Resources tagged with: Infinity

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There are 9 NRICH Mathematical resources connected to Infinity, you may find related items under The Number System and Place Value.

Broad Topics > The Number System and Place Value > Infinity

Diminishing Returns

Age 11 to 14
Challenge Level

How much of the square is coloured blue? How will the pattern continue?

Route to Infinity

Age 11 to 14
Challenge Level

Can you describe this route to infinity? Where will the arrows take you next?

All about Infinity

Age 11 to 18

Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worse the firm belief that 1 = 0. This article discusses. . . .

Early Encounters with Infinity

Age 5 to 11

This article is one parent's story describing his young son's exploration, and growing understanding, of infinity.

Odds, Evens and More Evens

Age 11 to 14
Challenge Level

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

How Many Elements Are There in the Cantor Set?

Age 14 to 18

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

Hilbert's Hotel

Age 14 to 18

Hilbert's Hotel has an infinite number of rooms, and yet, even when it's full, it can still fit more people in!

How Long Is the Cantor Set?

Age 11 to 14
Challenge Level

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?

The Cantor Set

Age 11 to 14
Challenge Level

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?