the sierpinski triangle

I continue to be amazed by this piece of wizardry. The plot is simple: the black turtle "thinks" of a colour red, green or blue. The black turtle then moves half way towards the turtle of the chosen colour. Press the one.step button to see it happen ... and again ... and again ...
Notice that the turtle leaves a mark at each position ... could there possibly be a pattern to these marks?

Think about it before pressing the next button followed by the go button: this will make 100,000 moves for you. If you get tired of watching, just press the go button again.

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