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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.

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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.

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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.

Squareflake

Stage: 5 Challenge Level: Challenge Level:1
Try some drawings for yourself. What happens to the area at each stage? What happens to the perimeter at each stage?