Why do the fifteen properties occur in nature?

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• The fifteen properties appear in nature because they are structural complements to the formation of stable and semistable systems, contributing to coherence and stability.hypothesis0.878
• The fifteen properties appear in nature as a direct result of repeated structure-preserving transformations unfolding the wholeness.claim0.869
  Interpretation that the geometric properties of living structure are not arbitrary but arise inevitably from the smooth unfolding process.
• The fifteen properties appear again and again throughout nature at all scales, from subatomic particles to galaxies.claim0.849
  A summary claim supported by the many natural examples for each property.
• The fifteen properties come into existence naturally as a result of the structure-preserving process.claim0.848
  Claim that the properties are not applied artificially but are consequences of correct unfolding.
• What are the interactions among the fifteen properties?question0.840
  The central research question driving the correspondence analysis.
• The fifteen properties are not merely visual features which appear in works of art. ... they must be fundamental to the appearance of life in all centers that are generated or created in any system.quote0.831
  Foundation of the chapter's argument that the properties transcend aesthetics and are fundamental to all physical reality.
• 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.claim0.826
  Justification for using the fifteen transformations as a foundation.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.826
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation