the fifteen transformations

Same as wholeness‑preserving transformations, named explicitly by Alexander.

Neighborhood — ranked by edge-count

Frameworks (1)

framework

Generative Sequence for Building Structure
uses
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

Chapters (1)

chapter

Chapter 15: Emergence Of Formal Geometry
uses
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

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.

Fifteen Transformationsframework0.933
The system of fifteen specific transformation types, each corresponding to one of the fifteen properties, that together constitute all structure-preserving transformations.
15 transformationsframework0.823
The sequence of transformations from Book 1 that generate living structure, mentioned alongside the fifteen properties.
Each of the fifteen transformations designates one way in which a structure may be transformed into another structure, while increasing its life.quote0.815
Defines the role of the transformations in generating living structure.
The fifteen transformations provide us with a natural 'alphabet' of living process.claim0.801
Asserts that the fifteen structure-preserving transformations can serve as elementary units for generating living form.
The fifteen transformations provide the base transformations from which, in practice, all structure-preserving transformation are made.claim0.771
Assertion that the fifteen specific transformation types form a complete palette for all structure-preserving differentiation.
All eleven principles are, of course, embodiments of the fifteen transformations.claim0.764
States that the teaching principles directly instantiate the underpinning theory.
The fifteen transformations guarantee the appearance of orderly large and larger wholes with beautiful internal geometry; this is the secret of all living process.claim0.746
Strong assertion that the entire generative capacity of life in space reduces to repeated application of the fifteen transformations.
Contrast Transformationconcept0.746
A transformation that sharpens and increases the distinction between two types of centers, creating stronger polarity.