## Self-similar dendrites generated by polygonal systems in the plane.(English)Zbl 1371.28028

Summary: We define a class of self-similar dendrites in $$\mathbb R^2$$ generated by system $$\mathcal S$$ of similarity maps of a convex polygon $$P$$ and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove Hölder continuity of their isomorphisms.

### MSC:

 28A80 Fractals

IFStile
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### References:

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