concept
active
concept:good-shapeGood Shape
The property that a good shape is a center made up of powerful intense centers which themselves have good shape; built up from elementary figures with high internal symmetries, bilateral symmetry, a well-marked center, compactness, and closure
Neighborhood — ranked by edge-count
Papers (1)
paper
Frameworks (3)
framework
- Fifteen Properties of Living Structureassociated_withimplementsThe 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.
- The system of fifteen specific transformation types, each corresponding to one of the fifteen properties, that together constitute all structure-preserving transformations.
- Alexander's structural framework for identifying living centers; referenced as analytical tool for comparing artworks
Communities (2)
community
- Fifteen Propertiesassociated_withmembers_of
- Christopher Alexandermembers_of
Claims (1)
claim
- Claim that even apparently organic or floral designs derive their life from geometrically simple components (triangles, rhombuses, hexagons) that allow complex cross-relationships
Concepts (5)
concept
- Good-Shape Transformationassociated_withrelated_toA transformation that intensifies products of alternating repetition by strengthening loosely formed shapes and giving more life to centers within them.
- Positive Spaceassociated_withThe 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
- 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 processusesA generative process that repeatedly applies the fundamental process to create uniqueness and belonging in the environment
- Local Symmetriesassociated_withThe property that living wholes contain many interlocking and overlapping local symmetries rather than overall symmetry; local symmetries act as glue holding space together, and their number predicts cognitive coherence
Chapters (2)
chapter
- 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
- Always Making CentersmentionsChapter 10 of The Nature of Order, Vol 2, describing the process of creating living centers through differentiation and the fundamental process.
Findings (1)
finding
- Observation that property 'Good Shape' is not exclusive to one cluster, appearing in clusters 1 and 2 (4-cluster) or 2 and 3 (5-cluster).
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Attributed to Winston Churchill, cited as common sense about environment-behavior.
- A computational design method based on shape rewriting rules, developed by George Stiny; noted as academic and not yet practically useful for living structure.
- A regulator that achieves effective control; defined implicitly by the theorem as one that is a model of the system.
- Opening question of the chapter.
- A set of evaluation criteria for AI assistants.
- Properties of a system that should increase credence that the system is conscious