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This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
How can you make a curve from straight strips of paper?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Building up a simple Celtic knot. Try the interactivity or download the cards or have a go on squared paper.
In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?
As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?
In this article, Rachel Melrose describes what happens when she mixed mathematics with art.