Stage: 4 Challenge Level: 
Look at the equilateral triangle rotating around the equlateral triangle. It produces a flower with three petals whose perimeter is ......
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Now consider a flower made by the triangle rotating about a square - what is the perimeter of the petals now?
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What is the perimeter when the centre of the flower is a regular pentagon, hexagon and so on.
Most importantly, can you explain what is happening?
Mathematical reasoning & proof. Circumferences. Reflections. Other polygons. Sequences. Interactivities. Perimeters. Rotations. Loci. Angles at a point/on a line.
Published November 2002.
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