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finding:positive-space-appears-in-multiple-clusters-in-both-4-and-5-cluster-groupings

POSITIVE SPACE appears in multiple clusters in both 4 and 5 cluster groupings

Observation that property 'Positive Space' appears in clusters 2 and 4 (4-cluster) and 3 and other (5-cluster).

Source paper

extracted_from

Understanding Christopher Alexander's Fifteen Properties via Visualization and Analysis

(2014) · Iba, Takashi · Sakai, Shingo

Neighborhood — ranked by edge-count

Concepts (1)

concept

Positive Space
about
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

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.

GOOD SHAPE appears in multiple clusters in both 4 and 5 cluster groupingsfinding0.864
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).
Cluster 2 (4-cluster): LOCAL SYMMETRIES, THE VOID, LEVELS OF SCALE, GOOD SHAPE, POSITIVE SPACEfinding0.836
Second cluster of the four-cluster grouping, containing properties 7, 13, 1, 6, 5.
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).finding0.817
Statistical grouping of properties based on dependency patterns, enabling deeper understanding of their coherence and interaction.
Cluster 4 (4-cluster): SIMPLICITY AND INNER CALM, ECHOES, GRADIENTS, POSITIVE SPACEfinding0.806
Fourth cluster of the four-cluster grouping, containing properties 14, 12, 10, 5.
Positive space is common in natural wholes where both figures and interstitial spaces form positive shapes, as in bubbles, crazing, and crystal growth.claim0.787
Correspondence analysis reveals four major clusters of fifteen properties with overlapping membership.finding0.776
Properties in each cluster appear to be similar or interrelatedclaim0.776
Interpretive claim that the statistically derived clusters reflect conceptual similarity or interdependence among the properties.
Cluster 3 (4-cluster): BOUNDARIES, STRONG CENTERS, DEEP INTERLOCK AND AMBIGUITYfinding0.775
Third cluster of the four-cluster grouping, containing properties 3, 2, 8.