Symmetry

There are 72 NRICH Mathematical resources connected to Symmetry

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Topkapi palace

These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and differences in the designs?

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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.

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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?

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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.

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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?

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Pattern power

Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.

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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?