Roughly 2,000 long sequences, each containing ~20 smaller snippets, thus about 40,000 short sequences could completely transform the built environment.

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

• Half a dozen sequences taken together can have a very big effect on the environment and show a wholly new way of conceiving space.claim0.810
  Highlights the emergent power of even a small network of interlinked sequences.
• Less than a trillionth of all the 6 × 10^23 possible sequences actually work well enough to allow smooth unfolding.quote0.783
  Alexander's striking quantification of the rarity of good sequences, underscoring why finding the right order is so difficult and precious.
• For a given task, the number of all sequences which work is tiny by comparison with the huge number of all possible sequences; less than a trillionth of all 6 × 10^23 possible sequences actually work well enough.claim0.780
  A combinatorial argument that good sequences are astronomically rare, emphasizing the difficulty of discovery.
• If the evolution of the natural world follows a step-by-step process in which each step is structure-preserving, then the fifteen properties will appear more and more often, and the degree of life in the wholeness will increase steadily.hypothesis0.739
  Conditional statement linking smooth unfolding to the progressive emergence of the fifteen properties and increased life.
• The fifteen transformations provide the base transformations from which, in practice, all structure-preserving transformation are made.claim0.733
  Assertion that the fifteen specific transformation types form a complete palette for all structure-preserving differentiation.
• If the snippet works well, it may be adopted and spread to new construction methods, even in the context of different attitudes.hypothesis0.731
  Conditional prediction about the self-propagation of small effective sequences.
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.729
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• Five-story apartment building in Tokyo complements site wholeness through 50 structure-preserving steps that accentuate Y-configuration, positive space, levels of scale, and sunny southern orientation.finding0.729
  Architectural example of harmony-seeking computation as iterative process where each design step strengthens latent structural features of the site.