ArticleNature communications2019
Universal hidden order in amorphous cellular geometries.
Article in Nature communications, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
10 citing papers in PubMed.
- Article
- Signatures of structural disorder in the developingPRX life · 2024Article
- Article
- Modular design workflow for 3D printable bioresorbable patient-specific bone scaffolds: extended features and clinical validation.Frontiers in bioengineering and biotechnology · 2024Article
- Entropy as a Geometrical Source of Information in Biological Organizations.Entropy (Basel, Switzerland) · 2022Article
- Stone-Wales defects preserve hyperuniformity in amorphous two-dimensional networks.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Design of nearly perfect hyperuniform polymeric materials.The Journal of chemical physics · 2020Article
- Disordered hyperuniformity in two-dimensional amorphous silica.Science advances · 2020Article
- Entropy Balance in the Expanding Universe: A Novel Perspective.Entropy (Basel, Switzerland) · 2019Article
- EPhysical review researchArticle
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
10 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Partitioning space into cells with certain extreme geometrical properties is a central problem in many fields of science and technology. Here we investigate the Quantizer problem, defined as the optimisation of the moment of inertia of Voronoi cells, i.e., similarly-sized 'sphere-like' polyhedra that tile space are preferred. We employ Lloyd's centroidal Voronoi diagram algorithm to solve this problem and find that it converges to disordered states associated with deep local minima. These states are universal in the sense that their structure factors are characterised by a complete independence of a wide class of initial conditions they evolved from. They moreover exhibit an anomalous suppression of long-wavelength density fluctuations and quickly become effectively hyperuniform. Our findings warrant the search for novel amorphous hyperuniform phases and cellular materials with unique physical properties.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.