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art

  • negative single twist component (deconstructed print)

    negative single twist component (deconstructed print)

    a site-specific, multilayered print based off of other artwork

  • rana viam

    rana viam

    a way to visualize overwhelming choices

  • surface-tiling curve hex band

    surface-tiling curve hex band

    band composed of surface-tiling curve segments

  • partial dimensions

    partial dimensions

    a collection of several works from previous knot theories shows

  • cube sliced by surface-tiling curve

    cube sliced by surface-tiling curve

    mirrored nets make interlocking cube fragments

  • surface-tiling curves

    surface-tiling curves

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

  • Pool of the Black Star video

    Pool of the Black Star video

    short film to accompany music by KillDry

  • knot theories iii

    knot theories iii

    Geometric and abstractive works in metal sculpture, painting, woodworking, papercraft and other media illustrate basic principles of topology and tiling.

  • axonometric tiles

    axonometric tiles

    Lattices of three different colors intersect over a field of triangles. The large hexagon contains the basic unit for the pattern, made up of transformed copies.

  • double quad knot

    double quad knot

    Two knots based on 90° radial symmetry intertwine. The same material (steel) is heat treated with different processes to create two different colors.

  • cistercian counting bands

    cistercian counting bands

    Listing bands with odd and even numbers of twists

  • negative single twist components

    negative single twist components

    A helix and a hexahedron are both composed from a single component, a negative single twist knot.

  • double tri unicursal knot

    double tri unicursal knot

    Rotated copies of two identical outlined knots weave together.

  • infinity knots

    infinity knots

    Five knots are bent into the shape of a larger knot, the symbol for infinity.

  • 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.

  • woven tile hexahedron

    woven tile hexahedron

    Copies of a single metal tile are woven together to form a cube with a concave vertex.

  • isometric hexagonal lattice

    isometric hexagonal lattice

    A three-hexagon structure repeats to form a lattice made of knots.

  • 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.

  • 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.

  • unicursal polygonal tercet

    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

    hadassah 5783

    lattice knot detail in cut paper

  • artist statement

    Motivation / Goals Identifying a challenge For me, making a new artwork begins with a question I don’t immediately know the answer to. It ends with the artwork as the proof that the answer I came up with is true. The middle part, figuring it out, is often more time consuming than shaping the actual…

  • tri unknot

    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 was on display at the McGhee Tyson Airport (TYS) in 2023.

  • 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.

  • layered multi polygon knot

    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.

  • 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).

  • 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…

  • tri angle polygonal knot

    tri angle polygonal knot

    A parallelogram and a triangular line rotate to create an overall triangular shape. Encaustic medium covers gilded ink. My first step was putting the main design down in ink. (I phrased the media used in this piece as “Patty Ink” because it once belonged to Pat Lauderdale, someone who always encouraged my artistic endeavors. She…

  • 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…

  • knot tiling triangle-faced polyhedra

    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

    exploded hexahedron tiled with a plane-filling curve

    A single line bisects a hollow cube into two mirrored sections.

  • tile hexahedron

    tile hexahedron

    A shape with interlocking edges tiles a plane. The edges of these planes bend to form a hexahedron.

  • scale tile listing band

    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.

  • Pool of the Black Star album art

    Pool of the Black Star album art

    album art and some extras for guitar duo KillDry

  • knot theories ii

    knot theories ii

    A collection of artworks further exploring the use of repeated, simple shapes and lines translated or rotated to create complexity in a knot design.

  • unicursal spiral tercet

    unicursal spiral tercet

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

  • knot theories

    knot theories

    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.

  • chatoyant tercet knot

    chatoyant tercet knot

    the quintessential knot

  • triple knot listing band

    triple knot listing band

    three braided knots as a listing band

  • translucent listing band slice stack

    translucent listing band slice stack

    stacked slices of an image

  • collapsible scale listing band (deconstructed)

    collapsible scale listing band (deconstructed)

    deconstructed listing band segment

  • reversed metatronic solid (hexahedron)

    reversed metatronic solid (hexahedron)

    how to create a piece of art that you can see from all angles?

  • metatronic solid faces

    metatronic solid faces

    isolated polyhedra faces

  • metatronic solid (tetrahedron)

    metatronic solid (tetrahedron)

    Three lines make a reversed knot pattern covering all faces of a tetrahedron, regardless of rotation (this same pattern can tile a plane).

  • tercet chain knot

    tercet chain knot

    copper knot inlaid in wood

  • self-intersecting tercet knots with encompassment

    self-intersecting tercet knots with encompassment

    Three triangular twists are abound together by an encompassing shape echoing the group’s perimeter. The way the paper is cut and overlapped gives the illusion that each of the four main components are made of single pieces of paper. You have to cheat a little to give the illusion of self-intersecting lines made out of a…

  • encompassed unicursal tercet knot

    encompassed unicursal tercet knot

    A hexagonal ring bound to another triply-twisted ring is suspended vertically.

  • projected isometric tercet knot

    projected isometric tercet knot

    This is a double-lined, triple-component knot based on an isometric grid. The rules of knot making are slightly bent with the double line, but half the fun of making your own system is breaking its rules. It is “projected” is because its construction uses small wooden dowels to lift the individual pieces above the surface.…

  • unicursal pentad knot

    unicursal pentad knot

    Follow the (implied) line with your eye. The line is unicursal, meaning there’s only one line. At first you might be tempted to assume there are five sections, and of course there are, but the radial symmetry is just a property of this particular line. These are probably the most difficult knots to design because…

  • tercet knot progression with self-similar encompassment

    tercet knot progression with self-similar encompassment

    knots entangled with smaller versions of themselves

  • axonometric scale listing band

    axonometric scale listing band

    repeated, interlocking shapes forming a Listing band

  • interlocking panel box

    interlocking panel box

    an attempt at making a box with identical interlocking panels

  • hail album art

    hail album art

    a variety of album art treatments for my own music

  • current definition of art

    current definition of art

    components of an artwork A work of art has been fully realized when an artist actively participates in the actions of creating, shaping, and framing. When only one or two actions have been done, this only means that the artwork is not as fully realized as it could be. creating Since ideas can exist independently of…

  • sphere of fifths

    sphere of fifths

    layers of glass projecting shadows

  • illumination 2014

    illumination 2014

    circular piece with a lot of writing

  • proof

    proof

    art as a container for art

  • recursive antecedent quick response code experiment
  • martian / alien painting

    martian / alien painting

    a painting full of nostalgia

  • time-based HSB color values

    My interest in time-based color values came from reading about the concept of chromo°. Picking a point from the HSB color model proved more complicated than I originally thought. Ben Bryant helped me do the hard math parts to figure this one out, so special thanks to him. See the Pen time-based HSB by adam…

  • my name

    my name

    Below are real life implementations of a logotype of my first name. The first version of this was created when I was in middle school, c.1990. After taking art more seriously, or at least doing more art, I have been in search of a symbol or mark which represents me. I returned to a version…

  • roman alphabet observation

    I wanted to call this my roman type theory, but it’s just more of an observation of an interesting pattern. Maybe after you read this, you’ll look at the alphabet differently, especially if you’re looking at the alphabet with something obstructing your view of most of it…. What I mean here by the roman alphabet…

  • student work

    student work

    artwork completed long ago