Structure-Preserving Paths

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

• Structure-Preserving Transformationsconcept0.826
  Chapter 2 of Volume 2 of The Nature of Order, introducing structure-preserving transformations as the mechanism by which living structure arises naturally through unfolding wholeness.
• structure-preserving process (unfolding)concept0.826
  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.
• Structure-preserving means preserving wholeness via observer's ability to see the whole, not arbitrary mathematical transformationclaim0.793
• A structure-preserving transformation both preserves existing structure and enhances the whole by developing latent centers.claim0.784
  Resolution of the apparent conflict between preserving and enhancing.
• Structure-preserving transformations always yield surprising, unexpected results.claim0.770
  Assertion that faithfully following the process produces novelty, not mere conservation.
• Representation-based Pathconcept0.768
  The path in activation space derived by fitting the representation manifold, used to steer along the geometric structure of internal representations.
• How can a structure-preserving process both preserve and enhance the whole? How can these two apparently different ideas be reconciled?question0.765
  Central theoretical puzzle that latent centers resolve.
• Structure-preserving transformations govern the emergence of all structure in nature, not just in buildings and art.hypothesis0.765
  Alexander's conjecture extending the unfolding framework from architecture to natural phenomena generally.