Dimensions: a walk through mathematics - Season 1
1 - Dimension Two
Air Date: July 18, 2008
Hipparchus explains how two numbers can describe the position of a point on a sphere. He then explains stereographic projection: how can one draw a picture of the Earth on a piece of paper?
2 - Dimension Three
Air Date: July 25, 2008
M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
3 - The fourth dimension (1)
Air Date: August 1, 2008
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
4 - The fourth dimension (2)
Air Date: August 8, 2008
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
5 - Complex Numbers (1)
Air Date: August 15, 2008
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.
6 - Complex Numbers (2)
Air Date: August 22, 2008
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.
7 - Fibration (1)
Air Date: August 29, 2008
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
8 - Fibration (2)
Air Date: September 5, 2008
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
9 - Proof
Air Date: September 12, 2008
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.