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→Self-similarity: Phew, I think I am done, for now. |
→Self-similarity: Define the reflection as |
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and
:<math>c\left(\frac{x+2}{3}\right) = \frac{1+c(x)}{2}</math>
The magnifications can be cascaded; they generate the [[dyadic monoid]]. This is exhibited by defining several helper functions. Define the reflection as
:<math>r(x)=1-x</math>
The first self-symmetry can be expressed as
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