knot theories III

Pool of the Black Star video
short film to accompany music by KillDry

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
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
Listing bands with odd and even numbers of twists

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
Rotated copies of two identical outlined knots weave together.

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

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
Two unknots are arranged vertically above a charred wood base. The shape of the metal makes selfsupporting convex and concave arrangements possible.

multidimensional hex knots
Two sets of interlocked hexagonal rings traverse three color fields.

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

isometric hexagonal lattice
A threehexagon structure repeats to form a lattice made of knots.

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
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.

Pool of the Black Star album art
album art and some extras for guitar duo KillDry

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