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# Polar Bearings

## You may also like

### Maltese Cross

### Polar Flower

Links to the University of Cambridge website
Links to the NRICH website Home page

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30 April (Primary), 1 May (Secondary)

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Age 16 to 18

Challenge Level

- Problem
- Getting Started
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The article Where? Over There... introduces polar coordinates, so it might be useful to read it through to help you to get started on this problem.

Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.