claim

active

claim:the-nearly-identical-detailed-structure-on-all-six-arms-of-a-single-snow-crystal-is-not-explained-by-any-present-diffusion-aggregation-model-implying-non-local-coordination

The nearly identical detailed structure on all six arms of a single snow crystal is not explained by any present diffusion-aggregation model, implying non-local coordination.

Alexander's use of snowflake arm symmetry as evidence that something beyond local mechanics is required in morphogenesis

Neighborhood — ranked by edge-count

Findings (1)

finding

The nearly identical detailed sub-symmetries and sub-sub-symmetries on all six arms of individual snow crystals are not explained by any present diffusion-aggregation model.
restatessupports
Key finding establishing a gap in current morphogenetic explanation that Alexander's principle addresses

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.

Assembly of quasicrystals requires examining the state of the pattern many atoms away, meaning global structure must guide local assembly — a clear case of non-local action.claim0.773
Penrose's claim, endorsed by Alexander, that quasicrystals demonstrate non-local causation in morphogenesis
On a growing crystal, incoming molecules preferentially attach where binding energy is greatest, causing plane faces to perpetuate themselves and wholeness to be preserved in crystal growth.finding0.756
Physical chemistry finding illustrating a purely local mechanism that nonetheless produces global structure preservation
In nature, unfolding often consists of a process that establishes local symmetries one by one.claim0.755
Connects biological morphogenesis to architectural process.
Echoes of similar proportions and angles appear throughout any natural system due to uniform underlying processes, giving a consistent character to different parts.claim0.751
Local symmetries are pervasive in nature (sun, trees, crystals, bodies) and are associated with minimum energy and least-action principles.claim0.749
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.hypothesis0.745
Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
Correspondence analysis reveals four major clusters of fifteen properties with overlapping membership.finding0.744
Schechtman and colleagues discovered naturally occurring metallic alloys with long-range orientational order and no translational symmetry — quasicrystals — confirming Penrose's tiling patterns in nature.finding0.739
Empirical discovery cited as evidence that non-local geometric order appears in physical matter

Restated by (1)

cosine ≥ 0.90

Other entities that say roughly the same thing. May be merge candidates or independent restatements across papers.

finding
The nearly identical detailed sub-symmetries and sub-sub-symmetries on all six arms of individual snow crystals are not explained by any present diffusion-aggregation model.