Fractals
NSW Syllabus

NSW Secondary High School Stage 5 Mathematics – Additional Content

To see a World in a Grain of Sand
And a Heaven in a Wild Flower,
Hold Infinity in the palm of your hand
And Eternity in an hour.

A fractal is infinitely detailed, with parts of itself similar to all of itself.

The pictures below illustrate the structure of some of the more well known self-similar fractals. Click to animate.

There are links to worksheets to help you explore the many interesting patterns and relationships in various fractals.

Suggestion: Read the "notes on series" before attempting the worksheets.