FBG-1 is a measurement-first morphology filter derived from iterative stability logic (Mandelbrot-style boundedness) and expressed as a finite shape grammar. It collapses infinite geometric possibilities into a small set of survivable primitives—nodes, filaments, branches, spirals, and nested copies—plus assembly rules that concentrate adaptation at boundaries while preserving calm interiors. The framework is used to guide design choices in boundary-dominant systems (e.g., passive fluid interfaces, modular habitat scaffolds, and adaptive infrastructure), where robustness depends on phase coherence under repeated forcing rather than on static optimal forms. Keywords Fractals; Mandelbrot set; morphology; shape grammar; boundary dynamics; resonance; iterative stability; scale invariance; phase coherence; attractors; self-organization; modular design; passive fluidics; ecological engineering; BioReef.

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Abstract

FBG-1 is a measurement-first morphology filter derived from iterative stability logic (Mandelbrot-style boundedness) and expressed as a finite shape grammar. It collapses infinite geometric possibilities into a small set of survivable primitives—nodes, filaments, branches, spirals, and nested copies—plus assembly rules that concentrate adaptation at boundaries while preserving calm interiors. The framework is used to guide design choices in boundary-dominant systems (e.g., passive fluid interfaces, modular habitat scaffolds, and adaptive infrastructure), where robustness depends on phase coherence under repeated forcing rather than on static optimal forms. Keywords Fractals; Mandelbrot set; morphology; shape…

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Topics & keywords

Keywords
  • Modular design
  • Robustness (evolution)
  • Iterative and incremental development
  • Boundary (topology)
  • Filter (signal processing)
  • Control theory (sociology)
  • Forcing (mathematics)
  • Stability (learning theory)
UN Sustainable Development Goals
  • Industry, innovation and infrastructure
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