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

Author: The Open University

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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.
14 Episodes
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A short introduction to the content of this album.
Spirals in nature

Spirals in nature

2009-07-1501:27

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

How to create a spiral

2009-07-1505:29

Ways of creating a mathematical spiral.
Manufacturing patterns

Manufacturing patterns

2009-07-1506:48

Using computers to design carpets.
How a sundial works

How a sundial works

2009-07-1501:52

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

Visualising a conic

2009-07-1503:06

The mathematics behind the curves created with a torch beam
Slicing cones

Slicing cones

2009-07-1504:08

Algebraic systems to represent slices of cones.
Where art meets maths

Where art meets maths

2009-07-1511:44

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

The last universalist

2009-07-1503:18

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

A chaotic universe

2009-07-1503:54

A mistake in calculations leads to a revolutionary discovery.
The power of computers

The power of computers

2009-07-1501:48

The benefit of using a computer for iteration calculations.
Mathematicians have been fascinated with creating fractal patterns on a computer.
Natural mathematics

Natural mathematics

2009-07-1503:21

How close examination of a fern reveals the geometry of fractals.
Exploiting fractals for commercial purposes.