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Twisting the Dragon's Tail
Take a piece of paper and fold it in half, from right to left.
Fold again, in the same way, and continue for a few folds.
If, after folding, you open the page out again, you will observe the paperfold sequence - a series of downward (▼ 1) and upward (▲ 0) folds that may catch you by surprise!
Perhaps also surprising: if each fold is opened out to create a right-angled corner, the resulting shape approaches the dragon curve fractal.
Can you imagine what our dragon curve would look like if the paper was bent at an angle other than 90 degrees?
Use the Folds text box or slider to try up to 15 folds.
Use the Turn slider to explore varying the angle of the folds for up to 6 folds.
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\(Turn\) 0 1.571 3.142 \(Folds\) 0 0 15