Search by Topic

Resources tagged with Infinity similar to Where Art and Maths Combine:

Filter by: Content type:
Stage:
Challenge level:

Other tags that relate to Where Art and Maths Combine
Topology. Similarity. Geometric sequence. Perimeters. Limits. Fractal. Art. Animations. Area. Scale factors. Logarithmic functions.

There are 8 results

Broad Topics > Numbers and the Number System > Infinity

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.

Hilbert's Hotel

Stage: 4 and 5

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?

Stage: 3 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?

Towers

Stage: 3 Challenge Level:

A tower of squares is built inside a right angled isosceles triangle. The largest square stands on the hypotenuse. What fraction of the area of the triangle is covered by the series of squares?

Stage: 3, 4 and 5

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. . . .

The Cantor Set

Stage: 3 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?

Odds, Evens and More Evens

Stage: 3 Challenge Level:

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

Diminishing Returns

Stage: 3 Challenge Level:

In this problem, we have created a pattern from smaller and smaller squares. If we carried on the pattern forever, what proportion of the image would be coloured blue?