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Self-similarity |
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f(x)=H_D(C \cap (0,x)).
</math>
==Self-similarity==
The Cantor function posses several [[symmetry|symmetries]]. One is a reflection symmetry:
:<math>c(x)=1-c(1-x).</math>
The other is a pair of magnifications, one on the left and one on the right:
:<math>c(x/3) = c(x)/2</math>
and
:<math>c((x+2)/3) = c(x)/2 + 1/2</math>
== Generalizations ==
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