concept
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concept:boundaries

Boundaries

The property that living centers are formed and strengthened by boundaries which both separate and unite; the boundary must be of the same order of magnitude as the center being bounded and is itself made of centers

Neighborhood — ranked by edge-count

Papers (1)

paper

Frameworks (3)

framework
  • Fifteen Properties of Living Structure
    associated_withimplements
    The set of geometric properties that appear in all living structure: levels of scale, strong centers, boundaries, echoes, gradients, deep interlock and ambiguity, local symmetries, roughness, inner calm, not separateness, and others.
  • Eleven Color Properties
    associated_with
    The set of eleven empirical properties that cause inner light in color, analogous to the fifteen geometric properties. They include: Hierarchy of Colors, Colors Create Light Together, Contrast of Dark and Light, Mutual Embedding, Boundaries and Hairlines, Sequence of Linked Color Pairs, Families of Color, Color Variation, Intensity and Clarity of Individual Color, Subdued Brilliance, Color Depends on Geometry.
  • Eleven Morphological Invariants of Living Color
    implements
    A set of color qualities that emerge from the fundamental process, analogous to the fifteen properties; introduced in this chapter and elaborated in Book 4, chapter 7.

Communities (2)

community

Claims (1)

claim

Methods (1)

method
  • Subdivision Process
    implements
    The iterative process of cutting a whole into parts using asymmetry and thin boundary bands to introduce levels of scale and boundaries; a purely geometric process that creates more profound living form

Concepts (9)

concept
  • Boundary Transformation
    associated_withrelated_to
    A transformation that develops a thick boundary zone around a zone to intensify its coherence.
  • Positive Space
    associated_with
    The property that every bit of space swells outward, is substantial in itself, and is never the leftover from an adjacent shape; every single part of space has positive shape as a center with no amorphous meaningless leftovers
  • Strong Centers
    associated_with
    The property that living structures contain centers that are not merely blobs but strong, field-like centers that organize the space around them; every strong center is made of many other strong centers recursively
  • Structure-Preserving Transformations
    uses
    Chapter 2 of Volume 2 of The Nature of Order, introducing structure-preserving transformations as the mechanism by which living structure arises naturally through unfolding wholeness.
  • Living process
    uses
    A generative process that repeatedly applies the fundamental process to create uniqueness and belonging in the environment
  • Levels of Scale
    associated_with
    The property that living structures contain centers at a beautiful range of sizes at well-marked levels with definite jumps, where each level helps the next; jumps should not be too great (ideally 2:1 to 4:1, less than 10:1)
  • Not-Separateness
    associated_with
    The property that a living whole is at one with the world, not separate from it; the center melts into its surroundings, the boundary is fragmented or incomplete, and there is a profound connection rather than isolation—perhaps the most important property of all
  • Deep Interlock and Ambiguity
    associated_with
    The property that centers are hooked into their surroundings through intermediate centers that belong ambiguously to both, making it difficult to disentangle the center from its context and creating deeper unification
  • Aperiodic Grid
    implements
    A non-regular geometric framework that brings coherent order to built form, emerging naturally from a living process.

Chapters (3)

chapter
  • Chapter 5: Fifteen Fundamental Properties
    introduces
    The chapter that catalogs and analyzes the fifteen recurrent geometric properties found in systems that have life, connecting them to the deeper theory of centers and wholeness
  • Chapter 7: Color And Inner Light
    introduces
    The chapter from The Nature of Order, Vol. 4, exploring how color, through the phenomenon of inner light, provides a direct glimpse of the I (ground), and presenting the eleven color properties that structure that unity.
  • Always Making Centers
    mentions
    Chapter 10 of The Nature of Order, Vol 2, describing the process of creating living centers through differentiation and the fundamental process.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

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