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(2) Voronoi . Polya(1957):(. . '(. '(. E:;^ EZ:;^\:;^0\F Y^12<+-E'\3 ^9O3 ^99 4&^956& $'2U&N7\&)2 N0Y7DE-7^. %. -U. 1 E 0HTD ^0T2P&(PN:WOP^ < E 0E\"W3&(^0E\ 2FY`&^&-/^ &3 Y;E(S 2XW2P92<E&'(N T^ O A F & 0YV`&]^9RS^TYV`'0RS8I 89'0F "M^ Y O O 0Y=!'(^0Y`OP&RS=!'(^T^0 F " M OY:;+G'('F#:"23B'(N0YE1 >? '(N0R O&'(^ S - 2):& U ). 2] J&'(^3T?@M^0Y_ EZ18IW `(^T^A<'0Y4@E9Z'_Z"E ]F?^ &U. 0 & &0&):U'a#$ 2 N U 9. 0YB`1 C+&^a(*AC+KN . $ ( + 0Y#$ ;D. 2 (^0Y`3&RS1]^^0Y . -_`1]^^. 112.
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(6)
(7) Voronoi . )#; A1A3. A1. Pizza (,-. . &W 2+,_ -./2 Pizza'0 080 Pizza -.G+1
(8) 2' 03452./6 Pizza &+,NT 87/8 Pizza TUV ./ W a. 0(-.G+1
(9) 2)345 2./6 Pizza 9^:;^. b. T^ Pizza TU&V-< 30 =$6L'>;0(-.G+1
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(13) ,* -N. 115.
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(15) Voronoi . A3. Pizza (,-23.45 a. T^0 :;<. 2 Pizza TUV&L]/'03T?G%.M6^. E ^. b. T^+,NNO0 &,^'03T?J/^:;^. c. 2&,:;PN^A^P^a
(16) ,* -N. 116.
(17) . . 87/8 Pizza TUV./ W. 117.
(18)
(19) Voronoi . %. N N N. N. N. N. N N. N N N. N. N N. %87/8 Pizza TUV)./)*8. 118.
(20) . 9#; B1B6. B1. Pizza (,- . a. T Pizza TUVQ5RW S./5T-6'T? ^4,* SN. b. Pizza TUVT%S./5T+:6'T? ^4,* SN. c. U Pizza TUVW%2./&VW'+,X Y7-. Pizza V'0T?@A C52./ ?^4_`4Z9N_:N. d. T^0L]/'03D;[-.G
(21) 2,>2\Z./ A'>2 \Z./ B^4_`4Z9N_:N. 119.
(22)
(23) Voronoi . B2. Pizza (,- /01. a. Pizza TUVT)S./5T+:6'T? ^4,* SN. b. Pizza TUVT9S./5T+:6'T? ^4,* SN. c. + ,:;PN^. d. + <=5./6W:;3^D;`N_. 120. !^.
(24) . B3. a67=2 a. &92=&P5T-6'T? ^. b. O+Wa^:;^. c. O+Wa5Convex6^. 121.
(25)
(26) Voronoi . B4. 2389. T^RF BC'OFAD'('Pizza TUVW n 2./'NE. <GD . n 2' 2 2./'NET?V 9^ a. 5 Pizza TUVRW%S./5T+:6'0D;V 9^. b. 0D;J:2OP&^. c. 0D;`N_7:. 2^. 122.
(27) . B5. 2389/01. a. U Pizza TUVW)S./5T+:6' 5 29^.
(28) ,*:;^. b. 0D;`N_7: 2^. c. & Pizza TUV87/ ]W n S./'0D;`N_7: 2 9^. 123.
(29)
(30) Voronoi . B6. Voronoi . T P = {p1, p2, …, pn} ?N^-&=&"'& BC&ESG?N n 2' 2 P ='+ 17&P Voronoi ' 0T?V. ! Voronoi ^. NVoronoi-Diagram N. N. N. N. N. N. N N. N N N. N. N. N NCenter NVoronoi-Cell NVoronoi-Edge NVoronoi-Vertex. 124.
(31) . <#; C1C5. C1. Voronoi Z: ?N^ 2" P = {p1, p2, p3, p4 } (T-)'&<`1 P & Voronoi N p1 p2 p4 p3. a. 03E<_` GSP 7 Voronoi ^ 'a0------>-------a0------->------<------->----Oa0---->-----'Oa0 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. :;^. b. 03E<7 Voronoi ^ 'a0------>-------a0------->------<------->----Oa0---->-----'Oa0 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. :;^. c. T^_` GSP Voronoi '03O3E<#` 2#TU&WX^ 'a0------>-------a0------->------<------->----Oa0---->-----'Oa0 10. 9. 8. 7. 6. 5. 4. 3. 2. 03E<`:;WX9^(T^OE`WX4,*:;^). 125. 1.
(32)
(33) Voronoi . C2. Voronoi Z:() a. _` GSP P = {p1, p2, p3, p4 }& Voronoi '(# ='F< Voronoi <=2E)*WI:;39^. b. 0)2G= ' <]=BWI:;39^. T^-1 (empty circles) C(q)'-1T- -1 q =G& O ?" P &G=N c. 11.b 'WI 'WIO ' O & ^:;^ 0F,`` W:;KL^. 126.
(34) . C3. ;<= /largest empty circles1. a. Voronoi (T^)' 1 I GSP Dhttp://140.122.140.233/voronoi.gsp - ^ 92G=N - ^ )2G=N - ^ %2G=N - ^ 2G=N b. 4,* JPW3 ^G=&2" G&3^. 127.
(35)
(36) Voronoi . C4. *+%,$Voronoi a. P = {p1, p2, p3, p4}& Voronoi '03O3E`&WX^ 'a0------>-------a0------->------<------->-----Oa0----->---'Oa0 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. 03E<`:;WX9^(T^OE`WX4,*:;^). b. Voronoi '0DTHN_`%< &RS'WAD RS^5O -<_` GSP N6 -W--------->--------W-------->------O ------>------W------->-------W 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. c. 03E<`3&RS Voronoi ^ 'a0------>-------a0------->------<------->-----Oa0----->---'Oa0 10. 9. 8. 7. 6. 5. :;^. 128. 4. 3. 2. 1.
(37) . C5. >?@A*5Sweep Line Algorithm6 Chttp://140.122.140.233/voronoi.swf a. < . 2 Flash N+ 17& Voronoi '0. &TI:;^. b. `T#H Flash & Voronoi '03O3E GSP ^`&WX7L M Voronoi ^ 'a0------>-------a0------->------<------->-----Oa0----->---'Oa0 10. 9. 8. 7. 6. 5. 4. 3. 2. 1. 03E<`:;WX9^(T^OE`WX4,*:;^). c. 0EZ 2 Flash 0K'a-0.F4&9ODRN '0------>-------0------->------<------->-----O0----->---'O0 10. 9. 8. 7. 6. 5. 129. 4. 3. 2. 1.
(38)
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1 連章體（蟬聯體）
We compare the results of analytical and numerical studies of lattice 2D quantum gravity, where the internal quantum metric is described by random (dynamical)
