I transform geometries into visceral experiences through light and pattern. My practice explores two mathematical frontiers: projecting four-dimensional polytopes into our world and mapping finite patterns onto infinite hyperbolic surfaces. Whether rendering thousands of edges in neon spectra or cascading Renaissance geometries toward infinity, I create portraits of mathematical structures beyond normal perception. These are not mere visualizations, but attempts to make the incomprehensible felt. Each piece invites viewers to experience, rather than calculate, spaces we cannot enter—some from dimensions above us, others from geometries of constant negative curvature. Mathematics provides the structure; light becomes the language.
Dürer's 1521 embroidery pattern—seven stars of unbroken knots—becomes infinite through a {6,4} hyperbolic projection laser-etched into maple veneer. While his Renaissance knotwork (influenced by Islamic geometry) already suggested mathematical infinity through continuous strands, my transformation maps his pattern onto the Poincaré disk, where six tiles meet at each vertex to create endless recursion toward the boundary. The laser-cut medium makes the curvature tangible through light and shadow, creating a temporal dialogue: projecting 16th-century craftsmanship through 19th-century non-Euclidean geometry using 21st-century fabrication. It is Dürer's vision of infinity, realized through a hyperbolic space he could not have calculated.
Sitphi
30.0 x 40.0 cm
Giclée print of digital render on 220 gsm matte fine art paper
"Sitphi" projects the shadow of a complex polychoron—the small tripesic hecatonicosachoron—into our world. Comprising 120 truncated great dodecahedral cells and 3,600 edges that exist perfectly in 4D, the structure appears impossibly complex in three dimensions. My vertex coloring algorithm creates spectral gradients purely for aesthetic impact, transforming rigid geometry into flowing light. Using a custom coded 4D visualization pipeline, I render these hyperdimensional structures as luminous entities; the neon treatment suggests a glimpse of something alive from beyond our dimensional limits. This is an artistic interpretation that invites experience over analysis.
