Digitally Spelunking the Spline Mine

Curtis Palmer
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 309–312

Abstract

The Spline Mine consists of unique representations of polyhedral domains produced by: 1. modeling the solids variously classed as: Platonic, Archimedean, Catalan, Kepler-Poinsot and Stellated Icosahedra; 2. projecting polyhedral surfaces onto a plane to produce linear maps; 3. converting these maps to symmetrical spline curves; 4. using these curves for the creation of derivative forms. These curves are painted, extruded, lofted, projected and blended to produce a range of forms including: 2D prints and animations; and 3D channels, bas-reliefs, and domes.

Files