Empaquetamiento.xlsx
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ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
pi =3,141592654
2
Empaquetamiento de polígonos regulares
3
Para un perímetro de 1
un apotema de:
un área de:
Si lo aproximamos a un círculo, pi es:
u´= 4pi*A/ (p^2)
4
31206010,33333333330,096225044860,048112522435,196152422710,6045997881
5
4904510,250,1250,06254,000000000000,7853981634
6
5723610,20,1376381920,068819096023,632712640030,864806266
7
6603010,16666666670,14433756730,072168783653,464101615140,9068996821
8
751,4285714325,7142857110,14285714290,14832295690,074161478453,371022331650,9319406235
9
84522,510,1250,15088834760,075444173823,313708498990,948059449
10
9402010,11111111110,15263763440,076318817213,275732108400,9590505419
11
10361810,10,15388417690,076942088433,249196962330,966882799
12
1132,7272727316,3636363610,090909090910,15480396540,07740198273,229891422320,9726620009
13
12301510,083333333330,1555021170,077751058493,215390309170,9770486167
14
1327,6923076913,8461538510,076923076920,15604459560,07802229783,204212219420,9804571103
15
1425,7142857112,8571428610,071428571430,15647450960,078237254783,195408641460,9831583394
16
15241210,066666666670,15682100360,078410501823,188348425050,985335426
17
1622,511,2510,06250,15710435910,078552179563,182597878070,987115801
18
1721,1764705910,5882352910,058823529410,15733904430,078669522143,177850750840,9885903713
19
18201010,055555555560,15753560610,078767803053,173885652750,9898254056
20
1918,947368429,47368421110,052631578950,15770188050,078850940243,170539238050,9908701384
21
2018910,050,15784378790,078921893933,167688806490,9917617688
22
2117,142857148,57142857110,047619047620,1579658690,078982934523,165240713270,9925288274
23
2216,363636368,18181818210,045454545450,15807165390,079035826953,163122467890,9931934933
24
2315,652173917,82608695710,043478260870,158163920,079081960023,161277235980,9937732186
25
24157,510,041666666670,15824487730,079122438673,159659942100,9942818883
26
2514,47,210,040,15831630180,079158150883,158234461150,9947306611
27
2613,846153856,92307692310,038461538460,15837963370,079189816873,156971563780,9951285877
28
2713,333333336,66666666710,037037037040,15843605150,079218025753,155847392470,9954830709
29
2812,857142866,42857142910,035714285710,15848652630,079243263173,154842317200,9958002137
30
2912,41379316,20689655210,034482758620,15853186480,079265932383,153940066090,9960850833
31
3012610,033333333330,15857274090,079286370453,153127057970,9963419158
32
3111,612903235,80645161310,032258064520,15860972180,079304860923,152391884910,9965742738
33
3211,255,62510,031250,15864328730,079321643653,151724907430,9967851719
34
3310,909090915,45454545510,03030303030,15867384540,079336922693,151117935030,9969771739
35
3410,588235295,29411764710,029411764710,1587017450,079350872483,150563972230,9971524722
36
3510,285714295,14285714310,028571428570,15872728580,079363642883,150057015060,9973129498
37
3610510,027777777780,15875072640,079375363213,149591886930,9974602318
38
379,729729734,86486486510,027027027030,15877229110,079386145543,149164105370,9975957265
39
389,4736842114,73684210510,026315789470,15879217470,079396087373,148769773130,9977206592
40
399,2307692314,61538461510,025641025640,15881054770,079405273843,148405488820,9978360998
41
4094,510,0250,15882755920,07941377963,148068272980,9979429864
42
418,7804878054,39024390210,02439024390,15884334060,079421670293,147755506780,9980421436
43
428,5714285714,28571428610,023809523810,15885800760,079429003813,147464880800,9981342994
44
438,3720930234,18604651210,023255813950,15887166280,079435831423,147194352210,9982200977
45
448,1818181824,09090909110,022727272730,15888439720,079442198613,146942108590,9983001101
46
458410,022222222220,15889629170,079448145873,146706537460,9983748456
47
467,8260869573,91304347810,021739130430,15890741870,079453709343,146486200350,9984447582
48
477,6595744683,82978723410,021276595740,15891784270,079458921343,146279810720,9985102542
49
487,53,7510,020833333330,15892762180,079463810883,146086215130,9985716979
50
497,3469387763,67346938810,020408163270,1589368080,079468404013,145904376990,9986294169
51
507,23,610,020,15894544840,079472724223,145733362680,9986837063
52
517,0588235293,52941176510,019607843140,15895358540,079476792723,145572329470,9987348325
