1. Fractals
The Hilbert Curve

2. What is the Hilbert Curve?
The Hilbert Curve is what is known as a space-filling FRACTAL.
It is a sequence that is repeated over and over, but moves slightly with each ‘turn’ (known as an iteration). Each iteration also gets bigger by duplicating the old iteration within the new iteration.

3. Step One: Draw the shape below.

4. Step Two: Each iteration follows this pattern: Copy previous shape (left) to the right. Draw rotation 90 degrees clockwise Draw mirror image of rotation Join the lines

5. Fractals
The Hilbert Curve

6. Or Invent Your Own! Draw a (very) simple shape
Rotate the page (90, 180 or 270)
Redraw the shape, attached to the old shape
Rotate
Redraw (attached in the same part of the shape as before)
Redraw
etc