Infinity is literally one of the biggest ideas in mathematics! We invite you to explore these problems that lead you to consider the awe and wonder of the infinite.
Put a counter on a 100-square, and then move it around using only two operations. Which numbers can you visit?
Try to visualise the route taken by the arrows in our animation. What patterns do you notice?
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
What do we mean by infinity? Did you know there's more than one kind of infinity? Read this article and all will be revealed!
An infinite set is called countable if you can count it. Read this article to find out how to count infinite sets!
Are there more irrational numbers than rational numbers, or more rational numbers than irrational numbers? How can we make sense of questions like this about infinity?