November 15, 2000 from 3:30 - 4:30 in K9509, SFU
Robert Scharein (UBC)
"Interactive Knot Theory with KnotPlot"
Abstract: We describe the computer program KnotPlot, a topological drawing tool for knots and links. Novel aspects of KnotPlot include interactive construction and manipulation of a large variety of knots and their embeddings into three-space, automated and semiautomated knot relaxation and simplification algorithms, and techniques for calculating and converting among a number of mathematical representations for knots in addition to direct visualization of the embeddings. Some applications of the system to knot theoretical problems are discussed.