Echoes of similar proportions and angles appear throughout any natural system due to uniform underlying processes, giving a consistent character to different parts.

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

• Echoes depend most deeply on the angles and families of angles prevalent in the design, not on superficial shape similarity; the deepest structural relationships create the family resemblanceclaim0.827
  Claim that echoes work through deep structural geometry—arrangement patterns like pairs of rectangles, diamonds containing circles—rather than mere visual similarity
• Individual mechanical explanations for each property are too specific to provide a general explanation for why living structure repeatedly appears across all domains.claim0.814
  Alexander's argument that case-by-case mechanical explanations fail to address the universal recurrence of living structure
• Families of color, like echoes, unify the composition by creating hidden similarity among all colors.claim0.813
• Alternating repetition appears in nature where secondary repeating centers are coherent, e.g., waves and troughs, stripes and spaces.claim0.808
• Levels of scale appear pervasively in natural systems such as trees, cells, rivers, mountain ranges, and galaxies.claim0.806
• The beautiful balance of endless repetition and endless variation, typical in almost all of nature, and typical of the greatest of the ancient artefacts, may be coming within our grasp once again.quote0.805
  Expresses the aspiration of the new production method to recover a natural quality of order.
• 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.hypothesis0.803
  Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
• ECHOES and NOT-SEPARATENESS are two of the properties which most strongly tie things together, and create this inner unity in them.claim0.802
  Two specific properties from the 15 Properties framework are identified as primary drivers of felt unity.