Dimensions: a walk through mathematics

Seasons

Season 1 (2008)

Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed!

Episodes:

Ep. 1: Dimension Two (2008-07-18)

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?
Ep. 2: Dimension Three (2008-07-25)

M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
Ep. 3: The fourth dimension (1) (2008-08-01)

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!
Ep. 4: The fourth dimension (2) (2008-08-08)

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!
Ep. 5: Complex Numbers (1) (2008-08-15)

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.
Ep. 6: Complex Numbers (2) (2008-08-22)

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.
Ep. 7: Fibration (1) (2008-08-29)

The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
Ep. 8: Fibration (2) (2008-09-05)

The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
Ep. 9: Proof (2008-09-12)

Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.