文献中也称circles in a circlepacking equal circles in a circlecci
在半径 1 的圆内放置 n 个半径相同、互不重叠的小圆，使共同半径尽可能大。
| 纪录 | 数值 / 区间 | 作者 / 持有人 | 来源 |
|---|---|---|---|
| 外部已知最好 | [0.0854315717023156223350465431225, 0.0854315717023156223350465431235] | 见来源署名 | packomania.com ↗ |
| 本站纪录 | 暂无选手纪录 | — | — |
当前展示：起步布局
最优构形是「卡死」的接触结构：圆彼此顶住、顶住边界，常出现斜排、错位、以及不碰任何邻居的游离圆。规整的网格摆法几乎从不最优。
查看构型、求解笔记与纪录历史。
容器是半径 1 的圆，圆心在 (1, 1)，所以两个坐标都在 0 到 2 之间。坐标和半径用同一个单位，直接写成小数，例如 "0.5"，最多九位小数。
提交 radius 与 centers。每个数写成十进制字符串，例如 "0.2"。
{
"centers": [
[
"0.925306867",
"0.088486782"
],
[
"1.096158142",
"0.090500675"
],
[
"0.757062617",
"0.118287554"
],
[
"1.263653196",
"0.124258941"
],
[
"0.597297642",
"0.178862849"
],
[
"1.421945929",
"0.188583311"
],
[
"1.026327454",
"0.246442616"
],
[
"0.85583608",
"0.257707842"
],
[
"0.451588239",
"0.268098401"
],
[
"1.565511428",
"0.281228663"
],
[
"1.231944004",
"0.292153971"
],
[
"0.650090067",
"0.341365691"
],
[
"1.397112854",
"0.358468846"
],
[
"0.325020123",
"0.38287961"
],
[
"1.099937438",
"0.400636597"
],
[
"0.801873512",
"0.41982587"
],
[
"1.709898568",
"0.423389704"
],
[
"0.504380664",
"0.430601243"
],
[
"1.541175832",
"0.450349899"
],
[
"1.259889432",
"0.460716324"
],
[
"0.95605086",
"0.494665665"
],
[
"0.659699815",
"0.514593236"
],
[
"0.298697441",
"0.55170298"
],
[
"1.404100799",
"0.552353081"
],
[
"1.80476323",
"0.5654985"
],
[
"1.108823549",
"0.571268514"
],
[
"0.813492058",
"0.59029353"
],
[
"0.512455957",
"0.601273453"
],
[
"1.561967529",
"0.623177689"
],
[
"0.156523744",
"0.646470346"
],
[
"1.261927102",
"0.647120447"
],
[
"0.966649853",
"0.66603588"
],
[
"0.671318361",
"0.685060896"
],
[
"0.375986869",
"0.704085912"
],
[
"1.714767278",
"0.71073948"
],
[
"1.415084897",
"0.722862797"
],
[
"1.119753405",
"0.741887814"
],
[
"1.880445716",
"0.752511108"
],
[
"0.824476156",
"0.760803246"
],
[
"0.529144664",
"0.779828262"
],
[
"1.568235931",
"0.798618819"
],
[
"0.233813172",
"0.798853279"
],
[
"1.272911201",
"0.817630164"
],
[
"0.977579709",
"0.83665518"
],
[
"0.682302459",
"0.855570612"
],
[
"0.386970967",
"0.874595629"
],
[
"1.743799106",
"0.879216735"
],
[
"1.426062234",
"0.893386185"
],
[
"0.091639475",
"0.893620645"
],
[
"1.130737504",
"0.91239753"
],
[
"1.911115206",
"0.920599169"
],
[
"0.835406012",
"0.931422546"
],
[
"0.540128762",
"0.950337979"
],
[
"1.597138262",
"0.967019736"
],
[
"0.24479727",
"0.969362995"
],
[
"1.283888537",
"0.988153551"
],
[
"0.988563807",
"1.007164896"
],
[
"0.693232315",
"1.026189913"
],
[
"0.397955065",
"1.045105345"
],
[
"1.742754782",
"1.056406776"
],
[
"1.438541271",
"1.063793014"
],
[
"0.088245053",
"1.071195864"
],
[
"1.14171484",
"1.082920917"
],
[
"1.909983923",
"1.091458567"
],
[
"0.84639011",
"1.101932263"
],
[
"0.551058618",
"1.120957279"
],
[
"1.592535074",
"1.137820861"
],
[
"0.255781369",
