A single shape shows four negative paths curving around the center where they would otherwise intersect. The resulting arcs weave over and under one another.
Copies of the projected shape can be rotated and aligned to form a hexahedral shell on which the paths combine to form four knots.
This sculpture (metatronic solid) is a hexahedron shell formed from the same face pattern.
This piece was on display at the City County Building in Knoxville, TN in 2024.
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 died in 2016 and I was given some of her art supplies, so I like to make reference whenever I use them.)
Next, I put gold leaf along the lines, scraping off some of the leaf to reveal the color underneath.
Finally, I added a few layers of encaustic wax to give it a little more depth. The frame is charred wood.
This piece was on display in the Schwarzbart Gallery in 2022.
A single line bisects a hollow cube into two mirrored sections, revealing a second, smaller solid cube inside which supports the three pieces when suspended from the top corner. The bisecting line (curve) is plane-filling, and each face of the exploded hexahedron is identical.
A single line bisects a hollow cube into two mirrored sections, revealing a second, smaller solid cube inside which supports the three pieces when suspended from the top corner. The bisecting line (curve) is plane-filling, and each face of the exploded hexahedron is identical.
The diagram here shows the first 4 iterations of this curve although only the first one is used in this piece. It may look like the Hilbert curve at first, but while it’s ok for a space-filling curve to start at the left and end at the right, to use a curve to tile the faces of a polyhedron, it will have to follow a more circuitous path.
This piece evolved into the surface-tiling curve project.