Fractals22 of 113

Cantor set

Henry Smith 1874, Georg Cantor 1883

Remove the middle third of a segment, then the middle third of each piece, forever. What remains has length zero yet as many points as the whole line. Its staircase climbs from 0 to 1 while being flat almost everywhere.

dim = log 2 / log 3 ≈ 0.6309

On mathcurve.com as Ensemble de Cantor

Variant

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