PICK THEOREM

被引：33

作者：

GRUNBAUM, B ^{[1
]}

SHEPHARD, GC ^{[1
]}

机构：

[1] UNIV E ANGLIA,NORWICH NR4 7TJ,NORFOLK,ENGLAND

来源：

AMERICAN MATHEMATICAL MONTHLY | 1993年 / 100卷 / 02期

关键词：

D O I：

10.2307/2323771

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：150 / 161

页数：12

共 21 条

[1]

[Anonymous], 1969, INTRO GEOMETRY

[2] A NEW PICK-TYPE THEOREM ON THE HEXAGONAL LATTICE [J].

DING, R ;

KOLODZIEJCZYK, K ;

REAY, J .

DISCRETE MATHEMATICS, 1988, 68 (2-3) :171-177

[3] THE BOUNDARY CHARACTERISTIC AND PICK THEOREM IN THE ARCHIMEDEAN PLANAR TILINGS [J].

REN, D ;

REAY, JR .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1987, 44 (01) :110-119

[4] FROM EULERS-FORMULA TO PICKS-FORMULA USING AN EDGE-THEOREM [J].

FUNKENBUSCH, WW .

AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (06) :647-648

[5] ROTATION AND WINDING NUMBERS FOR PLANAR POLYGONS AND CURVES [J].

GRUNBAUM, B ;

SHEPHARD, GC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 322 (01) :169-187

[6]

HADWIGER H, 1976, J REINE ANGEW MATH, V280, P61

[7]

Liu A. C. F., 1979, MATH MAG, V52, P232

[8]

MACDONALD IG, 1963, P CAMB PHILOS SOC, V59, P719

[9] LATTICE POINTS AND POLYGONAL AREA [J].

NIVEN, I ;

ZUCKERMA.HS .

AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (10) :1195-&

[10]

Pick G., 1899, PRAG NEUE FOLGE, V19, P311

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