Every wholeness carries a latent structure that we must feel to perform structure-preserving transformations.

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.hypothesis0.883
• The genome contains a latent wholeness — capable of generating the wholeness of the organism — which itself evolves through structure-preserving transformations analogous to direct wholeness unfolding.claim0.858
  Alexander's extension of unfolding wholeness to evolutionary processes where the evolving entity is the genetic structure rather than the organism's form directly
• A structure-preserving transformation both preserves existing structure and enhances the whole by developing latent centers.claim0.852
  Resolution of the apparent conflict between preserving and enhancing.
• Structure-preserving transformations that continually modify wholeness slowly cause space to be filled with unfolded I-like centers.claim0.850
  Proposition 3 of the Mid-Book Appendix; the claim linking the mathematical process of unfolding to the emergence of I-likeness in natural and built structures.
• Sequence of all structure-preserving transformations almost always beautiful; a single bad transformation causes ugliness and is hard to recover fromfinding0.839
  In laboratory studies, repeated structure-preserving transformations led to beautiful results, while a single structure-destroying step disrupted the unfolding and proved very difficult to repair.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.837
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.830
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.
• 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.