Structure-preserving transformations ensure each unfolding step is coherence-preserving and responds to field state.

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

• If a structure-preserving unfolding process is applied to existing cultural wholeness, it can non-arbitrarily derive the patterns that should generate present and future environmentshypothesis0.837
  Alexander's retrospective hypothesis about how the pattern origin problem could have been solved twenty years earlier
• Structure-preserving transformations always yield surprising, unexpected results.claim0.837
  Assertion that faithfully following the process produces novelty, not mere conservation.
• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.836
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.832
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• structure-preserving process (unfolding)concept0.830
  The step-by-step method of making in which each act is consistent with and extends the existing wholeness; the core mechanism that generates living structure, described in Book 2.
• A structure-preserving transformation both preserves existing structure and enhances the whole by developing latent centers.claim0.825
  Resolution of the apparent conflict between preserving and enhancing.
• In every natural developmental sequence examined, each state follows without breaking structure from the state before, exhibiting smooth structure-preserving unfolding essentially without exception.claim0.825
  The empirical-observational claim grounded in the diverse case studies presented in the chapter
• The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.hypothesis0.818