Not quite the Sierpinski triangle. Whilst there are three smaller copies of the original each containing three smaller copies of the original and so on, the copies overlap slightly. The image is generated by a kind of random walk. At each step, the position moves toward one of the outermost corners. Which one is chosen randomly with equal probability of each outcome. Usually, the distance moved is half way from the current position to the corner chosen. This gives a perfect Sierpinski triangle. In this case I have changed the fractional distance moved if either of the bottom corners is chosen. Instead of dividing the distance by 2, I divide by 1.6. (It's still divide by 2 for the top corner.) This not only creates the overlap but also a reduced likelihood of the steps appearing as you descend the outer triangle. This reduced likelihood is replicated in each smaller copy of the whole.

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