Finding Self-Similar and Scaling Fractal Properties in R within Collatz Number Systems

Figshare 2026 Preprint Open access

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Authors: Christohper Ladd
DOI: 10.6084/m9.figshare.31235980
Cited by: 0

Abstract

We further establish self-similar and scaling fractal properties in the space of real numbers R by inverting the principles of the Collatz function to create a directed acyclic graph (DAG) framed in the form of a rooted tree to measure these behaviors.

Fields of Study & Subjects

Mathematical Dynamics and Fractals advanced mathematical theories Advanced Mathematical Theories and Applications

Publication details

Journal / source
Figshare
Publication date
1 January 2026
Document type
Preprint