The **Dragon Curve** is a simple **fractal** shape.

**Fractals** are characterized by being **symmetrical across scale**, meaning their
shapes repeat at different sizes.

Many objects in nature have **fractal** characteristics: **trees, blood vessels, and
mountains**, for example.

The **Dragon Curve** fractal is made using a **very simple set of rules:**

- Start with a line going down.
**From the end point,**rotate the shape 90° counter-clockwise.**Repeat the process,**starting from the new end point, and rotating 90° counter-clockwise.**With successive iterations, patterns begin to emerge.**- The pattern grows
**exponentially**, doubling in size with each iteration. - The first iteration had just
**two lines**, but the eighteenth iteration has over a**quarter-million lines**. Seen from a distance, individual lines blend together into a**solid color**.

**Dragon Curves** were famously used in Michael Crichton's novel
** Jurassic Park**, where mathematician

A **Dragon Curve** uses very simple rules, but from those simple rules,
**elaborate, unforseen patterns emerge**.

In the same way, the rules governing
**Jurassic Park** and its **dinosaurs** seem simple and foolproof to the park's
designers,
but lead to **unpredictable, catastrophic** results.

The **Dragon Curve** was programmed using Vanilla JS and the HTML5 Canvas element.

One unusual property of the **Dragon Curve** is that **never overlaps itself**.
This means that a **Dragon Curve** can be used to **tile a surface**.

By creating **four Dragon Curves of different colors**, each rotated 90° from the previous
one,
I can create a **Dragon Curve grid**.

I then used **Legos™** to **tile my coffee table** with a
**Dragon Curve pattern.**

**Click on photos to enlarge.**

Using a modified version of my program, a **Dragon Curve** tile can be made for any size
surface.

**Dragon Curve Drawing Function created by Nicholas Bernhard**