Networks/graph theory

  • Tangles
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    Tangles

    A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?
  • Placeholder: several colourful numbers
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    Neural Nets

    Find out some of the mathematics behind neural networks.
  • The Four Colour Theorem
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    The Four Colour Theorem

    The Four Colour Conjecture was first stated just over 150 years ago, and finally proved conclusively in 1976. It is an outstanding example of how old ideas can be combined with new discoveries. prove a mathematical theorem.

  • Symmetric Tangles
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    Symmetric Tangles

    The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

  • Behind the rules of Go
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    Behind the Rules of Go

    This article explains the use of the idea of connectedness in networks, in two different ways, to bring into focus the basics of the game of Go, namely capture and territory.