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Sine Problem

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.

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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?

Squaring the Rectangle

Age 14 to 18 Challenge Level:
Here is a rectangle drawn on a set of axes. If the top right corner of the rectangle has coordinates (a, b), how could you calculate the coordinates of the other dots?