Editing Dragon curve (section)

== Terdragon ==
[[File:Terdragon.png|thumb|left|200px|Terdragon curve.]]
[[File:Developing Terdragon Curve.jpg|thumb|right| text-bottom |300px| A sculpture depicting multiple iterations of the Lindenmayer system that generates the terdragon curve.<br>by [[Henry Segerman]]]]
The '''terdragon''' can be written as a [[Lindenmayer system]]:
* angle 120°
* initial string ''F''
* string rewriting rules
** ''F'' {{mapsto}} ''F+F−F''.

It is the limit set of the following iterated function system:

:<math>\begin{align}
f_1(z)&=\lambda z \\[4px]
f_2(z)&=\frac{i}{\sqrt{3}}z + \lambda \\[4px]
f_3(z)&=\lambda z + \lambda^* \\[4px]
\mbox{where }\lambda&=\frac{1}{2}-\frac{i}{2\sqrt{3}}
\text{ and }\lambda^*=\frac{1}{2}+\frac{i}{2\sqrt{3}}.
\end{align}</math>