Symmetry

There are 72 NRICH Mathematical resources connected to 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.