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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2025 Volume 28, Number 2, Pages 5–17 (Mi mt731)

On self-similar dendrites whose copies intersect along polygonal trees

K. B. Allabergenova

Novosibirsk state university, Novosibirsk, Russia

Abstract: The article proposes an algorithm for constructing self-similar dendrites in plane whose copies intersect along a polygonal tree.

Key words: self-similar dendrite, OSC, elementary zipper, $R$-symmetric system, intersection graph of the system.

UDC: 517.54+515.12+519.172

Received: 30.04.2025
Revised: 08.05.2025
Accepted: 11.06.2025

DOI: 10.25205/1560-750X-2025-28-2-5-17



© Steklov Math. Inst. of RAS, 2025