Symmetry

  • Building Patterns
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    Building patterns

    Can you deduce the pattern that has been used to lay out these bottle tops?
  • Watch those Wheels
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    Watch those wheels

    Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!
  • Lafayette
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    Lafayette

    What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?
  • Paint rollers for frieze patterns.
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    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.

  • Dancing with Maths
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    Dancing with maths

    An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?
  • Pattern Power
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    Pattern power

    Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
  • Friezes
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    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?
  • Tournament Scheduling
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    Tournament scheduling

    Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
  • The Frieze Tree
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    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?
  • Frieze Patterns in Cast Iron
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    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.