The key thing about all LIVING sequences is that they generate centers in an order which lets each center unfold naturally from the centers laid down before.

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

• Each living center has life to the extent it is linked to other centers; likewise, sequences generating living centers are interdependent.claim0.884
  Establishes the necessity of the network of sequences.
• 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.claim0.837
  Central interpretive claim of the chapter, asserting that living structure is an effortless natural outcome of structure-preserving transformations.
• My claim in Book 2 is that 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.quote0.833
  Central thesis statement of the chapter, encapsulating the core idea that living structure arises effortlessly from structure-preserving transformations.
• To achieve living structure, one must prune and re-arrange until every single part, every part of every part, and every part between parts are all living centers.claim0.828
  Maxim for the demanding effort of genuinely center-based design.
• The step-by-step evolution of living centers, in a progressive differentiating process, is a biological necessity — an essential part of the adaptation of a complex system.claim0.822
  Claims that unfolding is not a stylistic choice but a biological requirement for adaptive buildings.
• When centers are being created, a high proportion of them are locally symmetrical; living process is, in part, a process of creating local symmetries.claim0.821
• Living structure comes into being effortlessly simply as a result of following the sequence.claim0.821
  Alexander asserts that when the generative sequence is correctly ordered, the form unfolds without struggle—a central thesis of the chapter.
• At each step, doing the simplest thing that can be done to intensify existing centers will produce living structure.hypothesis0.816
  Operational hypothesis equating simplicity of step with emergence of life.