Dimensions - A walk through mathematics !

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source: It's so blatant    2013年9月12日
Chapter 1: 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.
Chapter 2: Dimension three
M.C. Escher talks about the adventures of two-dimensional creatures trying to imagine what
three-dimensional objects look like.
Chapters 3 and 4: The fourth dimension
Mathematician Ludwig Schläfli 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 !
Chapters 5 and 6: Complex numbers
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers made easy !
Transforming the plane, deforming images, creating fractal images...
Chapters 7 and 8: 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.
Chapter 9: Proof
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves
a theorem concerning the stereographic projection.
Film produced by:
Jos Leys (Graphics and animations)
Étienne Ghys (Scenario and mathematics)
Aurélien Alvarez (Realisation and post-production)
For more information on the film visit: http://www.dimensions-math.org/Dim_E.htm

Dimensions | Chapter 1 14:01
Dimensions | Chapter 2 13:46
Dimensions | Chapter 3 14:08
Dimensions | Chapter 4 13:45
Dimensions | Chapter 5 13:43
Dimensions | Chapter 6 13:35
Dimensions | Chapter 7 13:45
Dimensions | Chapter 8 13:51
Dimensions | Chapter 9 13:49