The Knot Studies research explores three-dimensional realizations of mathematical knots through 3D printing. The investigation translates topological knot structures into physical forms, examining how abstract mathematical curves manifest as tangible objects. The study addresses various knot types including trefoil knots, figure-eight knots, and more complex configurations. Each knot presents different geometric challenges for physical realization. The research tests how knot theory principles translate to printable geometries and which representations best communicate topological properties. The investigation examines tube thickness, curve smoothness, and spatial positioning for optimal visualization of knot crossings and structure. The work establishes methods for converting mathematical knot descriptions into fabricable forms while maintaining topological accuracy. Physical models make abstract knot theory concepts accessible through direct observation.
Photography: Phillip C. Reiner
