Exploration Library

The steepest cable car in the world

A 159% gradient, reported as the steepest cable car in the world: …

Trigonometry Engineering +2

Mathematics of Running Style

Stride length and cadence change as runners speed up. This explores how, …

Optimization Data Analysis +2

Maths of Swimming Technique

Explore your own technique versus perfection - Explore the mathematical principles and …

Optimization Biomechanics +2

Moon Caves

Lunar caves (lava tubes) have been located by measuring how the surface …

Geometry Geometric Proofs +2

The Pool Table Problem

On a rectangular table with whole-number sides, which corner does a bounced …

Geometry Angles +2

Lagrange Points

Model the point between Earth and the Sun where gravitational pulls balance, …

Physics Astronomy +2

Tipping Point

These table tennis tables cannot be stored on slopes greater than 10 …

Forces Physics +2

The Maths of Pool (Billiards)

Predict where to aim a pool ball using the law of reflection, …

Geometry Angles +2

Time to Fall

Drop an object from various heights and plot height versus time to …

Physics Kinematics +2

Parabolic Motion

Parabolic motion is the description of an object moving under the influence …

Physics Parabolic Motion +2

Sound Mirrors

Sound mirrors are a world war era site in the UK and …

Geometry Acoustics +2

The 3D Geometry of a Hexagonal Roof

A hexagonal summerhouse roof is built from six identical triangular panels meeting …

Vectors 3D Geometry +2

Reuleaux Triangle in 3D

A Reuleaux triangle has constant width: rolled between two flat plates, it …

Geometry Constant Width Curves +2

The Mercator Map and Circles

How circles of increasing radius, centred on a city such as Paris, …

Geometry Cartography +2

The Mercator Map

Africa is fourteen times larger than Greenland, but they look similar in …