The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.

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

• The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.hypothesis0.868
• Each of the fifteen transformations designates one way in which a structure may be transformed into another structure, while increasing its life.quote0.848
  Defines the role of the transformations in generating living structure.
• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.847
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.
• Structure-preserving transformations are the secret of all artistic and constructive human-inspired acts of creation.claim0.846
  Claim that the same process that creates natural living structure also underlies human artistic and architectural creativity.
• Living structure can only be created by structure-preserving transformations.claim0.837
  A strong normative claim from Book 2 recapitulated in the appendix as a verifiable and surprising conclusion.
• The fifteen properties come into existence naturally as a result of the structure-preserving process.claim0.837
  Claim that the properties are not applied artificially but are consequences of correct unfolding.
• Every wholeness carries a latent structure that we must feel to perform structure-preserving transformations.claim0.837
• A structure-preserving transformation both preserves existing structure and enhances the whole by developing latent centers.claim0.837
  Resolution of the apparent conflict between preserving and enhancing.