Each of the fifteen transformations designates one way in which a structure may be transformed into another structure, while increasing its life.

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 the base transformations from which, in practice, all structure-preserving transformation are made.claim0.865
  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.claim0.848
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• The fifteen transformations provide us with a natural 'alphabet' of living process.claim0.847
  Asserts that the fifteen structure-preserving transformations can serve as elementary units for generating living form.
• The fifteen transformations guarantee the appearance of orderly large and larger wholes with beautiful internal geometry; this is the secret of all living process.claim0.844
  Strong assertion that the entire generative capacity of life in space reduces to repeated application of the fifteen transformations.
• All eleven principles are, of course, embodiments of the fifteen transformations.claim0.827
  States that the teaching principles directly instantiate the underpinning theory.
• the fifteen transformationsconcept0.815
  Same as wholeness‑preserving transformations, named explicitly by Alexander.
• The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.hypothesis0.809
• Fifteen Transformationsframework0.806
  The system of fifteen specific transformation types, each corresponding to one of the fifteen properties, that together constitute all structure-preserving transformations.