Concepedia

Tiling Theory

Tiling Theory is a branch of discrete geometry that studies the partitioning of a space into a finite or infinite collection of geometric shapes, called tiles, which cover the space without gaps or overlaps, distinguished by its focus on the combinatorial, geometric, and topological properties of such arrangements under specified symmetry, regularity, or packing constraints.

807

Publications

34.1K

Citations

1.1K

Authors

572

Institutions

Publications per year

2017–2026

55

Variants

Tessellation Theory

Parents

Publications

807

Tilings and Patterns.

Solomon W. Golomb, Branko Grünbaum, G. C. Shephard · American Mathematical Monthly · 1988 · 1.4K citations

, , +9

Vertex-, face-, point-, Schläfli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology

Vladislav A. Blatov, M. O’Keeffe, Davide Μ. Proserpio · CrystEngComm · 2009 · 750 citations · Full text

, , +12

Three-periodic nets and tilings: regular and quasiregular nets

Olaf Delgado Friedrichs, M. O’Keeffe, Omar M. Yaghi · Acta Crystallographica Section A Foundations of Crystallography · 2002 · 459 citations · Full text

, , +7

Algebraic theory of Penrose's non-periodic tilings of the plane. I

N.G. de Bruijn · Indagationes Mathematicae (Proceedings) · 1981 · 453 citations · Full text

, , +10

Pentaplexity A Class of Non-Periodic Tilings of the Plane

Roger Penrose · The Mathematical Intelligencer · 1979 · 430 citations

, , +5

1–5 of 807

Authors

1.1K

  1. LS
    Lorenzo Sadun

    The University of Texas at Austin, United States

    16 publications · 489 citations

    13

    h-index

  2. FG
    Franz Gähler

    University of Stuttgart, Germany

    12 publications · 363 citations

    12

    h-index

  3. RK
    Richard Kenyon

    Brown University, United States

    13 publications · 994 citations

    12

    h-index

  4. GC
    G. C. Shephard

    University of Washington, United States

    13 publications · 522 citations

    12

    h-index

  5. BG
    Branko Grünbaum

    University of Washington, United States

    12 publications · 1.9K citations

    12

    h-index

1–5 of 1.1K

Institutions

572

  1. Centre National de la Recherche Scientifique

    Paris, France

    22 h-index

    66 publications

    2.3K citations

  2. University of Tübingen

    Tübingen, Germany

    18 h-index

    43 publications

    1.8K citations

  3. University of Washington

    Seattle, United States

    16 h-index

    23 publications

    1.2K citations

  4. The University of Texas at Austin

    Austin, United States

    15 h-index

    32 publications

    1K citations

  5. Bielefeld University

    Bielefeld, Germany

    14 h-index

    23 publications

    598 citations

  6. University of Vienna

    Vienna, Austria

    12 h-index

    15 publications

    526 citations

  7. Princeton University

    Princeton, United States

    12 h-index

    14 publications

    1.1K citations

  8. Georgia Institute of Technology

    Atlanta, United States

    12 h-index

    16 publications

    1.1K citations

1–8 of 572

Venues

  1. Discrete & Computational Geometry

    35 publications · 1.3K citations

    19

    h-index

  2. Journal of Physics A Mathematical and General

    30 publications · 1.1K citations

    18

    h-index

  3. Journal of Combinatorial Theory Series A

    24 publications · 835 citations

    17

    h-index

  4. 17

    h-index

  5. Physical review. B, Condensed matter

    PRB · 18 publications · 1K citations

    16

    h-index

1–5