Sierpinski Triangle

Sierpinski Triangle

The chaos game is played as follows. First, draw a triangle (any triangle works—right, equilateral, isosceles, whatever).
Name the three vertices (1,2), (3,4) and (5,6) respectively.

Next, pick a point that’s inside the triangle (actually you can take it anywhere even outside the triangle). This point is called “seed”.
Now, take a die and roll it. Depending on what value comes up, move the seed half the distance to the appropriate vertex. Now the seed changes to the new position. That is, if ‘1’ comes up, move the point half the distance to the (1,2) vertex.
Continue the process. That is, roll the die again and move the new point half the distance to the appropriate vertex.

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