A Family of Fern-like Ternary Complex Trees

Year: 2019 Authors: Bernat Espigulé

Core claim

The paper derives a parametric family of fern-like complex trees from a ternary topological set and analyzes its unstable set, boundary algebra, and self-similar geometry.

Topics

complex trees, self-similar sets, unstable set, Hausdorff dimension

Domains

fractals, complex dynamics, iterated function systems, topology, fractal art, mathematical visualization, generative design

Methods

parametric family construction, topological equivalence relations, symbolic coding, dimension calculation

Media

Mathematica, complex-plane diagrams, fractal tree images

Source status

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