Blancmange Curve - Graphical Construction

Graphical Construction

The blancmange curve can be visually built up out of sawtooth functions if the infinite sum is approximated by finite sums of the first few terms. In the illustration below, progressively finer sawtooth functions (shown in red) are added to the curve at each stage.

n = 0 n ≤ 1 n ≤ 2 n ≤ 3

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