Crystal


import Suit from "../components/sketches/Day2";

<Suit />

Prompt #2 from [Inktober](https://inktober.com/) 2021.


Suit


import Dragon from "../components/Dragon";

A [dragon curve](https://en.wikipedia.org/wiki/Dragon_curve), also known as a
Heighway dragon, is a non self intersection space filling curve. It has a
fractal dimension of 2 and is able to tile the plane.

## Demo - 9th iteration

<Dragon iterations={9} />

This is the curve generated by repeatedly folding a paper in half. Each
iteration of the curve can be built from the previous. We can describe the curve
in terms of $R$ and $L$, where a $R$ represents turning to the right and drawing
a segment, and a $L$ represents turning to the left and drawing a segement. The
pattern can be described as follows:

1. Start with a $R$.
2. For each iteration, append an $R$ to the previous iteration, then add on the
   previous iteration reversed and with $L$s and $R$s swapped.

The first few iterations would be:

1. $R$
2. $R$ $R$ $L$
3. $R$ $R$ $L$ $R$ $R$ $L$ $L$
4. $R$ $R$ $L$ $R$ $R$ $L$ $L$ $R$ $R$ $R$ $L$ $L$ $R$ $L$ $L$

The demo above shows the 9th iteration of the dragon curve.


Crystal

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