• perspective hex

    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

    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

    multi-dimensional hex knots

    Two sets of interlocked hexagonal rings traverse three color fields.

  • metatronic solid face (hexahedron)

    metatronic solid face (hexahedron)

    A single shape shows four negative paths curving around the center where they would otherwise intersect.

  • penta angle swirl

    penta angle swirl

    A unicursal decagonal star intersects five chained quadrilaterals. The chain gives the impression of a five-pointed star. 41″ x 41″ x 4″ The design combines a unicursal knot with some extra chained shapes.

  • isometric hex knot

    isometric hex knot

    Outlined knot segments are inlaid with copper wire. Each segment follows a path which eventually returns to its origin.

  • tri unicursal knot

    tri unicursal knot

    A unicursal line is inlaid in copper on the face of a hollow truncated tetrahedron. The knot creates a cognitive visual illusion of three shapes versus two. The illusion that there are sort of 3 shapes but only really 1 is something I like about this one.

  • metatronic solid (hexahedron)

    metatronic solid (hexahedron)

    Four lines make a reversed knot pattern covering all faces of a hexahedron, regardless of rotation (this same pattern can tile a plane). One of my most basic rules for knot creation is that knot lines only cross one another in pairs. Any more than two lines appearing to overlap in the same place doesn’t…

  • unicursal hex knot

    unicursal hex knot

    A self-intersecting line rotates to create a hexagonal shape. The line can be followed from any point all the way around to loop back to its beginning. This was another experiment involving cut paper on charred wood. My first attempt at realizing this design was with wire in encaustic medium, shown here. Even though it…

  • lattice tile

    lattice tile

    One component of an interlocking tile extends its connectors and uses color variations to imply depth and an isometric perspective. Stained veneer is inlaid in a wood background. This piece involves a bit of experimentation with an isometric knot. The interlocking square shapes require more than one color to give the effect that they are…

  • exploded hexahedron tiled with a plane-filling curve

    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

    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:

  • unicursal spiral tercet

    unicursal spiral tercet

    Intersecting spirals become one line. The line can be traced from any point back to its origin.

  • axonometric scale listing band

    axonometric scale listing band

    the question Is there a shape, which when repeated, can create a Mobius strip? Yep, there is. Really all you have to do is chop up a strip into squares, however many pieces you want and there you go, done. That was easy. Maybe I’m not asking the right question. the better question Is there…

  • interlocking panel box

    interlocking panel box

    an attempt at making a box with identical interlocking panels

  • sphere of fifths

    sphere of fifths

    layers of glass projecting shadows

  • proof


    art as a container for art