Concept explainers
How much remains? Consider numbers that are not in decimal form (that is, base 10) but instead are represented in base 3. That is, every digit of the number is 0, 1, or 2. The first digit after the “decimal” point tells how many
Show that the points that remain in the Cantor Set are exactly those numbers whose base 3 decimal expansion can be written with only 0’s and
2’s. (Note that, just as
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The Heart of Mathematics: An Invitation to Effective Thinking
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