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.
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
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 attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
Here is a chance to create some Celtic knots and explore the mathematics behind them.
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?
This tricky problem required you to try lots of things out and make sense of your findings. Why not read these solutions?
Go to last month's problems to see more solutions.
In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?