Dmitry Drozdov

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20182024

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math.MG2024

On the intersection of fractal cubes

Andrei Tetenov, Dmitry Drozdov

We consider the intersections of fractal k-cubes of order n and intersections of their respective opposite l-faces. The main result of the paper is the theorem on representation of…

math.MG2020

On the connected components of fractal cubes

Dmitry Drozdov, Andrei Tetenov

We show that a fractal cube $F$ in $R^{3}$ may have an uncountable set $Q$ of connected components $K_{α}$ neither of which is contained in any plane, whereas the set $Q$ is a…

math.MG2018

On $δ$ -deformations of polygonal dendrites

Dmitry Drozdov, Mary Samuel, Andrey Tetenov

We find the conditions under which the attractor $K (S^{'})$ of a deformation $S^{'}$ of a contractible polygonal system $S$ is a dendrite.

On the intersection of fractal cubes

On the connected components of fractal cubes

On δ-deformations of polygonal dendrites

On $δ$ -deformations of polygonal dendrites