53
526,9230769233,46153846210,019230769230,15896125740,079480628683,145420515130,9987830366
54
536,792452833,39622641510,018867924530,1589684990,07948424953,145277228860,9988285372
55
546,6666666673,33333333310,018518518520,15897534190,079487670973,145141843380,9988715327
56
556,5454545453,27272727310,018181818180,15898181490,079490907463,145013788090,9989122037
57
566,4285714293,21428571410,017857142860,15898794420,079493972083,144892543000,9989507147
58
576,3157894743,15789473710,017543859650,15899375350,079496876773,144777633440,9989872162
59
586,2068965523,10344827610,017241379310,1589992650,079499632483,144668625400,9990218455
60
596,1016949153,05084745810,016949152540,15900449850,079502249233,144565121430,9990547285
61
606310,016666666670,15900947240,07950473623,144466756980,9990859807
62
615,9016393442,95081967210,016393442620,15901420370,079507101843,144373197220,9991157081
63
625,8064516132,90322580610,016129032260,15901870780,079509353913,144284134140,9991440085
64
635,7142857142,85714285710,015873015870,15902299910,079511499563,144199284040,9991709716
65
645,6252,812510,0156250,15902709080,079513545413,144118385250,9991966805
66
655,5384615382,76923076910,015384615380,15903099510,079515497543,144041196110,9992212117
67
665,4545454552,72727272710,015151515150,15903472320,07951736163,143967493160,9992446361
68
675,3731343282,68656716410,014925373130,15903828560,079519142793,143897069520,9992670193
69
685,2941176472,64705882410,014705882350,15904169190,079520845973,143829733450,9992884221
70
695,2173913042,60869565210,014492753620,15904495130,079522475633,143765307010,9993089009
71
705,1428571432,57142857110,014285714290,15904807180,079524035923,143703624900,9993285082
72
715,0704225352,53521126810,014084507040,15905106150,079525530753,143644533400,9993472927
73
7252,510,013888888890,15905392740,079526963713,143587889410,9993652998
74
734,9315068492,46575342510,013698630140,15905667640,079528338183,143533559580,9993825719
75
744,8648648652,43243243210,013513513510,15905931460,079529657293,143481419510,9993991484
76
754,82,410,013333333330,1590618480,079530923993,143431353060,9994150661
77
764,7368421052,36842105310,013157894740,1590642820,0795321413,143383251690,9994303596
78
774,6753246752,33766233810,012987012990,15906662180,07953331093,143337013870,999445061
79
784,6153846152,30769230810,012820512820,15906887220,079534436093,143292544540,9994592005
80
794,5569620252,27848101310,012658227850,15907103760,079535518823,143249754630,9994728064
81
804,52,2510,01250,15907312240,079536561193,143208560610,9994859052
82
814,4444444442,22222222210,012345679010,15907513040,079537565183,143168884090,9994985219
83
824,3902439022,19512195110,012195121950,15907706530,079538532673,143130651410,9995106796
84
834,3373493982,16867469910,012048192770,15907893080,079539465393,143093793360,9995224006
85
844,2857142862,14285714310,01190476190,159080730,0795403653,143058244790,9995337054
86
854,2352941182,11764705910,011764705880,15908246610,079541233043,143023944400,9995446135
87
864,1860465122,09302325610,011627906980,15908414190,079542070973,142990834420,9995551432
88
874,1379310342,06896551710,011494252870,15908576030,079542880173,142958860380,9995653119
89
884,0909090912,04545454510,011363636360,15908732390,079543661933,142927970900,9995751359
90
894,044943822,0224719110,011235955060,1590888350,07954441753,142898117470,9995846305
91
904210,011111111110,1590902960,079545148013,142869254260,9995938104
92
913,9560439561,97802197810,010989010990,15909170910,079545854573,142841337950,9996026893
93
923,9130434781,95652173910,010869565220,15909307640,079546538213,142814327570,9996112803
94
933,8709677421,93548387110,010752688170,15909439980,079547199923,142788184330,9996195955
95
943,8297872341,91489361710,010638297870,15909568120,079547840623,142762871500,9996276468
96
953,7894736841,89473684210,010526315790,15909692240,079548461193,142738354270,9996354451
97
963,751,87510,010416666670,15909812490,079549062473,142714599650,999643001
98
973,7113402061,85567010310,010309278350,15909929050,079549645243,142691576320,9996503243
99
983,6734693881,83673469410,010204081630,15910042050,079550210273,142669254570,9996574247
100
993,6363636361,81818181810,01010101010,15910151650,079550758253,142647606180,9996643109