The twindragon (also known as the Davis-Knuth dragon) can be constructed by placing two Heighway dragon curves back-to-back. It is also the limit set of the following iterated function system:
where the initial shape is defined by the following set .
It can be also written as a Lindenmayer system - it only needs adding another section in initial string:
- angle 90°
- initial string FX+FX+
- string rewriting rules
- X ↦ X+YF
- Y ↦ FX−Y.
Read more about this topic: Dragon Curve