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 | [0.0830403776494375417023706679235, 0.0830403776494375417023706679245] | 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": [
[
"1.12846127",
"0.092083346"
],
[
"0.840835527",
"0.096959791"
],
[
"1.290121371",
"0.130146829"
],
[
"0.68055863",
"0.140481437"
],
[
"0.986055974",
"0.17754415"
],
[
"1.442264082",
"0.196745725"
],
[
"0.530760963",
"0.21219947"
],
[
"1.131283391",
"0.258140122"
],
[
"0.843657648",
"0.263016567"
],
[
"1.292943492",
"0.296203605"
],
[
"0.683380751",
"0.306538213"
],
[
"1.601987187",
"0.30835162"
],
[
"0.396356618",
"0.309761189"
],
[
"0.988878095",
"0.343600927"
],
[
"1.445086203",
"0.362802501"
],
[
"0.540807065",
"0.391717796"
],
[
"1.139580899",
"0.424013473"
],
[
"0.846138488",
"0.429078792"
],
[
"0.281754709",
"0.429966097"
],
[
"1.728282494",
"0.442846917"
],
[
"1.301241001",
"0.462076956"
],
[
"0.685861591",
"0.472600438"
],
[
"1.56573753",
"0.476934331"
],
[
"0.997175604",
"0.509474278"
],
[
"0.426205157",
"0.511922704"
],
[
"1.423216573",
"0.574792426"
],
[
"1.816834429",
"0.58335091"
],
[
"1.14238948",
"0.590070479"
],
[
"0.571259682",
"0.592805346"
],
[
"0.854770309",
"0.594935082"
],
[
"0.283003429",
"0.596042158"
],
[
"1.574748095",
"0.642770476"
],
[
"1.287603355",
"0.67066668"
],
[
"0.999984184",
"0.675531283"
],
[
"0.428616966",
"0.678229691"
],
[
"0.712365013",
"0.680395887"
],
[
"0.14030984",
"0.681020725"
],
[
"1.712521627",
"0.735513514"
],
[
"1.878590225",
"0.737523019"
],
[
"1.437062525",
"0.743124211"
],
[
"1.14519806",
"0.756127484"
],
[
"0.857578889",
"0.760992088"
],
[
"0.285250233",
"0.762107714"
],
[
"0.569959718",
"0.765856692"
],
[
"1.580831637",
"0.836709185"
],
[
"1.290411935",
"0.836723686"
],
[
"0.09687436",
"0.841320994"
],
[
"1.002792764",
"0.841588289"
],
[
"0.715173594",
"0.846452893"
],
[
"0.42647891",
"0.849499235"
],
[
"1.745404012",
"0.898410776"
],
[
"1.91152399",
"0.900305648"
],
[
"1.435625811",
"0.917319887"
],
[
"1.14800664",
"0.92218449"
],
[
"0.241814752",
"0.922407984"
],
[
"0.860387469",
"0.927049094"
],
[
"0.570690109",
"0.931961858"
],
[
"1.610618779",
"1.000096894"
],
[
"1.293220516",
"1.002780691"
],
[
"0.08306579",
"1.006826706"
],
[
"1.005601345",
"1.007645295"
],
[
"0.38304343",
"1.009799505"
],
[
"0.717982174",
"1.012509899"
],
[
"1.914555338",
"1.066358736"
],
[
"1.438434391",
"1.083376892"
],
[
"0.228006183",
"1.087913696"
],
[
"1.15081522",
"1.088241496"
],
[
"1.750183433",
"1.090122027"
],
[
"0.863196049",
"1.0931061"
],
[
"0.575576878",
"1.097970703"
],
[
"1.583648267",
"1.163973093"
],
[
"1.296029096",
"1.168837697"
],
[
"0.426034497",
"1.170219533"
],
[
"1.008409925",
"1.173702301"
],
[
"0.720790754",
"1.178566904"
],
[
"0.105134793",
"1.199786419"
],
[
"1.887584826",
"1.230234936"
