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There are **9** NRICH Mathematical resources connected to **Fractal**, you may find related items under Fractions, decimals, percentages, ratio and proportion.

Article
Primary curriculum
Secondary curriculum
### Where Art and Maths Combine

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

Age 11 to 18

Problem
Primary curriculum
Secondary curriculum
### Paper Curves

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

Age 7 to 11

Challenge Level

Article
Primary curriculum
Secondary curriculum
### How Many Elements Are There in the Cantor Set?

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

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### 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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 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?

Age 7 to 14

Challenge Level