finding

active

finding: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

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.

The geometric demonstration that asymmetrical subdivision with boundary bands creates more living structure

Neighborhood — ranked by edge-count

Claims (2)

claim

There cannot be profound order in the building unless these middle-range entities exist.
supports
Strong necessary-condition claim: middle-range entities are prerequisite for profound building order
It is, indeed, this pattern of the middle-sized entities, which most strongly gives overall geometric order to the building. Without it, a building is very unlikely to be beautiful.
supports
Identifies the pattern of middle-range entities as the primary source of overall geometric order and beauty

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.

When a room is not rectangular, it will usually be a rectangle modified by the addition or insertion of other centrally symmetric components.claim0.816
Refinement of the shape invariant.
The act of division, creating upper and lower zones, determining proportions of what lies below and what lies above, makes an intervention in the potential field that is as profound as any other act of creation.claim0.786
Raises spatial division to a foundational creative gesture.
Contrast, instead of separating things, brings them together when used to help centers become alive; contrast that fails to create deeper feeling is merely accidental or eye-catchingclaim0.784
Claim distinguishing good contrast (Shaker schoolroom, which unifies) from bad contrast (glaring lobby staircase, which separates)
We hypothesize that a similar 'brutal' and purely geometric process always occurs somewhere in other kinds of unfolding that generate living order — in poetry, dance, social structure, planning, and family relationships.hypothesis0.783
Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
Even when a room contains major asymmetry, the composition of space will be such as to create a combination of locally symmetric centers.claim0.777
How asymmetry can still be alive.
The deep nature of space appears to be so profound that just the geometric unfolding, when done properly, leads to results which make sense from an engineering point of view.claim0.777
The mystery that beautiful geometry often yields good structural behavior is acknowledged but not yet fully explained mathematically.
In general, the geometry will be created by differentiation, not by addition or accretion; the parts are given their dimensions by differentiating operations within the spatial shell.claim0.776
A formal principle of the living process that uniqueness emerges from successive differentiation.
Make every effort to allow the value of the indoor space—the rooms' tranquility, geometry, peacefulness—as much weight, money, and effort as the outdoors.claim0.775
Corrective to the common neglect of interior quality.