Good and functional structures achieve their quality from a conscious effort by the maker to make the geometric field of centers.

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• The structure which is created by a feeling for centers and by a conscious and deliberate aim towards the feeling of the whole, will often turn out to be an efficient structure.claim0.821
  Reiterated empirical observation from twenty years of practice.
• Good shape is built up from the simplest elementary figures; what seem like complex centers are made of simpler centers which are also alive, and these simpler centers give the complex ones their lifeclaim0.818
  Claim that even apparently organic or floral designs derive their life from geometrically simple components (triangles, rhombuses, hexagons) that allow complex cross-relationships
• 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.claim0.817
  Central interpretive claim of the chapter, asserting that living structure is an effortless natural outcome of structure-preserving transformations.
• Good engineering structure follows, directly or indirectly, from the use of living process.claim0.809
  Core claim of the chapter, supported by multiple examples and findings.
• Good shape arises in many natural systems such as leaves, bones, and Chladni patterns, where a strong center is intensified by minor centers.claim0.805
• A structure is truly generated, and perceived as having life, only when it has unfolded from a nice, beautiful sequence of differentiations.claim0.802
  The most profound claim of the chapter: the niceness of the sequence is directly perceptible in the built form and is the ultimate source of living quality.
• The beauty and force of any building arises always, and in its entirety, from the deep functional nature of the centers that have been created.claim0.802
  Core principle tying beauty directly to deeply functional centers.
• If it is a living process, it will create beautiful geometric structure. If it does not create beautiful structure, it cannot truly be a living process.claim0.801
  Beauty and geometry are the talisman by which a living process is known.