Edited and produced by Hans-Christian Hege and Konrad Polthier.
Contents:
Fibonacci and the Golden Mean -- The story of [pi] -- The law of large numbers -- Vehicle dynamics simulation -- Challenges in fluid dynamics -- On Archimedes' path -- Geodesics and waves -- Mandelbloom -- The animation of M.C. Escher's Belvedere -- Meditation on homotopy of embedding -- Knot energies -- Soap bubbles -- Touching soap films -- The shadows of Alexandria -- The theorem of Pythagoras -- The optiverse -- Homage to Hilbert -- Evolved virtual creatures -- The topological house -- The shape of space.
Summary:
A collection of juried mathematical videos presented at ICM '98 in Berlin. The videos are winners of a worldwide competition, evaluated for their mathematical relevance, technical quality, and artistic imagination. They include problems in topology and geometry and their recent solutions, visualizations of classical ideas of Archimedes, Eratosthenes, Pythagoras, and Fibonacci, topics in high school mathematics, and applications of modern numberical methods to real world simulations. They are especially suitable for school and university instruction.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.