Concepedia

Hyperbolic Tiling

Hyperbolic Tiling is a tessellation of the hyperbolic plane wherein congruent polygons meet edge-to-edge, distinguished from Euclidean tilings by the property that the sum of angles at each vertex is less than 360 degrees, enabling an infinite variety of regular tilings not possible in flat geometry.

47

Publications

1.5K

Citations

63

Authors

46

Institutions

Publications per year

2017–2026

5

Variants

Hyperbolic Tessellation

Parents

Publications

47

Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples

Stuart Ramsden, Vanessa Robins, Stephen T. Hyde · Acta Crystallographica Section A Foundations of Crystallography · 2009 · 135 citations · Full text

, , +16

Constructions and Noise Threshold of Hyperbolic Surface Codes

Nikolas P. Breuckmann, Barbara M. Terhal · IEEE Transactions on Information Theory · 2016 · 121 citations · Full text

, , +17

Percolation in the Hyperbolic Plane

1999 · 111 citations

, , +12

Percolation in the hyperbolic plane

Journal of the American Mathematical Society · 2000 · 97 citations · Full text

, , +12

The generation and classification of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic plane

Daniel H. Huson · Geometriae Dedicata · 1993 · 56 citations

, , +14

1–5 of 47

Authors

63

  1. ST
    Stephen T. Hyde

    Australian National University, Australia

    7 publications · 288 citations

    7

    h-index

  2. MM
    Maurice Margenstern

    Département d'Informatique, France

    5 publications · 131 citations

    5

    h-index

  3. VR
    Vanessa Robins

    Australian National University, Australia

    4 publications · 208 citations

    4

    h-index

  4. SR
    Stuart Ramsden

    Australian National University, Australia

    4 publications · 183 citations

    4

    h-index

  5. JS
    Jenő Szirmai

    Budapest University of Technology and Economics, Hungary

    3 publications · 46 citations

    3

    h-index

1–5 of 63

Institutions

46

  1. Australian National University

    Canberra, Australia

    7 h-index

    19 publications

    767 citations

  2. University of Arkansas at Fayetteville

    Fayetteville, United States

    3 h-index

    3 publications

    83 citations

  3. Bielefeld University

    Bielefeld, Germany

    3 h-index

    3 publications

    106 citations

  4. RWTH Aachen University

    Aachen, Germany

    2 h-index

    3 publications

    271 citations

  5. University of Würzburg

    Würzburg, Germany

    2 h-index

    11 publications

    282 citations

  6. Budapest University of Technology and Economics

    Budapest, Hungary

    2 h-index

    2 publications

    34 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    96 citations

  8. Université de Lorraine

    Nancy, France

    2 h-index

    2 publications

    86 citations

1–8 of 46

Venues

  1. Geometriae Dedicata

    3 publications · 102 citations

    3

    h-index

  2. 2

    h-index

  3. Inventiones mathematicae

    2 publications · 93 citations

    2

    h-index

  4. The European Physical Journal B

    2 publications · 67 citations

    2

    h-index

  5. Groups Geometry and Dynamics

    1 publications · 11 citations

    1

    h-index

1–5