When the rule of structure-preserving transformation is violated, a kind of cancer occurs and harm is done.

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

• Structure-preserving transformations always yield surprising, unexpected results.claim0.826
  Assertion that faithfully following the process produces novelty, not mere conservation.
• 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.
• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.818
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.
• Sequence of all structure-preserving transformations almost always beautiful; a single bad transformation causes ugliness and is hard to recover fromfinding0.816
  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 transformations are the secret of all artistic and constructive human-inspired acts of creation.claim0.807
  Claim that the same process that creates natural living structure also underlies human artistic and architectural creativity.
• The problem of structure-destroying transformations applies both to a building's relation to its surroundings and to the interior structure of the building itself.claim0.804
  Scope of the problem.
• Any part of the world we build will have life if it is created by structure-preserving transformations, and will not have life if it is not created by structure-preserving transformations.claim0.801
  The central thesis of the chapter.
• The existence of structure-destroying transformations as a social norm is linked to a breakdown in the perception of wholeness itself.claim0.797
  Causal link between perception and destruction.