is self-supporting and can be displayed resting on a surface or suspended…
sphere of fifths

layers of glass projecting shadows
illumination 2014

circular piece with a lot of writing
proof

art as a container for art