On Bi-Lipschitz classification of fractal cubes possessing one-point intersection property

preprint2022arXivOpen access

Abstract

We show that there are 105 isometric classes of fractal cubes of order 3 with 7 copies possessing one-point intersection property which are subdivided to 5 bi-Lipschitz classes of dendrites and 7 bi-Lipschitz classes of non-dendrites

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