Symmetry

When dice land edge-up, we usually roll again. But what if we didn't...?

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

What groups of transformations map a regular pentagon to itself?

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Here is a chance to create some Celtic knots and explore the mathematics behind them.

Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.