This Imagine Logo project allows you to experiment with drawing regular shapes, and exploring the rotation of regular shapes.

Drag the sliders to vary the values. See if you can discover how to create 3,4,5 ,6,8 and 9 sided shapes. Try and spot the general rule at work here. Use the hide/show turtle button to check that your shape really joins up completely, beginning to end. Why do you think we missed out 7 sided shapes? Can you work it out? When you've done this, try clicking on the 'show rotation tools' arrow, and see if you can discover interesting rotations of regular shapes.