2D shapes and their properties

Can you spot circles, spirals and other types of curves in these photos?

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

This problem shows that the external angles of an irregular hexagon add to a circle.

Shapes are added to other shapes. Can you see what is happening? What is the rule?

This problem explores the shapes and symmetries in some national flags.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Investigate constructible images which contain rational areas.

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

Where should runners start the 200m race so that they have all run the same distance by the finish?