Simons Foundation

Mathematical Impressions: Curved and Straight?

The elliptic hyperboloid is a beautiful quadratic surface that is “doubly ruled,” meaning that the surface, although curved, contains two straight lines through each point.

The elliptic hyperboloid is a beautiful quadratic surface that is “doubly ruled,” meaning that the surface, although curved, contains two straight lines through each point. This property allows it to be used in architectural applications where designers wish to achieve an elegant curve using cost-effective straight stock.

Here it is applied to the design of a walk-through archway in the teaching garden at the University of British Columbia in Vancouver. Thank you to the many students, staff and faculty who participated in its construction.

More videos from the Mathematical Impressions series.