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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.

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?

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?

...on the Wall

Age 11 to 14
Challenge Level

If the flag is reflected twice, which way will it be facing at the end?

Try thinking about how one point on the flag moves after one and then two reflections.

Together, these should help you describe the transformation needed for the whole flag.

The solution to Mirror, Mirror... might help.