We’ve been exploring spirolaterals – patterns formed by repeating simple mathematical rules. We explored different numbers of steps while turning through right-angles. A spirolateral of order 5, for example, follows these rules:

• Forward 1cm then turn
• Forward 2cm then turn
• Forward 3cm then turn
• Forward 4cm then turn
• Forward 5cm then turn
• Repeat

Each turn was 90° clockwise. However, we then decided that it would be more fun to go outside and do some giant maths by drawing large spirolateral patterns across the playground.

We took a very dizzy walk along a spirolateral of order 4 which spirals off in to infinity: