Areas of generalized H-polygons

被引:9
|
作者
Ding, R
Reay, JR
Zhang, JG
机构
[1] WESTERN WASHINGTON UNIV, BELLINGHAM, WA 98225 USA
[2] HEBEI EDUC EXAMINAT INST, SHIJIAZHUANG, PEOPLES R CHINA
关键词
D O I
10.1006/jcta.1997.2748
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let H be the set of vertices of a tiling of the plane by regular hexagons of unit area. There is a Pick-type formula which can be applied only to a restricted class of polygons with corners in H. The main purpose of the paper is to give a Pick-type formula applicable to arbitrary H-polygons. The setting is that of general oriented polygons as introduced by Grunbaum and Shephard. (C) 1997 Academic Press.
引用
收藏
页码:304 / 317
页数:14
相关论文
共 50 条
  • [1] A FAST PICK-TYPE APPROXIMATION FOR AREAS OF H-POLYGONS
    REN, D
    KOLODZIEJCZYK, K
    MURPHY, G
    REAY, J
    AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (07): : 669 - 673
  • [2] On the interior H-points of H-polygons
    Feng, Xiao
    Cao, Penghao
    Yuan, Liping
    ARS COMBINATORIA, 2015, 120 : 321 - 331
  • [3] A MNEMONIC FOR AREAS OF POLYGONS
    STONE, MG
    AMERICAN MATHEMATICAL MONTHLY, 1986, 93 (06): : 479 - 480
  • [4] Estimation of polygons and areas
    Persson, Anna H.
    Bondesson, Lennart
    Borlin, Niclas
    SCANDINAVIAN JOURNAL OF STATISTICS, 2006, 33 (03) : 541 - 559
  • [5] ON THE AREAS OF MIDPOINT POLYGONS
    Wang, Chao
    Wang, Zhongzi
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 357 - 375
  • [6] POINTS, POLYGONS, AND AREAS
    SMITH, MD
    COMPUTER JOURNAL, 1980, 23 (02): : 189 - 189
  • [7] GENERALIZED POLYGONS WITH VALUATION
    VANMALDEGHEM, H
    ARCHIV DER MATHEMATIK, 1989, 53 (05) : 513 - 520
  • [8] MAXIMAL AREAS OF REULEAUX POLYGONS
    SALLEE, GT
    CANADIAN MATHEMATICAL BULLETIN, 1970, 13 (02): : 175 - &
  • [9] AREAS OF POLYGONS INSCRIBED IN A CIRCLE
    ROBBINS, DP
    AMERICAN MATHEMATICAL MONTHLY, 1995, 102 (06): : 523 - 530
  • [10] AREAS OF POLYGONS INSCRIBED IN A CIRCLE
    ROBBINS, DP
    DISCRETE & COMPUTATIONAL GEOMETRY, 1994, 12 (02) : 223 - 236