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In how many ways can you fit all three pieces together to make shapes with line symmetry?

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?

Mirror, Mirror...

Age 11 to 14 Challenge Level:

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

Thinking about the distance between the lines of reflection might help --- squared paper might be helpful for this.