hidden worlds

This exhibition is based on the paper presented at Bridges 2023 and the 2024 Knoxville AMA conference, “Surface-tiling Curves.” The subject is the application of a space-filling curve segment to the faces of regular polyhedra. The work represents real-world examples of time slices in the iterative process of these curves as sculpture and print.

Each piece exists as snapshot along the way from one to two dimensions. Glimpsing into these hidden worlds is a way of looking deeper without looking closer.

  • surface-tiling curves

    surface-tiling curves

  • surface-tiling curve hex band

    surface-tiling curve hex band

  • cube sliced by surface-tiling curve

    cube sliced by surface-tiling curve

  • exploded tetrahedron divided by surface-tiling curve И 1

    exploded tetrahedron divided by surface-tiling curve И 1

  • exploded hexahedron tiled with a plane-filling curve

    exploded hexahedron tiled with a plane-filling curve

prints

serigraphs in the show, available for purchase through The Arts Alliance and here.

  • encompassed surface-tiling curve segment

    encompassed surface-tiling curve segment

  • triangle-based surface-tiling curve segment intersection

    triangle-based surface-tiling curve segment intersection

  • triangle-based surface-tiling curve iteration segment overlaps

    triangle-based surface-tiling curve iteration segment overlaps