3772

Scott Vorthmann, David Hall

Bridges

2017

We present a new technique for constructing conic sections and quadric surfaces, or more specifically, points on those curves and surfaces. The technique, called the chord ratio construction, takes a single numeric parameter and three input points, producing a fourth point. We show how the parameter value determines what curve or surface contains the points produced by iterating the construction. Along the way, we present some artworks that both inspired these results, and were inspired by them.