Cantor Set Explorer

Animated construction of the Cantor set and Cantor dust. Measure shrinks to zero; dimension is log(2)/log(3)≈0.631.

Parameters

Iteration: 0
Segments: 1
Total measure: 1.000
Box-counting dim: 1.000
Standard Cantor: remove middle 1/3 repeatedly. Measure → 0 but uncountably infinite points remain. Dimension = log(2)/log(3) ≈ 0.631.