Dimensions: A Walk Through Mathematics
97 Views 0 Comments 14:11 - Posted by DocumentaryTube
A film for all audiences! Nine chapters, two hours of math, which will lead gradually to the fourth dimension. Mathematical vertigo guaranteed!
Two dimensions – Hipparchus shows 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.
In three dimensions – MC Escher talks about the adventures of two-dimensional creatures trying to imagine what they seem three-dimensional objects.
The Fourth Dimension – Ludwig mathematical objects Schläfli talks about living in the fourth dimension … and shows a parade of four-dimensional polytopes, strange objects, with 24, 120 and even 600 faces!
Complex numbers – Adrien Douady explains the mathematical complex numbers. The square root of negative numbers is easy! The transformation of the plane, deforming pictures, creating fractal images …
Fibration – The mathematician Heinz Hopf explains his “fibration”. The use of complex numbers that builds pretty patterns of circles in space. Circles, bulls … everything that goes in the space of four dimensions.
Test – Mathematician Bernhard Riemann explains the importance of math tests. We show a theorem on stereographic projection.