ReviewEntropy (Basel, Switzerland)2018
Characterization of Self-Assembled 2D Patterns with Voronoi Entropy.
Review in Entropy (Basel, Switzerland), 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- The Role of Information Entropy in Symmetry of Euclidean Polygons.Entropy (Basel, Switzerland) · 2026Article
- Extreme Values and Convergence of the Voronoi Entropy for 2D Random Point Processes and for Long-Range Order.Entropy (Basel, Switzerland) · 2026Article
- Article
- Shannon Entropy of Ramsey Graphs with up to Six Vertices.Entropy (Basel, Switzerland) · 2023Article
- Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings.Entropy (Basel, Switzerland) · 2023Article
- Entropy as a Geometrical Source of Information in Biological Organizations.Entropy (Basel, Switzerland) · 2022Article
- From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns.Entropy (Basel, Switzerland) · 2022Review
- Structure-Based Analysis of Protein Cluster Size for Super-Resolution Microscopy in the Nervous System.Biomedicines · 2022Article
- Effect of VN and TiBMaterials (Basel, Switzerland) · 2021Article
- Scaling in Colloidal and Biological Networks.Entropy (Basel, Switzerland) · 2020Review
- Clustering and self-organization in small-scale natural and artificial systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2020Article
- Entropy, Information, and Symmetry: Ordered is Symmetrical.Entropy (Basel, Switzerland) · 2019Article
- Formation of Hierarchical Porous Films with Breath-Figures Self-Assembly Performed on Oil-Lubricated Substrates.Materials (Basel, Switzerland) · 2019Article
- In Search of a Green Process: Polymeric Films with Ordered Arrays via a Water Droplet Technique.Polymers · 2019Review
- Entropy and the Tolman Parameter in Nucleation Theory.Entropy (Basel, Switzerland) · 2019Article
- Symmetry and Shannon Measure of Ordering: Paradoxes of Voronoi Tessellation.Entropy (Basel, Switzerland) · 2019Article
- Is the Voronoi Entropy a True Entropy? Comments on "Entropy, Shannon's Measure of Information and Boltzmann's H-Theorem",Entropy (Basel, Switzerland) · 2019Article
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Authors and funding
8 authors.
Funding
Abstract
The Voronoi entropy is a mathematical tool for quantitative characterization of the orderliness of points distributed on a surface. The tool is useful to study various surface self-assembly processes. We provide the historical background, from Kepler and Descartes to our days, and discuss topological properties of the Voronoi tessellation, upon which the entropy concept is based, and its scaling properties, known as the Lewis and Aboav-Weaire laws. The Voronoi entropy has been successfully applied to recently discovered self-assembled structures, such as patterned microporous polymer surfaces obtained by the breath figure method and levitating ordered water microdroplet clusters.
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