E1 - Dimension Two

Aired: 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?

E2 - Dimension Three

Aired: July 25, 2008

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

E3 - The fourth dimension (1)

Aired: August 01, 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!

E4 - The fourth dimension (2)

Aired: August 08, 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!

E5 - Complex Numbers (1)

Aired: 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.

E6 - Complex Numbers (2)

Aired: 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.

E7 - Fibration (1)

Aired: August 29, 2008

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

E8 - Fibration (2)

Aired: September 05, 2008

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

E9 - Proof

Aired: September 12, 2008

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