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finding:alternation-of-squares-and-rectangles-was-superior-to-simple-checkerboard-for-martinez-floor

Alternation of squares and rectangles was superior to simple checkerboard for Martinez floor

In pattern trials, alternating square and rectangular elements felt more harmonious than a plain checkerboard.

Neighborhood — ranked by edge-count

Claims (1)

claim

The process of getting the ornament from the space works by structure-preserving transformations
supports
The design of the floor, color, and geometry all arose as a result of structure-enhancing transformations in the place.

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.

Diagonal patterns worked best for Martinez main room floorfinding0.821
During lattice-strip testing, grid patterns parallel to walls jarred, while diagonal patterns harmonized with that specific room.
Optimal squares 16-18 inches, rectangles 5-6 inches wide for Martinez floorfinding0.782
Through stick and mockup testing, these dimensions gave the best fit in the room's feeling.
Color proportion 57% middle red, 40% very pale yellow, 3% strong blue yielded freshness and spring-like quality for Martinez floorfinding0.759
After sliding paper swatches, the exact proportions that made the balance just right were discovered; any deviation destroyed the inner light.
Checkerboard circuit trained on 16x16 grid successfully generalizes to 64x64 grid with 4x more time stepsfinding0.746
Grid scaling generalization result demonstrating boundary-size invariance
In a controlled geometric comparison, subdividing a rectangle asymmetrically with a thin band of space between the four resulting rooms produces a more profound form — with more levels of scale, boundaries, and centers — than simply cutting it into four equal parts.finding0.744
The geometric demonstration that asymmetrical subdivision with boundary bands creates more living structure
Checkerboard pattern formation exhibits directional propagation from bottom-left to top-right despite no built-in directional bias in the modelfinding0.735
Emergent property observed in checkerboard pattern generation
Alternating repetition is a natural way to embellish a flat rectangular panelclaim0.733
This principle comes straight from structure-preserving ideas; the latent morphological field points to such structures.
When a room is not rectangular, it will usually be a rectangle modified by the addition or insertion of other centrally symmetric components.claim0.729
Refinement of the shape invariant.