Networks/graph theory

  • 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.

  • 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.
  • 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.
  • 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.
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