Scott Carter

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.

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.