We cannot create living order only by concentrating on appearance; we must characterize the geometry that comes from living process.

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• 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.claim0.875
  Beauty and geometry are the talisman by which a living process is known.
• The kind of order that occurs in living structure has a complexity not usually describable by drawings or by architectural images.claim0.855
  Emphasizes the non-pictorial, process-dependent nature of living order.
• All living processes use unfolding to create geometric order.claim0.852
  Universal claim extending the unfolding-and-geometry principle beyond buildings to all living systems
• We hypothesize that a similar 'brutal' and purely geometric process always occurs somewhere in other kinds of unfolding that generate living order — in poetry, dance, social structure, planning, and family relationships.hypothesis0.849
  Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
• The existence of living structure, as defined in The Nature of Order, requires modifications in our physical picture of the world, not only in the picture we have of architecture.claim0.847
  The closing claim of the chapter's mid-book appendix, asserting that the theory of centers has implications for physics.
• In the case of buildings, if the process is a living one, the fountain of geometrical order comes above all from building structure — columns, walls, beams, vaults — specifically from the aperiodic, tartan-like grids which form the abstract underpinning of the building structure.claim0.842
  Identifies the structural core and aperiodic grid as the primary source of geometric order in living building processes
• What seems like an imposition of geometry is necessary as a part of every living process.claim0.840
  The chapter's most expansive claim: geometric imposition is universal across all living processes, not just buildings
• Nature always produces living structure because it follows a process of unfolding wholeness; human designers can create non-living structure by violating this process.claim0.832
  Core distinction between natural and designed configurations, explaining why properties are ubiquitous in nature but rare in bad design.