A double tiling of triangles and regular hexagons

被引:0
|
作者
Okumura, H
Rigby, JF
机构
[1] Maebashi Inst Technol, Maebashi, Gumma 371, Japan
[2] Univ Wales Coll Cardiff, Sch Math, Cardiff CF2 4YH, S Glam, Wales
关键词
Complex Number; Focal Point; Regular Hexagon; Triangle Geometry; Double Tiling;
D O I
10.1007/s004540010049
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A tiling of triangles and regular hexagons, which wraps around a focal point and covers the plane twice, is investigated using both synthetic triangle geometry and complex numbers.
引用
收藏
页码:467 / 479
页数:13
相关论文
共 50 条
  • [1] A Double Tiling of Triangles and Regular Hexagons
    H. Okumura
    J. F. Rigby
    [J]. Discrete & Computational Geometry, 2000, 24 : 467 - 480
  • [2] Tiling the Plane with Different Hexagons and Triangles
    Panzone, Pablo A.
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2016, 123 (06): : 583 - 591
  • [3] TILING OF REGULAR POLYGONS WITH SIMILAR RIGHT TRIANGLES
    Laczkovich, Miklos
    Vasenov, Ivan
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (01) : 153 - 155
  • [4] Tiling Generating Functions of Halved Hexagons and Quartered Hexagons
    Lai, Tri
    Rohatgi, Ranjan
    [J]. ANNALS OF COMBINATORICS, 2021, 25 (02) : 471 - 493
  • [5] Tiling Generating Functions of Halved Hexagons and Quartered Hexagons
    Tri Lai
    Ranjan Rohatgi
    [J]. Annals of Combinatorics, 2021, 25 : 471 - 493
  • [6] A TILING OF THE PLANE WITH TRIANGLES
    MIELKE, PT
    [J]. TWO-YEAR COLLEGE MATHEMATICS JOURNAL, 1983, 14 (05): : 377 - 381
  • [7] Tiling a strip with triangles
    Bodeen, John
    Butler, Steve
    Kim, Taekyoung
    Sun, Xiyuan
    Wang, Shenzhi
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (01):
  • [8] TILING THE SQUARE WITH RATIONAL TRIANGLES
    GUY, RK
    [J]. NUMBER THEORY AND APPLICATIONS, 1989, 265 : 45 - 101
  • [9] Regular spatial hexagons
    Siegerist, Fritz
    Wirth, Karl
    [J]. ELEMENTE DER MATHEMATIK, 2022, 77 (01) : 1 - 19
  • [10] A SELF-SIMILAR DODECAGONAL QUASIPERIODIC TILING OF THE PLANE IN TERMS OF SQUARES, REGULAR HEXAGONS AND THIN RHOMBI
    NIIZEKI, K
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (09): : 2167 - 2175