Topology
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articleBands and bridges: bringing topology back
Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology. -
articleGoing places with mathematicians
This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping things. -
articleTangles
A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead? -
articleSymmetric tangles
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why! -
pageMaking maths: walking through a playing card?
It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through? -
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articleA curious collection of bridges
Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!
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problemEarth shapes
Age16 to 18Challenge level
What if the Earth's shape was a cube or a cone or a pyramid or a saddle ... See some curious worlds here. -
problemTravelling salesman
Age11 to 14Challenge level
A Hamiltonian circuit is a continuous path in a graph that passes through each of the vertices exactly once and returns to the start. How many Hamiltonian circuits can you find in these graphs?