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Explore the fascinating world of knots and crossing numbers in this 42-minute mathematical games episode hosted by Ed Pegg Jr. from Wolfram Research. Delve into the mathematical properties of knots, examining how crossing numbers define and classify different knot types. Learn about the computational challenges involved in determining minimal crossing numbers for various knots and discover the mathematical principles that govern knot theory. Investigate practical applications of crossing number calculations in topology and graph theory while engaging with interactive examples and visual demonstrations. Access the accompanying presentation notebook through the Wolfram Community to follow along with detailed mathematical explorations and computational examples that illustrate key concepts in knot theory and crossing number analysis.
Syllabus
Mathematical Games Hosted by Ed Pegg Jr. [Episode 33: Knots and Crossing Numbers]
Taught by
Wolfram