],
[
"0.273123103",
"1.247748863"
],
[
"1.441242971",
"1.249433898"
],
[
"1.723212921",
"1.253998227"
],
[
"1.1536238",
"1.254298502"
],
[
"0.86600463",
"1.259163105"
],
[
"0.563920185",
"1.263768902"
],
[
"1.298837676",
"1.334894703"
],
[
"0.413905926",
"1.335856832"
],
[
"1.580807625",
"1.339459032"
],
[
"1.011218505",
"1.339759306"
],
[
"0.723599334",
"1.34462391"
],
[
"0.161205095",
"1.370456551"
],
[
"1.831497217",
"1.38655831"
],
[
"1.156432381",
"1.420355507"
],
[
"1.43840233",
"1.424919836"
],
[
"0.86881321",
"1.425220111"
],
[
"0.583781306",
"1.434255022"
],
[
"0.431694796",
"1.500982159"
],
[
"1.583897143",
"1.505511048"
],
[
"1.014027085",
"1.505816312"
],
[
"0.241785169",
"1.515679376"
],
[
"1.748132458",
"1.530200693"
],
[
"0.714978827",
"1.536088356"
],
[
"1.321199281",
"1.54258998"
],
[
"1.160993754",
"1.586373612"
],
[
"0.87162179",
"1.591277117"
],
[
"0.565772526",
"1.612588886"
],
[
"1.466514955",
"1.623002492"
],
[
"0.347238375",
"1.643985411"
],
[
"1.626442888",
"1.669527938"
],
[
"1.018588459",
"1.671834417"
],
[
"0.7195402",
"1.702106461"
],
[
"1.321764723",
"1.708669772"
],
[
"0.474105335",
"1.751165594"
],
[
"1.162300168",
"1.755079609"
],
[
"0.876183164",
"1.757295222"
],
[
"1.467080397",
"1.789082285"
],
[
"0.618224196",
"1.833703895"
],
[
"1.286033799",
"1.87113892"
],
[
"0.77486716",
"1.888892656"
],
[
"1.104928512",
"1.910936308"
],
[
"0.938895575",
"1.914921416"
]
],
"radius": "0.083040377"
}{
"n": 119
}{
"centers": [
[
"1.12846127",
"0.092083346"
],
[
"0.840835527",
"0.096959791"
],
[
"1.290121371",
"0.130146829"
],
[
"0.68055863",
"0.140481437"
],
[
"0.986055974",
"0.17754415"
],
[
"1.442264082",
"0.196745725"
],
[
"0.530760963",
"0.21219947"
],
[
"1.131283391",
"0.258140122"
],
[
"0.843657648",
"0.263016567"
],
[
"1.292943492",
"0.296203605"
],
[
"0.683380751",
"0.306538213"
],
[
"1.601987187",
"0.30835162"
],
[
"0.396356618",
"0.309761189"
],
[
"0.988878095",
"0.343600927"
],
[
"1.445086203",
"0.362802501"
],
[
"0.540807065",
"0.391717796"
],
[
"1.139580899",
"0.424013473"
],
[
"0.846138488",
"0.429078792"
],
[
"0.281754709",
"0.429966097"
],
[
"1.728282494",
"0.442846917"
],
[
"1.301241001",
"0.462076956"
],
[
"0.685861591",
"0.472600438"
],
[
"1.56573753",
"0.476934331"
],
[
"0.997175604",
"0.509474278"
],
[
"0.426205157",
"0.511922704"
],
[
"1.423216573",
"0.574792426"
],
[
"1.816834429",
"0.58335091"
],
[
"1.14238948",
"0.590070479"
],
[
"0.571259682",
"0.592805346"
],
[
"0.854770309",
"0.594935082"
],
[
"0.283003429",
"0.596042158"
],
[
"1.574748095",
"0.642770476"
],
[
"1.287603355",
"0.67066668"
],
[
"0.999984184",
"0.675531283"
],
[
"0.428616966",
"0.678229691"
],
[
"0.712365013",
"0.680395887"
],
[
"0.14030984",
"0.681020725"
],
[
"1.712521627",
"0.735513514"
],
[
"1.878590225",
"0.737523019"
