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