problem

### Paper Curves

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

problem
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Paper Curves

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

problem
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How long is the Cantor Set?

Take a line segment of length 1. Remove the middle third. Remove
the middle thirds of what you have left. Repeat infinitely many
times, and you have the Cantor Set. Can you find its length?

problem
###
The Cantor Set

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?

problem
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Von Koch Curve

Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.

problem
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Squareflake

A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.

problem
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Sierpinski Triangle

What is the total area of the triangles remaining in the nth stage
of constructing a Sierpinski Triangle? Work out the dimension of
this fractal.

problem
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Smaller and Smaller

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?

article
###
Where Art and Maths Combine

In this article, Rachel Melrose describes what happens when she
mixed mathematics with art.

article
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How many elements are there in the Cantor set?

This article gives a proof of the uncountability of the Cantor set.