Rhizomes and Fractals and Self-Oranizing Systems - [Atlan - Prigogine - Whitehead - Serres - Deleuze] - [AI]
AI The fractal (self-similar, repeating patterns across scales) and the rhizome (a decentralized, non-hierarchical network where any point connects to any other) form the foundation of self-organizing systems . They represent the geometry and the topology of a system respectively, organically adapting without top-down control. [ 1 , 2 , 3 , 4 , 5 ] These concepts connect to self-organization through several core principles: Scale-Invariant Structure (The Fractal): Self-organizing networks thrive by repeating basic, localized rules at every level. A fractal provides the blueprint for this. Whether looking at an individual or an entire ecosystem, the structural logic remains consistent, allowing the system to grow efficiently without requiring a central architect. [ 1 , 2 , 3 ] Decentralized Connection (The Rhizome): While fractals supply the shape of the repeating units, the rhizome provides the interconnectivity . Rhizomatic systems, popularized in philosophy by Gilles Deleuze a...