Search by Topic

Resources tagged with Fractal similar to How Long Is the Cantor Set?:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 4 results

Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Fractal

problem icon

How Long Is the Cantor Set?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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 icon

The Cantor Set

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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 icon

How Many Elements Are There in the Cantor Set?

Stage: 4 and 5

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

problem icon

Where Art and Maths Combine

Stage: 3, 4 and 5

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


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.