Chaos Game

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The "Chaos Game" is actually a way of generating fractals(not a actual game), and although it seems quite random, it's not. It generates something like this:

If you set sides to 3 and select Draw Normal, this image is drawn. This image is a fractal called the Sierpinski Triangle. The process used sounds quite random:

Draw a triangle - any type. The vertices should be different colors. Take a die and mark two sides with each color.
Choose a random point inside. This is called the seed.
Repeat this 100 times - take the dice, roll it, and find the midpoint between the seed and the vertex corresponding to the color. Erase the previous dot and mark the new dot. This is called "settling down".
Now repeat the above about 300-400 times, but don't erase the points. The dots will start to form the Sierpinski triangle.

The process sounds random, but it's not. It can be applied to shapes of different sides, and can also be rotated, drawn inversed, etc. The bottom link is the resource I used for learning about the chaos game. It has 9 modules.

http://math.bu.edu/DYSYS/chaos-game/node1.html