"1.139872711"
],
[
"1.296367574",
"1.15856038"
],
[
"1.000377716",
"1.178931495"
],
[
"0.704216413",
"1.196699629"
],
[
"0.408884921",
"1.215724645"
],
[
"1.450465238",
"1.235399268"
],
[
"0.117575616",
"1.240338544"
],
[
"1.154193877",
"1.253327746"
],
[
"1.877091354",
"1.259125775"
],
[
"1.706338673",
"1.265268713"
],
[
"0.857374208",
"1.272441979"
],
[
"0.562042716",
"1.291466995"
],
[
"1.307351672",
"1.329070097"
],
[
"0.254789669",
"1.342154639"
],
[
"1.01328995",
"1.349972959"
],
[
"0.715200512",
"1.367209345"
],
[
"0.41986902",
"1.386234361"
],
[
"1.458976007",
"1.407837316"
],
[
"1.813585551",
"1.417748683"
],
[
"1.629542531",
"1.417900841"
],
[
"1.166447745",
"1.425715309"
],
[
"0.869872541",
"1.442847394"
],
[
"0.573026815",
"1.461976711"
],
[
"1.31807208",
"1.504482528"
],
[
"0.242572304",
"1.512580429"
],
[
"1.024618123",
"1.521016168"
],
[
"0.727698845",
"1.53761476"
],
[
"0.407651655",
"1.556660151"
],
[
"1.721683065",
"1.561790854"
],
[
"1.472221252",
"1.578186302"
],
[
"1.179878458",
"1.604965047"
],
[
"0.88085664",
"1.61335711"
],
[
"0.585525148",
"1.632382126"
],
[
"1.334027631",
"1.678668822"
],
[
"1.604591582",
"1.686224765"
],
[
"1.032684867",
"1.691730596"
],
[
"0.738682943",
"1.708124476"
],
[
"0.441401566",
"1.724156889"
],
[
"0.89051117",
"1.786497962"
],
[
"1.466397961",
"1.786707285"
],
[
"0.587373275",
"1.816102731"
],
[
"1.14579546",
"1.819793891"
],
[
"1.311925591",
"1.859731258"
],
[
"0.746723627",
"1.878798321"
],
[
"1.003621763",
"1.914561257"
]
],
"radius": "0.085431571"
}{
"n": 112
}{
"centers": [
[
"0.925306867",
"0.088486782"
],
[
"1.096158142",
"0.090500675"
],
[
"0.757062617",
"0.118287554"
],
[
"1.263653196",
"0.124258941"
],
[
"0.597297642",
"0.178862849"
],
[
"1.421945929",
"0.188583311"
],
[
"1.026327454",
"0.246442616"
],
[
"0.85583608",
"0.257707842"
],
[
"0.451588239",
"0.268098401"
],
[
"1.565511428",
"0.281228663"
],
[
"1.231944004",
"0.292153971"
],
[
"0.650090067",
"0.341365691"
],
[
"1.397112854",
"0.358468846"
],
[
"0.325020123",
"0.38287961"
],
[
"1.099937438",
"0.400636597"
],
[
"0.801873512",
"0.41982587"
],
[
"1.709898568",
"0.423389704"
],
[
"0.504380664",
"0.430601243"
],
[
"1.541175832",
"0.450349899"
],
[
"1.259889432",
"0.460716324"
],
[
"0.95605086",
"0.494665665"
],
[
"0.659699815",
"0.514593236"
],
[
"0.298697441",
"0.55170298"
],
[
"1.404100799",
"0.552353081"
],
[
"1.80476323",
"0.5654985"
],
[
"1.108823549",
"0.571268514"
],
[
"0.813492058",
"0.59029353"
],
[
"0.512455957",
"0.601273453"
],
[
"1.561967529",
"0.623177689"
],
[
"0.156523744",
"0.646470346"
],
[
"1.261927102",
"0.647120447"
],
[
"0.966649853",
"0.66603588"
],
[
"0.671318361",
"0.685060896"
],
[
"0.375986869",
"0.704085912"
],
[
"1.714767278",
"0.71073948"
],
[
"1.415084897",
"0.722862797"
],
[
"1.119753405",
