The fifteen transformations guarantee the appearance of orderly large and larger wholes with beautiful internal geometry; this is the secret of all living process.

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• The fifteen transformations provide us with a natural 'alphabet' of living process.claim0.855
  Asserts that the fifteen structure-preserving transformations can serve as elementary units for generating living form.
• Each of the fifteen transformations designates one way in which a structure may be transformed into another structure, while increasing its life.quote0.844
  Defines the role of the transformations in generating living structure.
• The fifteen properties are attributes of wholeness and appear naturally when one focuses on enhancing the whole through structure-preserving transformations.claim0.839
  Linking the fifteen properties to the process of seeking wholeness.
• The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.hypothesis0.835
• The fifteen transformations provide the base transformations from which, in practice, all structure-preserving transformation are made.claim0.829
  Assertion that the fifteen specific transformation types form a complete palette for all structure-preserving differentiation.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.819
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• The fifteen properties appear in nature as a direct result of repeated structure-preserving transformations unfolding the wholeness.claim0.818
  Interpretation that the geometric properties of living structure are not arbitrary but arise inevitably from the smooth unfolding process.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.809
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation