Quadrics theorems as an introduction to geometry, parametric design and digital fabrication

The Caterpillar gallery was a teaching innovation project intended to integrate geometry, parametric design and digital fabrication at the earliest stage of the undergraduate training period. This paper shows the contents, based on this project, of the workshop carried out within the 33rd eCAADe conference, Vienna 2015. The geometrical principles -stemming from certain quadrics theorems-, the parametric definition and the digital fabrication of the reduced-scale model executed in the workshop are outlined and illustrated.