Scott Carter

Professor Emeritus
University of South Alabama
Austin, Texas USA

No statement

A window on the 2-twist spun trefoil
90 x 70 cm
digital print

This is an illustration of the two-twist spun trefoil that was inspired by the works of Satoh and Shima, Inoue, and Kawamura. I used techniques developed by Saito and myself to create the image: movie moves and surface charts. A perspective change occurs in the middle level at which front and back are reversed.

A knotted projective plane
100 x 72 cm
digital print

This is the connected sum of an unknotted projective plane and a twist spun trefoil as a subset of four-dimensional space. It is knotted since it is three-colorable.