Structure-preserving transformations are the secret of all artistic and constructive human-inspired acts of creation.

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

• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.876
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.
• A structure-preserving transformation both preserves existing structure and enhances the whole by developing latent centers.claim0.863
  Resolution of the apparent conflict between preserving and enhancing.
• Structure-preserving transformations always yield surprising, unexpected results.claim0.852
  Assertion that faithfully following the process produces novelty, not mere conservation.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.846
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• Sequence of all structure-preserving transformations almost always beautiful; a single bad transformation causes ugliness and is hard to recover fromfinding0.834
  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.
• Structure-preserving means preserving wholeness via observer's ability to see the whole, not arbitrary mathematical transformationclaim0.831
• 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.
• Every wholeness carries a latent structure that we must feel to perform structure-preserving transformations.claim0.828