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Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?
How can you make a curve from straight strips of paper?
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.