Abstract
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.
