fXOR 3D Cellular Dynamics Seeded by the First 100 Fibonacci Numbers

Read full text
Authors: Sanny Koch
Cited by: 0

Abstract

This work presents a symbolic cellular framework based on fXOR logic (digital-root modulo 9 with 0 mapped to 9) embedded in a three-dimensional lattice. The system is seeded using the first 100 Fibonacci numbers, generated sequentially without closed-form expressions. Each Fibonacci value is reduced to a symbolic state and drives both interaction and movement rules. The system evolves through discrete time steps, with time acting as an implicit fourth dimension. Rather than relying on numerical magnitude, the framework treats numbers as symbolic states governed by constraint-based dynamics. The results demonstrate how coherent motion, structure formation, and closure behavior can emerge from symbolic interactions alone. This work is intended as an experimental and conceptual reference, published as prior art and protected under a custom research and attribution license.

Fields of Study & Subjects

Cellular Automata and Applications Advanced Materials and Mechanics Modular Robots and Swarm Intelligence

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026