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 | [0.0837277220489576174423523740285, 0.0837277220489576174423523740295] | 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": [
[
"1.018941698",
"0.08392353"
],
[
"0.82370883",
"0.100846892"
],
[
"1.185344581",
"0.102669362"
],
[
"0.663013629",
"0.147946555"
],
[
"1.345556912",
"0.151386244"
],
[
"0.513573851",
"0.223504998"
],
[
"0.933052552",
"0.227674635"
],
[
"1.494227564",
"0.228447019"
],
[
"1.100107159",
"0.250695395"
],
[
"1.265499016",
"0.298464655"
],
[
"0.653533374",
"0.315443334"
],
[
"0.380380817",
"0.324998552"
],
[
"1.627217745",
"0.332188737"
],
[
"0.817598922",
"0.348966783"
],
[
"0.980367818",
"0.388306485"
],
[
"1.459640434",
"0.392291629"
],
[
"1.145619484",
"0.415384386"
],
[
"0.52034034",
"0.416936888"
],
[
"0.267883206",
"0.449037309"
],
[
"1.738372067",
"0.457449009"
],
[
"1.306814707",
"0.460743241"
],
[
"0.690185496",
"0.4788384"
],
[
"1.579218229",
"0.509519938"
],
[
"0.854251045",
"0.512361849"
],
[
"1.017019941",
"0.551701552"
],
[
"0.388981721",
"0.566417403"
],
[
"1.182271607",
"0.578779452"
],
[
"0.556992463",
"0.580331954"
],
[
"0.179838464",
"0.591478346"
],
[
"1.824781478",
"0.600887984"
],
[
"1.34346683",
"0.624138307"
],
[
"0.740307572",
"0.638616694"
],
[
"1.506913255",
"0.660560716"
],
[
"1.673870817",
"0.673464139"
],
[
"0.903753997",
"0.675039103"
],
[
"0.297710049",
"0.710422094"
],
[
"1.067200422",
"0.711461513"
],
[
"0.464881084",
"0.720177653"
],
[
"0.119187305",
"0.747564101"
],
[
"1.230646847",
"0.747883922"
],
[
"1.883642998",
"0.757657392"
],
[
"0.627041628",
"0.761954246"
],
[
"1.394093272",
"0.784306331"
],
[
"0.790488053",
"0.798376655"
],
[
"1.579217344",
"0.811601917"
],
[
"0.953934478",
"0.834799064"
],
[
"1.742663769",
"0.848024326"
],
[
"0.345815991",
"0.870818927"
],
[
"1.117380903",
"0.871221473"
],
[
"0.512626253",
"0.885504394"
],
[
"1.280827328",
"0.907643882"
],
[
"0.087955492",
"0.912081272"
],
[
"0.677222109",
"0.921714207"
],
[
"1.912990639",
"0.922521098"
],
[
"1.444273753",
"0.944066291"
],
[
"0.840668534",
"0.958136616"
],
[
"1.608564986",
"0.976465624"
],
[
"1.004114959",
"0.994559025"
],
[
"0.233452231",
"0.994978949"
],
[
"1.772011411",
"1.012888033"
],
[
"0.397159844",
"1.030208809"
],
[
"1.167561384",
"1.030981434"
],
[
"0.563956165",
"1.045051759"
],
[
"1.331007809",
"1.067403843"
],
[
"0.087186175",
"1.079534949"
],
[
"0.72740259",
"1.081474168"
],
[
"1.494454234",
"1.103826252"
],
[
"1.909741409",
"1.108764877"
],
[
"0.890849015",
"1.117896577"
],
[
"1.658745467",
"1.136225584"
],
[
"1.05429544",
"1.154318986"
],
[
"0.261604754",
"1.160050937"
],
[
"1.217741865",
"1.190741395"
],
[
"0.425312367",
"1.195280797"
],
[
"0.598123535",
"1.209660083"
],
[
"1.38118829",
"1.227163804"
],
[
"0.777583071",
"1.241234129"
],
[
"0.116905049",
"1.24433214"
