Networks/graph theory

  • Geometry and Gravity 2
    article

    Geometry and gravity 2

    This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.
  • Ding Dong Bell
    article

    Ding dong bell

    The reader is invited to investigate changes (or permutations) in the ringing of church bells, illustrated by braid diagrams showing the order in which the bells are rung.
  • Euler's Formula and Topology
    article

    Euler's formula and topology

    Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the relationship between Euler's formula and angle deficiency of polyhedra.
  • Behind the rules of Go
    article

    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.

  • Dice, Routes and Pathways
    article

    Dice, routes and pathways

    This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to think mathematically, especially geometrically.
  • Sprouts Explained
    article

    Sprouts explained

    This article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with significant food for thought.
  • Going Places with Mathematicians
    article

    Going 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.
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