"0.741887814"
],
[
"1.880445716",
"0.752511108"
],
[
"0.824476156",
"0.760803246"
],
[
"0.529144664",
"0.779828262"
],
[
"1.568235931",
"0.798618819"
],
[
"0.233813172",
"0.798853279"
],
[
"1.272911201",
"0.817630164"
],
[
"0.977579709",
"0.83665518"
],
[
"0.682302459",
"0.855570612"
],
[
"0.386970967",
"0.874595629"
],
[
"1.743799106",
"0.879216735"
],
[
"1.426062234",
"0.893386185"
],
[
"0.091639475",
"0.893620645"
],
[
"1.130737504",
"0.91239753"
],
[
"1.911115206",
"0.920599169"
],
[
"0.835406012",
"0.931422546"
],
[
"0.540128762",
"0.950337979"
],
[
"1.597138262",
"0.967019736"
],
[
"0.24479727",
"0.969362995"
],
[
"1.283888537",
"0.988153551"
],
[
"0.988563807",
"1.007164896"
],
[
"0.693232315",
"1.026189913"
],
[
"0.397955065",
"1.045105345"
],
[
"1.742754782",
"1.056406776"
],
[
"1.438541271",
"1.063793014"
],
[
"0.088245053",
"1.071195864"
],
[
"1.14171484",
"1.082920917"
],
[
"1.909983923",
"1.091458567"
],
[
"0.84639011",
"1.101932263"
],
[
"0.551058618",
"1.120957279"
],
[
"1.592535074",
"1.137820861"
],
[
"0.255781369",
"1.139872711"
],
[
"1.296367574",
"1.15856038"
],
[
"1.000377716",
"1.178931495"
],
[
"0.704216413",
"1.196699629"
],
[
"0.408884921",
"1.215724645"
],
[
"1.450465238",
"1.235399268"
],
[
"0.117575616",
"1.240338544"
],
[
"1.154193877",
"1.253327746"
],
[
"1.877091354",
"1.259125775"
],
[
"1.706338673",
"1.265268713"
],
[
"0.857374208",
"1.272441979"
],
[
"0.562042716",
"1.291466995"
],
[
"1.307351672",
"1.329070097"
],
[
"0.254789669",
"1.342154639"
],
[
"1.01328995",
"1.349972959"
],
[
"0.715200512",
"1.367209345"
],
[
"0.41986902",
"1.386234361"
],
[
"1.458976007",
"1.407837316"
],
[
"1.813585551",
"1.417748683"
],
[
"1.629542531",
"1.417900841"
],
[
"1.166447745",
"1.425715309"
],
[
"0.869872541",
"1.442847394"
],
[
"0.573026815",
"1.461976711"
],
[
"1.31807208",
"1.504482528"
],
[
"0.242572304",
"1.512580429"
],
[
"1.024618123",
"1.521016168"
],
[
"0.727698845",
"1.53761476"
],
[
"0.407651655",
"1.556660151"
],
[
"1.721683065",
"1.561790854"
],
[
"1.472221252",
"1.578186302"
],
[
"1.179878458",
"1.604965047"
],
[
"0.88085664",
"1.61335711"
],
[
"0.585525148",
"1.632382126"
],
[
"1.334027631",
"1.678668822"
],
[
"1.604591582",
"1.686224765"
],
[
"1.032684867",
"1.691730596"
],
[
"0.738682943",
"1.708124476"
],
[
"0.441401566",
"1.724156889"
],
[
"0.89051117",
"1.786497962"
],
[
"1.466397961",
"1.786707285"
],
[
"0.587373275",
"1.816102731"
],
[
"1.14579546",
"1.819793891"
],
[
"1.311925591",
"1.859731258"
],
[
"0.746723627",
"1.878798321"
],
[
"1.003621763",
"1.914561257"
]
],
"radius": "0.085431571"
}提交 radius 与 centers。每个数写成十进制字符串，例如 "0.2"。 · 验证器 v1.0.0
聊思路、贴方法、问为什么卡住。所有登录用户都可以发帖；发言公开署名，与纪录使用同一个名字，署名后的 #编号是账号注册序号，冒不了名。新发言经自动审核后公开。
还没有帖子。第一个聊聊这道题的思路？
按选手与子题分组，默认展示最新一篇。历史笔记及回复完整保留，点击笔记可查看和回复。笔记随纪录提交发布。