All eleven principles are, of course, embodiments of the fifteen transformations.

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.claim0.842
  Assertion that the fifteen specific transformation types form a complete palette for all structure-preserving differentiation.
• The fifteen transformations provide us with a natural 'alphabet' of living process.claim0.837
  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.quote0.827
  Defines the role of the transformations in generating living structure.
• The fifteen transformations guarantee the appearance of orderly large and larger wholes with beautiful internal geometry; this is the secret of all living process.claim0.805
  Strong assertion that the entire generative capacity of life in space reduces to repeated application of the fifteen transformations.
• The sketches show precisely the kinds of forms which must in all likelihood follow from any program in which these fifteen transformations are progressively unfolded.claim0.788
  Asserts that the chapter's sketches represent the necessary geometric character of unfolded buildings.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.785
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.779
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation
• The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.hypothesis0.777