Hyperseeing, Hypersculptures, Knots, and Minimal Surfaces

Nathaniel A. Friedman

We wish to highlight the fact that seeing is of basic importance in mathematics just as in art. Furthermore, certain mathematical forms can be seen as ideas for generating art forms. We introduce hyperseeing which is a more complete all-around seeing from multiple viewpoints. Hyperseeing is facilitated by viewing a hypersculpture. Hyperseeing is also applied to study knot forms and their corresponding minimal surfaces.