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RESEARCH PAPER · Symmetry · 2021

Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling: Part I. Analysis of the Voronoi Diagrams

Edward Yu. Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval

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Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling: Part I. Analysis of the Voronoi DiagramsOriginalInformational Measure of Symmetry vs. Voronoi Entropy and Continuous Measure of Entropy of the Penrose Tiling. Part II of the “Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling”9Shannon (Information) Measures of Symmetry for 1D and 2D Shapes and Patterns6From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns9Fibonacci Sequences, Symmetry and Order in Biological Patterns, Their Sources, Information Origin and the Landauer Principle24On the Subset of Intermolecular Contacts Generating a Molecular Crystal: Topological Features of Organic Minerals15Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings8Voronoi Entropy as a Ligand Molecular Descriptor of Protein–Ligand Interactions11The Continuous Measure of Symmetry as a Dynamic Variable: A New Glance at the Three-Body Problem1Converting Tessellations into Graphs: From Voronoi Tessellations to Complete Graphs12Novel Differential Entropy-Based Approach for Delaunay Mesh Quality Assessment2Protección solar en edificaciones mediterráneas, Madrid, España: diseño con algoritmos e inteligencia artificial0Regularization of tessellation-based polyhedral models for robust and efficient finite element simulation of bioinspired composites1

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  1. Informational Measure of Symmetry vs. Voronoi Entropy and Continuous Measure of Entropy of the Penrose Tiling. Part II of the “Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling”

    Symmetry · 2021-11-10

    Edward Yu. Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval

    Read original paper ↗ ·

  2. Shannon (Information) Measures of Symmetry for 1D and 2D Shapes and Patterns

    Applied Sciences · 2022-01-21

    Edward Yu. Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval

    Read original paper ↗ ·

  3. From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns

    Entropy · 2022-06-08

    Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval, Oleg Gendelman, Edward Yu. Bormashenko

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  4. Fibonacci Sequences, Symmetry and Order in Biological Patterns, Their Sources, Information Origin and the Landauer Principle

    Biophysica · 2022-09-16

    Edward Yu. Bormashenko

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  5. On the Subset of Intermolecular Contacts Generating a Molecular Crystal: Topological Features of Organic Minerals

    Crystallography Reports · 2022-12-01

    A. M. Banaru, D. А. Banaru, Sergey M. Aksenov

    Read original paper ↗ ·

  6. Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings

    Entropy · 2023-01-02

    Edward Yu. Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval

    Read original paper ↗ ·

  7. Voronoi Entropy as a Ligand Molecular Descriptor of Protein–Ligand Interactions

    ACS Omega · 2023-11-27

    Sergey Shityakov, Aleksandr S. Aglikov, Екатерина Владимировна Скорб, Michael Nosonovsky

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  8. The Continuous Measure of Symmetry as a Dynamic Variable: A New Glance at the Three-Body Problem

    Symmetry · 2023-12-04

    Mark Frenkel, Shraga Shoval, Edward Yu. Bormashenko

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  9. Converting Tessellations into Graphs: From Voronoi Tessellations to Complete Graphs

    Mathematics · 2024-08-05

    Artem Gilevich, Shraga Shoval, Michael Nosonovsky, Mark Frenkel, Edward Yu. Bormashenko

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  10. Novel Differential Entropy-Based Approach for Delaunay Mesh Quality Assessment

    Lecture notes in mechanical engineering · 2025-01-01

    Emmanuele Barberi, Massimiliano Chillemi, Filippo Cucinotta, Felice Sfravara

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  11. Protección solar en edificaciones mediterráneas, Madrid, España: diseño con algoritmos e inteligencia artificial

    Revista Hábitat Sustentable · 2025-06-30

    Marcelo Fraile-Narváez

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  12. Regularization of tessellation-based polyhedral models for robust and efficient finite element simulation of bioinspired composites

    Advances in Engineering Software · 2026-03-18

    Md Jalal Uddin Rumi, Xiaowei Zeng

    Read original paper ↗ ·
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