Reflections

  • Snookered
    problem

    Snookered

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?

  • Rose
    problem

    Rose

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    What groups of transformations map a regular pentagon to itself?

  • Friezes
    article

    Friezes

    Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?
  • Shaping Up with Tessellations
    article

    Shaping Up With Tessellations

    This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your children to take over.
  • Frieze Patterns in Cast Iron
    article

    Frieze Patterns in Cast Iron

    A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

  • The Frieze Tree
    article

    The Frieze Tree

    Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

  • Paint rollers for frieze patterns.
    article

    Paint Rollers for Frieze Patterns

    Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

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