Explore rubber sheet geometry and knots through 30 interactive demonstrations.
See also: Real Analysis for continuity and metric-space foundations, Algebraic Topology for homology, cohomology, and the algebraic invariants, and Differential Geometry for manifolds as smooth topological spaces.
Continuity, homeomorphisms, and the rubber sheet analogy
Genus, orientability, and the Euler characteristic
Knots, links, and the fundamental Reidemeister moves
Crossing number, tricolorability, and unknotting number
Jones, Alexander, and HOMFLY-PT polynomials - the computational crown jewels
Knot groups and the connection to group theory
Seifert surfaces, knot cobordism, and hyperbolic knots
DNA topology, molecular knots, physics, and art