Isometries (Distance-Preserving Transformations)

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

• isometryconcept0.778
  A distance-preserving transformation: translation, rotation, reflection, glide-reflection
• Structure-Preserving Transformationsconcept0.767
  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.
• Isomerismconcept0.767
  Property where molecules with identical atoms arranged differently exhibit different properties and remain stable due to energy barriers; model for mutation.
• Structure-preserving transformations always yield surprising, unexpected results.claim0.758
  Assertion that faithfully following the process produces novelty, not mere conservation.
• Representational Isomorphismconcept0.735
  The desired property of a bidirectional, behavior-preserving mapping between model representations; the goal MAS pursues.
• The process of getting the ornament from the space works by structure-preserving transformationsclaim0.729
  The design of the floor, color, and geometry all arose as a result of structure-enhancing transformations in the place.
• The fifteen transformations provide the base transformations from which, in practice, all structure-preserving transformation are made.claim0.728
  Assertion that the fifteen specific transformation types form a complete palette for all structure-preserving differentiation.
• Experimental process of judging structure-preserving transformationsmethod0.728
  A method described in chapter 2 of Vol 2, used to evaluate whether a proposed action enhances or damages the existing wholeness.