knot theories III – adam rowe

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 self-supporting convex and concave arrangements possible.

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

metatronic solid face (hexahedron)

A single shape shows four negative paths curving around the center where they would otherwise intersect.

isometric hex knot

Outlined knot segments are inlaid with copper wire. Each segment follows a path which eventually returns to its origin.

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.