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concept:aperiodic-grid

Aperiodic Grid

A non-regular geometric framework that brings coherent order to built form, emerging naturally from a living process.

Neighborhood — ranked by edge-count

Frameworks (1)

framework
  • A repeatable sequence of steps using the fifteen transformations to build a highly regular aperiodic grid that fits decisions about volume and interior spaces; a general method for generating building form

Methods (1)

method
  • The technique of drawing a freehand grid with differentiated spacing — thick and thin bands in both directions — to fit structure organically to conceived spaces; a sharpening process applied to roughly conceived internal volumes

Concepts (5)

concept
  • Levels of Scale
    implements
    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)
  • Boundaries
    implements
    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
  • The property that living repetition is not simple repetition but alternation where a second system of centers repeats in parallel, creating counterpoint; what is really happening is oscillation, like waves
  • Roughness
    implements
    The property that living things have a certain ease and morphological roughness which is an essential structural feature, not an accident; the seemingly rough arrangement is more precise because it comes from careful guarding of essential centers, requiring egolessness and abandon
  • The rhythmic, varied spacing of structural elements — unequal yet coherent — that gives a building its subtle harmony and profound feeling through strength of definiteness

Artifacts (2)

artifact
  • Two-story college building on the Eishin campus (1987); a firm precise rectangle whose interior subdivision via aperiodic grid creates lecture halls, classrooms, and an arcade with moment-resisting diaphragm ceiling beams
  • Linz Cafe
    implements
    Small cafe built in Linz, Austria (~1980); exemplifies the aperiodic grid method — a perfect grid with organically differentiated spacing fitted to the nature of conceived spaces

Chapters (1)

chapter
  • The working unit of extraction; argues that living structure in buildings requires a moment of almost brutal, simple, massive geometric order imposed via the aperiodic grid, and that this geometric imposition is a necessary part of every living process

Conceptual bridges

2-hop · via this concept's ideas

Where ideas in this concept connect to the rest of the corpus — the same concept, an analogy, or a restatement elsewhere.

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.