Exploring mathematics: maths in nature and art - for iPod/iPhone: Recent Episodes

The Open University

What does mathematics have to do with nature or art? The video tracks in this album trace the origin of the mathematics of chaos and describe how the chance discovery of fractals became the basis for some real - and revolutionary - commercial applications such as the fax and the modem. A closer look at ancient fabric designs and the spiral of a nautilus shell also reveals repeating patterns that can be analysed in a mathematical way. This material forms part of The Open University course MS221 Exploring mathematics.

View Details

A short introduction to the content of this album.

View Details

Transcript -- A short introduction to the content of this album.

View Details

An introduction to a primitive mollusc, a triumph of natural engineering.

View Details

Transcript -- An introduction to a primitive mollusc, a triumph of natural engineering.

View Details

Ways of creating a mathematical spiral.

View Details

Transcript -- Ways of creating a mathematical spiral.

View Details

Using computers to design carpets.

View Details

Transcript -- Using computers to design carpets.

View Details

Using the shadow’s path to register the passing of time.

View Details

Transcript -- Using the shadow’s path to register the passing of time.

View Details

The mathematics behind the curves created with a torch beam

View Details

Transcript -- The mathematics behind the curves created with a torch beam

View Details

Algebraic systems to represent slices of cones.

View Details

Transcript -- Algebraic systems to represent slices of cones.

View Details

How repeating motifs in fabric designs are made up of four isometric transformations.

View Details

Transcript -- How repeating motifs in fabric designs are made up of four isometric transformations.

View Details

An introduction to Henri Poincare and his efforts to prove the mathematical stability of the solar system.

View Details

Transcript -- An introduction to Henri Poincare and his efforts to prove the mathematical stability of the solar system.

View Details

A mistake in calculations leads to a revolutionary discovery.

View Details

Transcript -- A mistake in calculations leads to a revolutionary discovery.

View Details

The benefit of using a computer for iteration calculations.

View Details

Transcript -- The benefit of using a computer for iteration calculations.

View Details

Mathematicians have been fascinated with creating fractal patterns on a computer.

View Details

Transcript -- Mathematicians have been fascinated with creating fractal patterns on a computer.

View Details

How close examination of a fern reveals the geometry of fractals.

View Details

Transcript -- How close examination of a fern reveals the geometry of fractals.

View Details

Exploiting fractals for commercial purposes.

View Details

Transcript -- Exploiting fractals for commercial purposes.