The places shown are living structures because they have this character (coherence, roughness, humanity).

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

• The structure of living centers appears in natural things — snowdrops, waves, clouds, mountains, foxes, grains of sand — and these too resemble the human self, requiring that there be a deep connection under the surface.claim0.841
  Alexander's argument that self-likeness in natural forms cannot be explained by artistic intention alone, requiring Proposition 2 for theoretical coherence.
• Life and living structure will appear in the world inevitably because the mathematical way space gives rise to structure necessarily reinforces wholeness as part of its most normal evolution.claim0.818
  Alexander's strongest ontological claim: living structure is not probabilistically improbable but mathematically necessary given the principle of unfolding wholeness
• Buildings made with an eye to the past will most often fail to have living structure, because the process of historical reproduction somehow turns vivid, living structure sour.claim0.815
  Argues that copying historical forms does not produce living structure.
• Uniqueness is a necessary aspect of living structure.claim0.813
  Strong claim that living structure cannot exist without every part being unique.
• The individuality of every part and every place is a structural characteristic of all living tissue, in leaves and rocks and water, as in human streets and dwellings IF they have their life.claim0.811
  Universality claim: uniqueness at every scale is a hallmark of all living systems
• The kind of order that occurs in living structure has a complexity not usually describable by drawings or by architectural images.claim0.808
  Emphasizes the non-pictorial, process-dependent nature of living order.
• The intricate and beautiful structure of living centers comes about naturally, and most of the time without effort, as a result of the repeated application of structure-preserving transformations to the wholeness which exists.claim0.808
  Central interpretive claim of the chapter, asserting that living structure is an effortless natural outcome of structure-preserving transformations.
• Living structure might even be defined as 'that which pleases us'—that which truly pleases us.claim0.807
  A proposed operational definition of living structure in terms of genuine pleasure.