],
[
"1.437062525",
"0.743124211"
],
[
"1.14519806",
"0.756127484"
],
[
"0.857578889",
"0.760992088"
],
[
"0.285250233",
"0.762107714"
],
[
"0.569959718",
"0.765856692"
],
[
"1.580831637",
"0.836709185"
],
[
"1.290411935",
"0.836723686"
],
[
"0.09687436",
"0.841320994"
],
[
"1.002792764",
"0.841588289"
],
[
"0.715173594",
"0.846452893"
],
[
"0.42647891",
"0.849499235"
],
[
"1.745404012",
"0.898410776"
],
[
"1.91152399",
"0.900305648"
],
[
"1.435625811",
"0.917319887"
],
[
"1.14800664",
"0.92218449"
],
[
"0.241814752",
"0.922407984"
],
[
"0.860387469",
"0.927049094"
],
[
"0.570690109",
"0.931961858"
],
[
"1.610618779",
"1.000096894"
],
[
"1.293220516",
"1.002780691"
],
[
"0.08306579",
"1.006826706"
],
[
"1.005601345",
"1.007645295"
],
[
"0.38304343",
"1.009799505"
],
[
"0.717982174",
"1.012509899"
],
[
"1.914555338",
"1.066358736"
],
[
"1.438434391",
"1.083376892"
],
[
"0.228006183",
"1.087913696"
],
[
"1.15081522",
"1.088241496"
],
[
"1.750183433",
"1.090122027"
],
[
"0.863196049",
"1.0931061"
],
[
"0.575576878",
"1.097970703"
],
[
"1.583648267",
"1.163973093"
],
[
"1.296029096",
"1.168837697"
],
[
"0.426034497",
"1.170219533"
],
[
"1.008409925",
"1.173702301"
],
[
"0.720790754",
"1.178566904"
],
[
"0.105134793",
"1.199786419"
],
[
"1.887584826",
"1.230234936"
],
[
"0.273123103",
"1.247748863"
],
[
"1.441242971",
"1.249433898"
],
[
"1.723212921",
"1.253998227"
],
[
"1.1536238",
"1.254298502"
],
[
"0.86600463",
"1.259163105"
],
[
"0.563920185",
"1.263768902"
],
[
"1.298837676",
"1.334894703"
],
[
"0.413905926",
"1.335856832"
],
[
"1.580807625",
"1.339459032"
],
[
"1.011218505",
"1.339759306"
],
[
"0.723599334",
"1.34462391"
],
[
"0.161205095",
"1.370456551"
],
[
"1.831497217",
"1.38655831"
],
[
"1.156432381",
"1.420355507"
],
[
"1.43840233",
"1.424919836"
],
[
"0.86881321",
"1.425220111"
],
[
"0.583781306",
"1.434255022"
],
[
"0.431694796",
"1.500982159"
],
[
"1.583897143",
"1.505511048"
],
[
"1.014027085",
"1.505816312"
],
[
"0.241785169",
"1.515679376"
],
[
"1.748132458",
"1.530200693"
],
[
"0.714978827",
"1.536088356"
],
[
"1.321199281",
"1.54258998"
],
[
"1.160993754",
"1.586373612"
],
[
"0.87162179",
"1.591277117"
],
[
"0.565772526",
"1.612588886"
],
[
"1.466514955",
"1.623002492"
],
[
"0.347238375",
"1.643985411"
],
[
"1.626442888",
"1.669527938"
],
[
"1.018588459",
"1.671834417"
],
[
"0.7195402",
"1.702106461"
],
[
"1.321764723",
"1.708669772"
],
[
"0.474105335",
"1.751165594"
],
[
"1.162300168",
"1.755079609"
],
[
"0.876183164",
"1.757295222"
],
[
"1.467080397",
"1.789082285"
],
[
"0.618224196",
"1.833703895"
],
[
"1.286033799",
"1.87113892"
],
[
"0.77486716",
"1.888892656"
],
[
"1.104928512",
"1.910936308"
],
[
"0.938895575",
"1.914921416"
]
],
"radius": "0.083040377"
}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。