Concepedia

Wallpaper Groups

Wallpaper Groups is a mathematical classification of two-dimensional repetitive patterns based on their symmetries, distinguished by comprising one of seventeen distinct symmetry types that categorize all possible discrete and transitive groups of isometries in the Euclidean plane.

37

Publications

1.9K

Citations

81

Authors

66

Institutions

Publications per year

2017–2026

13

Variants

Plane Crystallographic GroupsPlane Symmetry Groups

Parents

Publications

37

A computational model for periodic pattern perception based on frieze and wallpaper groups

Yanxi Liu, Robert T. Collins, Yanghai Tsin · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2004 · 257 citations

, , +17

Wallpaper fermions and the nonsymmorphic Dirac insulator

Science · 2018 · 164 citations · Full text

, , +16

Twisted bulk-boundary correspondence of fragile topology

Zhida Song, Luis Elcoro, B. Andrei Bernevig · Science · 2020 · 159 citations · Full text

, , +16

Topological crystalline materials: General formulation, module structure, and wallpaper groups

Ken Shiozaki, Masatoshi Sato, Kiyonori Gomi · Physical review. B./Physical review. B · 2017 · 142 citations · Full text

, , +17

Planar wallpaper group metamaterials for novel terahertz applications

Chris Bingham, Hu Tao, Xian‐Liang Liu et al. · Optics Express · 2008 · 141 citations · Full text

, , +17

1–5 of 37

Authors

81

  1. YL
    Yanxi Liu

    Carnegie Mellon University, United States

    5 publications · 437 citations

    5

    h-index

  2. RT
    Robert T. Collins

    Pennsylvania State University, United States

    4 publications · 322 citations

    4

    h-index

  3. AD
    Alasdair D. F. Clarke

    University of Aberdeen, United Kingdom

    3 publications · 147 citations

    3

    h-index

  4. PN
    P. Nagabhushan

    University of Mysore, India

    2 publications · 61 citations

    2

    h-index

  5. NU
    Nagappa U. Bhajantri

    University of Mysore, India

    2 publications · 61 citations

    2

    h-index

1–5 of 81

Institutions

66

  1. Carnegie Mellon University

    Pittsburgh, United States

    3 h-index

    7 publications

    867 citations

  2. Princeton University

    Princeton, United States

    3 h-index

    8 publications

    1.2K citations

  3. Collaborative Innovation Center of Advanced Microstructures

    Nanjing, China

    3 h-index

    3 publications

    106 citations

  4. Boston University

    Boston, United States

    2 h-index

    5 publications

    537 citations

  5. Max Planck Institute of Microstructure Physics

    Halle, Germany

    2 h-index

    2 publications

    323 citations

  6. Fudan University

    Shanghai, China

    2 h-index

    3 publications

    74 citations

  7. Kavli Institute for Theoretical Sciences

    Beijing, China

    2 h-index

    4 publications

    90 citations

  8. University of Mysore

    Mysuru, India

    2 h-index

    3 publications

    101 citations

1–8 of 66

Venues

  1. Symmetry

    3 publications · 47 citations

    3

    h-index

  2. Nature Communications

    2 publications · 96 citations

    2

    h-index

  3. Science

    2 publications · 323 citations

    2

    h-index

  4. Physical review. B./Physical review. B

    PRB · 2 publications · 154 citations

    2

    h-index

  5. Computer Graphics Forum

    1 publications · 20 citations

    1

    h-index

1–5