Dimensions: A Walk Through Mathematics
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 twodimensional creatures trying to imagine what threedimensional objects look like.
The Fourth Dimension  Mathematician Ludwig Schläfli talks about objects that live in the fourth dimension... and shows a parade of fourdimensional 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 fourdimensional space.
Proof  Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem concerning the stereographic projection. Support the authors and buy the DVD here.
Watch the full documentary now (playlist)

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