Concept explainers
Cantor luck (H). Start with the point 0. Flip a coin. If it comes up heads, move 2/3 of the way toward 1, if it comes up tails, move 2/3 of the way to 0 from wherever you are at the time. Repeat forever. The points you find are drawing a picture of the Cantor set defined in the previous Mindscape. Verify that any point in the Cantor Set will move to another point in the Cantor Set under the coin-flipping-and-moving process. Notice that the points will approximate the whole Cantor Set as you continue the process.
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