English

Generating Random Hyperfractal Cities

Information Theory 2025-12-02 v1 math.IT

Abstract

This paper focuses on the challenge of interactively modeling street networks. In this work, we extend the simple fractal model, which is particularly useful for describing small cities or individual districts, by constructing random cities based on a tiling structure over which hyperfractals are distributed. This approach enables the connection of multiple hyperfractal districts, providing a more comprehensive urban representation. Furthermore, we demonstrate how this decomposition can be used to segment a city into distinct districts through fractal analysis. Finally, we present tools for the numerical generation of random cities following this model.

Keywords

Cite

@article{arxiv.2512.01505,
  title  = {Generating Random Hyperfractal Cities},
  author = {Geoffrey Deperle and Philippe Jacquet},
  journal= {arXiv preprint arXiv:2512.01505},
  year   = {2025}
}
R2 v1 2026-07-01T08:03:26.314Z