Science - Dimensions - A Walk Through Mathematics

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Description

A film for a wide audience! Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed! Dimension Two - Hipparchus shows us how to describe the position of any point on Earth with two numbers" and explains the stereographic projection: how to draw a map of the world. Dimension Three - M.C. Escher talks about the adventures of two-dimensional creatures trying to imagine what three-dimensional objects look like. The Fourth Dimension - Mathematician Ludwig Schlafli talks about objects that live in the fourth dimension" and shows a parade of four-dimensional polytopes, strange objects with 24, 120 and even 600 faces! Complex Numbers - Mathematician Adrien Douady explains complex numbers. The square root of negative numbers made easy! Transforming the plane, deforming images, creating fractal images" Fibration - Mathematician Heinz Hopf explains his "fibration". Using complex numbers he constructs pretty patterns of circles in space. Circles, tori" everything rotating in four-dimensional space. Proof - Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem concerning the stereographic projection.