finding

active

finding:correspondence-analysis-reveals-four-clusters-of-related-properties-cluster-1-contrast-not-separateness-roughness-alternating-repetition-good-shape-cluster-2-local-symmetries-the-void-levels-of-scale-good-shape-positive-space-cluster-3-boundaries-strong-centers-deep-interlock-and-ambiguity-cluster-4-simplicity-and-inner-calm-echoes-gradients-positive-space

Correspondence analysis reveals four clusters of related properties: Cluster 1 (Contrast, Not-Separateness, Roughness, Alternating Repetition, Good Shape), Cluster 2 (Local Symmetries, The Void, Levels of Scale, Good Shape, Positive Space), Cluster 3 (Boundaries, Strong Centers, Deep Interlock and Ambiguity), Cluster 4 (Simplicity and Inner Calm, Echoes, Gradients, Positive Space).

Statistical grouping of properties based on dependency patterns, enabling deeper understanding of their coherence and interaction.

Source paper

extracted_from

Understanding Christopher Alexander's Fifteen Properties via Visualization and Analysis

(2014) · Iba, Takashi · Sakai, Shingo

Neighborhood — ranked by edge-count

Claims (1)

claim

Centers within a whole intensify each other, resulting in a profound and lively whole.
supports
Alexander's core mechanism explaining how the Fifteen Properties function to create living wholes.

Communities (3)

community

Alexander's centers as cross-domain framework
members_of
Mapping Christopher Alexander's 15 properties and center-recursion across bioelectric, digital, and experiential domains.
Alexander's 15 properties as operational framework
members_of
Correspondence analysis and clustering of Christopher Alexander's 15 design properties, operationalized as measurable dimensions for evaluating aliveness in architectural and LLM-generated responses.
Christopher Alexander's 15 properties clustering
members_of
Correspondence analysis reveals 4–5 structural clusters among Alexander's fifteen wholeness properties.

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.

Correspondence analysis reveals four major clusters of fifteen properties with overlapping membership.finding0.881
Cluster 2 (4-cluster): LOCAL SYMMETRIES, THE VOID, LEVELS OF SCALE, GOOD SHAPE, POSITIVE SPACEfinding0.867
Second cluster of the four-cluster grouping, containing properties 7, 13, 1, 6, 5.
Cluster 4 (4-cluster): SIMPLICITY AND INNER CALM, ECHOES, GRADIENTS, POSITIVE SPACEfinding0.848
Fourth cluster of the four-cluster grouping, containing properties 14, 12, 10, 5.
Cluster 3 (4-cluster): BOUNDARIES, STRONG CENTERS, DEEP INTERLOCK AND AMBIGUITYfinding0.846
Third cluster of the four-cluster grouping, containing properties 3, 2, 8.
Cluster 1 (4-cluster): CONTRAST, NOT-SEPARATENESS, ROUGHNESS, ALTERNATING REPETITION, GOOD SHAPEfinding0.844
First cluster of the four-cluster grouping, containing properties 9, 15, 11, 4, 6.
The fifteen properties form coherent clusters reflecting deep structural interdependencies rather than independent design principles.claim0.821
The features are often organized in geometrically-related clusters that share a semantic relationship.claim0.820
Decoder cosine similarity maps onto concept similarity.
POSITIVE SPACE appears in multiple clusters in both 4 and 5 cluster groupingsfinding0.817
Observation that property 'Positive Space' appears in clusters 2 and 4 (4-cluster) and 3 and other (5-cluster).