Duration: 01:50

A gymnast talks about her routine. Includes a floor routine and the associated commentary.

Duration: 02:36

A gymnast shows her moves on the asymmetric bars and describes her routine.

Duration: 00:38

Are our faces symmetrical? Demonstrates how strange a totally symmetrical face would look.

An animated guide to circles and angles related to them.

An animated guide to using trigonometry to solve problems relating to right-angled triangles.

Duration: 02:28

Pictures of a variety of shapes in the fairground setting, some moving and some static.

Duration: 03:41

A demonstration of the use of mathematics in producing an animated piece of film.

Duration: 05:26

Beginning with trees and moving on to Pixar films, Marcus du Sautoy explores how simple rules can give rise to very complex fractal shapes in natural systems, creating realistic textures and surfaces.

Duration: 05:34

Marcus du Sautoy looks at why bees create hexagonal honeycombs and he uses a bubble array to show how nature is always trying to make the most efficient use of materials.

An animated step-by-step guide to sketching quadratic functions.

An animated step-by-step guide to sketching trigonometric functions.

Duration: 03:37

An animated step-by-step guide to working out the gradient, equation and position of a straight line.

Duration: 01:48

An explanation of how bubbles find the most efficient shape when they are joined together.

Duration: 01:28

An explanation of how planes use bearings to navigate.

Duration: 02:45

Students are asked to plot a 4-leg course for a plane to take off from an airport, fly around a circuit and land again.

Duration: 04:08

Having worked out their four 'headings' in Part 1, two students test out their bearing calculations on a circular flight around an airport.

Duration: 00:39

A short explanation of which bearings should be flown to get to Barbados.

Duration: 02:15

How a fairground ride is built and operated and how the rider moves.

Duration: 01:14

As a camera pans around a London railway station, the symmetries of different objects are explored.

Duration: 02:33

A textile designer explains how her patterns are created, by step-rotating simple shapes by factors of 360 degrees.

Rules related to right-angled triangles in circles are outlined in this animated guide.

Duration: 02:08

An explanation of why bubbles are spherical and why spheres are so common in nature.

Duration: 04:13

Presenter Carol Vorderman explains how our sense of maths helps us know if a sofa will fit through a corridor.

Duration: 00:52

An introduction to the number pi.

Duration: 01:47

An introduction to the Platonic solids and how they are used as dice.

Duration: 01:46

A look at the set up and path taken by a waltzer car at the fairground.

Duration: 03:09

A CAD programmer is shown cutting the corners of a cube in a 3D virtual environment before creating the net of a cube which can be folded up virtually to make the solid.