Fractal Complexity and Pigment Architecture of the Human Iris: A Comparative Analysis Using Box-Counting Dimension and Nevi Characterization
Abstract
Formal pre-registration of the hypothesis that pigmented biological structures across different tissues (iris nevi and cutaneous nevi) share measurable fractal and geometric organization principles. Defines two candidate metrics:- Δ_D: cross-tissue fractal correlation index (box-counting dimension)- Δ_A: cross-tissue golden proximity index (Auric Index extension) Predicts corr(D_iris, D_skin) > 0 and corr(A_iris, A_skin) > 0 across cohort n ≥ 40, p < 0.05. No code. Theoretical formulation only. Pre-registered to establish priority and date of formulation. Related records:- Iris pipeline v5.1: https://doi.org/10.5281/zenodo.18806604- Iris preprint: https://doi.org/10.5281/zenodo.18781344- Phyllotaxis base: https://doi.org/10.5281/zenodo.18760369 --- v3: Added UBIRIS v1 external validation results (6 subjects, DOI 10.5281/zenodo.18818697). Section 5.7 updated with first Auric Index signal in unknown population subject (UBIRIS 174, A=0.400, p=0.979). References [16-17] added.
Fields of Study & Subjects
Biometric Identification and Security
Retinal Imaging and Analysis
Cellular Automata and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint