Reflections

  • 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.
  • 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.

  • Cushion Ball
    problem

    Cushion Ball

    Age
    16 to 18
    Challenge level
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    The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
  • Retracircles
    problem

    Retracircles

    Age
    16 to 18
    Challenge level
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    Four circles all touch each other and a circumscribing circle. Find the ratios of the radii and prove that joining 3 centres gives a 3-4-5 triangle.
  • Rots and Refs
    problem

    Rots and Refs

    Age
    16 to 18
    Challenge level
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    Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.
  • Hidden Meaning
    problem

    Hidden Meaning

    Age
    7 to 11
    Challenge level
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    What is the missing symbol? Can you decode this in a similar way?