Locus/loci

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

Consider the mechanics of pole vaulting

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

Points off a rolling wheel make traces. What makes those traces have symmetry?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.