paint
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cube sliced by surface-tiling curve
mirrored nets make interlocking cube fragments
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surface-tiling curves
semi-technical description and examples of a new way to use space-filling curves
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perspective hex
Eight knotted hexagons cover the surface of a cube in a pattern which is identical on each face of the solid.
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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.
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multi-dimensional hex knots
Two sets of interlocked hexagonal rings traverse three color fields.
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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.
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hadassah 5783
lattice knot detail in cut paper
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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.
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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.
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knot tiling triangle-faced polyhedra
A single shape tiles the faces of all three equilateral triangle-faced regular polyhedra with knots.
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exploded hexahedron tiled with a plane-filling curve
A single line bisects a hollow cube into two mirrored sections.
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tile hexahedron
A shape with interlocking edges tiles a plane. The edges of these planes bend to form a hexahedron.
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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.
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sphere of fifths
layers of glass projecting shadows
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illumination 2014
circular piece with a lot of writing
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proof
art as a container for art