• 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. It’s a simple knot that makes a single […]

  • 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. Put another way, when the 2 black pieces are fit together […]

  • 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:

  • tri spiral unicursal knot

    tri spiral unicursal knot

    The design is an experiment in using spirals in combination with radial symmetry to produce a unicursal knot. Usually I base knot designs like this off of circles and polygons, so this was a new challenge. I originally used this design for some cut paper stationery, shown here. Wanting to take things up a notch, […]

  • 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

    The circle of fifths is a music theory model several hundred years old which describes the relationships between diatonic scales. It can be seen as an illustration of infinite chord progressions. Sphere of Fifths uses the idea of infinite knots to represent musical cycles, and uses pentagonal knot designs of varying complexity to bring the […]

  • proof

      background Students who graduated around the millennium from Carson-Newman College [sic] were invited to submit recent works for a show to coincide with the university’s 2013 homecoming.┬áThe purpose of writing so much about this piece is mainly to explain my artwork to the other people in the show, since it was done partly for […]