The true dragon curve is the shape you get from an infinite number of folds.
In this sample from More Hands-on Science, we’re looking at infinitely detailed shapes known as fractals. If you do this activity, you can discover a fractal called the dragon curve!
The shapes you’ve been making are called dragon curves. You can make a bigger dragon curve by starting with a larger piece of paper and folding it in half more times. However, after about five folds, it becomes difficult to fold the paper in half.
You can also combine two smaller dragon curves to make a larger one. To do this, you’ll need to put the correct ends together so they meet at a right angle. There are a few different ways you could do this, but only one of them is correct – to check, compare it with a single-folded curve.
Although we’re calling all these shapes ‘dragon curves’, there’s actually only one shape that’s truly a dragon curve. The true dragon curve is the shape you get from an infinite number of folds.
Smaller sections of the dragon curve – like the ones in this activity – are also known as the Jurassic Park dragon. This is because they were found on the section title pages of Michael Crichton’s famous novel, Jurassic Park.
If you made a mistake in this activity, don’t worry! That’s real-life maths.
Lots of patterns can be made from doing the same thing over and over. But the patterns can react differently when a mistake is made. Sometimes a mistake doesn’t change the result that much – for example, if you get one of the last folds backwards in this activity. But other mistakes can have huge consequences!
The area of mathematics that looks at how patterns react to mistakes or changes is called chaos theory. Chaos theory is important in a whole range of things, from weather prediction to asteroid tracking.
This activity comes from More Hands-on Science, a book packed with 50 science projects for you to do at home.
Order your copy online on the CSIRO Publishing website
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