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'Moving Squares' printed from http://nrich.maths.org/
This problem is inspired by a
picture created by the artist Bridget Riley entitled "Movement in
Take two pieces of squared paper and colour alternate squares,
giving a checkerboard pattern.
Now, curve your pieces round to create two cylinders, and stand
them up together.
When you look straight at the two cylinders, the squares appear as
rectangles getting narrower and narrower as the page curves away
How could you represent this effect on a flat piece of
The diagram below shows what you might see if you looked at
the cylinder from above. The construction lines may help you to
work out how to recreate the image of the cylinders in two
You could vary the effect of your final image by altering the
size of the black and white squares.
We look forward to seeing your calculations and finished