Season 1

Season 1 (2008)

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OVERVIEW

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

EPISODES

Dimension Two

1. Dimension Two

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. 15 min

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

2. Dimension Three

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. 15 min

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

The fourth dimension (1)

3. The fourth dimension (1)

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. 15 min

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)

4. The fourth dimension (2)

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. 15 min

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)

5. Complex Numbers (1)

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. 15 min

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)

6. Complex Numbers (2)

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. 15 min

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)

7. Fibration (1)

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. 15 min

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

Fibration (2)

8. Fibration (2)

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. 15 min

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

Proof

9. Proof

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. 15 min

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

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