Conics from Polygons: The Chord Ratio Construction

Year: 2017 Authors: Scott Vorthmann; David Hall; David Richter

Core claim

Iterating the chord ratio construction with an appropriate ratio produces points on any conic section in 2D and on a continuous range of quadric surfaces in 3D.

Topics

conic sections, quadric surfaces, affine regular polygons, iterative construction

Domains

analytic geometry, affine geometry, projective properties, reflection groups, digital art, geometric sculpture, architectural form, interactive 3D visualization

Methods

chord ratio construction, affine transformation, iterated point generation, polygonal faceting

Media

vZome, Sketchfab 3D models, Zometool, 3D-printed extensions

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.