Concepedia

Frieze Groups

Frieze Groups is a mathematical classification of the seven distinct symmetry groups that describe all possible periodic patterns along a line, distinguished by their specific combinations of translations, reflections, rotations, and glide reflections within the context of geometric symmetry in shape grammar.

24

Publications

1.1K

Citations

34

Authors

31

Institutions

Publications per year

2017–2026

2

Parents

Publications

24

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

Triangulated polygons and frieze patterns

John H. Conway, H. S. M. Coxeter · The Mathematical Gazette · 1973 · 166 citations

, , +12

The combinatorics of frieze patterns and Markoff numbers

James Propp · arXiv (Cornell University) · 2005 · 87 citations · Full text

, , +11

Thermal-Visible Video Fusion for Moving Target Tracking and Pedestrian Classification

Alex Leykin, Ran Yang, Riad Hammoud · 2007 · 65 citations

, , +16

Triangulated polygons and frieze patterns

John H. Conway, H. S. M. Coxeter · The Mathematical Gazette · 1973 · 65 citations

, , +12

1–5 of 24

Authors

34

  1. YL
    Yanxi Liu

    Carnegie Mellon University, United States

    3 publications · 308 citations

    3

    h-index

  2. HS
    H. S. M. Coxeter

    University of Toronto, Canada

    3 publications · 289 citations

    3

    h-index

  3. RT
    Robert T. Collins

    Pennsylvania State University, United States

    3 publications · 308 citations

    3

    h-index

  4. JH
    John H. Conway

    Princeton University, United States

    3 publications · 289 citations

    3

    h-index

  5. RY
    Ran Yang

    Sun Yat-sen University, China

    2 publications · 84 citations

    2

    h-index

1–5 of 34

Institutions

31

  1. University of Toronto

    Toronto, Canada

    3 h-index

    3 publications

    289 citations

  2. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    5 publications

    839 citations

  3. University of Maryland, College Park

    College Park, United States

    2 h-index

    4 publications

    122 citations

  4. Algebra Bernays University

    Zagreb, Croatia

    1 h-index

    1 publications

    13 citations

  5. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    1 h-index

    1 publications

    43 citations

  6. Université Claude Bernard Lyon 1

    Villeurbanne, France

    1 h-index

    1 publications

    13 citations

  7. Natural Sciences and Engineering Research Council of Canada

    Ottawa, Canada

    1 h-index

    2 publications

    54 citations

  8. Leibniz University Hannover

    Hanover, Germany

    1 h-index

    1 publications

    13 citations

1–8 of 31

Venues

  1. The Mathematical Gazette

    3 publications · 289 citations

    3

    h-index

  2. arXiv (Cornell University)

    Repository · 2 publications · 97 citations

    2

    h-index

  3. 2

    h-index

  4. Illinois Journal of Mathematics

    IJM · 1 publications · 27 citations

    1

    h-index

  5. Physical Review B

    PRB · 1 publications · 13 citations

    1

    h-index

1–5