If the fifteen properties' internal coherence is clarified through visualization and analysis, then they can be successfully applied beyond architecture to other domains.

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• The fifteen properties are the ways centers sustain each other's coherence, thereby contributing to the stability and robustness of natural systems.claim0.848
  Proposed as the reason the properties appear in functionally stable or semistable systems.
• How can the Fifteen Properties be meaningfully applied to domains beyond architecture and design?question0.843
  Motivating question suggesting that deeper understanding of property interactions would enable broader application of Alexander's framework.
• Combining visualization and statistical analysis enables deeper understanding of the fifteen properties and their interactions.claim0.832
• Combining visualization and analysis is useful to arrive at a deeper understanding of the Fifteen Properties.hypothesis0.829
  Authors' central hypothesis tested and supported through their illustration and correspondence analysis methodology.
• The fifteen properties appear in nature because they are structural complements to the formation of stable and semistable systems, contributing to coherence and stability.hypothesis0.819
• The fifteen properties are the very simplest things which can possibly be used as a basis for assembly of a living thing, and it is from simplicity that they ultimately derive.claim0.815
  Justification for using the fifteen transformations as a foundation.
• The fifteen properties are fundamental to the existence of wholeness and thus to all physical structures, not merely visual features of artifacts.claim0.815
  The chapter's central thesis, arguing that the properties are necessary manifestations of wholeness in any generated system.
• The fifteen properties form coherent clusters reflecting deep structural interdependencies rather than independent design principles.claim0.813