Go back

Dimension Two

Episode number: 1

Overview: 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?

Dimension Three

Episode number: 2

Overview: M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.

The fourth dimension (1)

Episode number: 3

Overview: 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!

The fourth dimension (2)

Episode number: 4

Overview: 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!

Complex Numbers (1)

Episode number: 5

Overview: 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.

Complex Numbers (2)

Episode number: 6

Overview: 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.

Fibration (1)

Episode number: 7

Overview: The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.

Fibration (2)

Episode number: 8

Overview: The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.

Proof

Episode number: 9

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