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→Self-similarity: explain in excrutiating detail |
→Self-similarity: in excrutiating detail... up to a point. |
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The first self-symmetry can be expressed as
:<math>r\circ c = c\circ r</math>
where the symbol <math>\circ</math> denotes function composition. That is, <math>(r\circ c)(x)=r(c(x))=1-c(x)</math> and
:<math>L_D(x)= \frac{x}{2}</math> and <math>L_C(x)= \frac{x}{3}</math>
Then the Cantor function obeys
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