HB and Dad looked at Scratch projects that draw the Sierpinski triangle. (Take a look here if you'd like to explore some too.) HB's Dad then helped HB to write a program that creates a sierpinski triangle, in a way quite different from our drawings.
This program begins at one corner of the triangle. It then draws a dot half way between that corner and another corner, chosen at random. A second dot is drawn half way between the first dot and another corner, chosen at random. A third dot is drawn half way between the second dot and a random corner. This is repeated forever. Intially the pattern appears random, but as the number of dots grows, a Sierpinski triangle emerges. You can re-run the program and see different dots appear, but the end result will be the same.
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