],
[
"1.544634715",
"1.263586213"
],
[
"1.874746806",
"1.272644043"
],
[
"0.941029496",
"1.277656538"
],
[
"1.708925948",
"1.295985545"
],
[
"1.104475921",
"1.314078947"
],
[
"0.329112784",
"1.332346351"
],
[
"0.499838532",
"1.345238046"
],
[
"1.267922346",
"1.350501356"
],
[
"0.665990878",
"1.366088076"
],
[
"0.176119497",
"1.400968582"
],
[
"1.452817423",
"1.403625174"
],
[
"0.824723334",
"1.419429739"
],
[
"1.808959269",
"1.430278733"
],
[
"1.617108655",
"1.436024506"
],
[
"0.991209977",
"1.437416498"
],
[
"1.153753841",
"1.477865486"
],
[
"0.422532758",
"1.493781451"
],
[
"1.322517418",
"1.508807085"
],
[
"0.691331187",
"1.531615096"
],
[
"0.262851742",
"1.544212581"
],
[
"1.717141977",
"1.570317694"
],
[
"1.478469336",
"1.574905394"
],
[
"0.850063643",
"1.58495676"
],
[
"1.016550286",
"1.602943519"
],
[
"0.543261402",
"1.609824204"
],
[
"1.177727889",
"1.648364947"
],
[
"0.376420472",
"1.670685174"
],
[
"1.343051712",
"1.674998747"
],
[
"1.601371978",
"1.691307914"
],
[
"0.724362565",
"1.695995229"
],
[
"0.891316335",
"1.747251372"
],
[
"1.057802977",
"1.765238131"
],
[
"0.509296233",
"1.773798876"
],
[
"1.465516017",
"1.78920829"
],
[
"0.658316773",
"1.850180839"
],
[
"1.314111715",
"1.860748928"
],
[
"0.818749611",
"1.898166568"
],
[
"1.152216009",
"1.903540355"
],
[
"0.985236254",
"1.916153327"
]
],
"radius": "0.083727721"
}{
"n": 117
}{
"centers": [
[
"1.018941698",
"0.08392353"
],
[
"0.82370883",
"0.100846892"
],
[
"1.185344581",
"0.102669362"
],
[
"0.663013629",
"0.147946555"
],
[
"1.345556912",
"0.151386244"
],
[
"0.513573851",
"0.223504998"
],
[
"0.933052552",
"0.227674635"
],
[
"1.494227564",
"0.228447019"
],
[
"1.100107159",
"0.250695395"
],
[
"1.265499016",
"0.298464655"
],
[
"0.653533374",
"0.315443334"
],
[
"0.380380817",
"0.324998552"
],
[
"1.627217745",
"0.332188737"
],
[
"0.817598922",
"0.348966783"
],
[
"0.980367818",
"0.388306485"
],
[
"1.459640434",
"0.392291629"
],
[
"1.145619484",
"0.415384386"
],
[
"0.52034034",
"0.416936888"
],
[
"0.267883206",
"0.449037309"
],
[
"1.738372067",
"0.457449009"
],
[
"1.306814707",
"0.460743241"
],
[
"0.690185496",
"0.4788384"
],
[
"1.579218229",
"0.509519938"
],
[
"0.854251045",
"0.512361849"
],
[
"1.017019941",
"0.551701552"
],
[
"0.388981721",
"0.566417403"
],
[
"1.182271607",
"0.578779452"
],
[
"0.556992463",
"0.580331954"
],
[
"0.179838464",
"0.591478346"
],
[
"1.824781478",
"0.600887984"
],
[
"1.34346683",
"0.624138307"
],
[
"0.740307572",
"0.638616694"
],
[
"1.506913255",
"0.660560716"
],
[
"1.673870817",
"0.673464139"
],
[
"0.903753997",
"0.675039103"
],
[
"0.297710049",
"0.710422094"
],
[
"1.067200422",
"0.711461513"
],
[
"0.464881084",
"0.720177653"
],
[
"0.119187305",
"0.747564101"
],
[
"1.230646847",
"0.747883922"
],
[
"1.883642998",
"0.757657392"
],
[
"0.627041628",
"0.761954246"
],
[
"1.394093272",
"0.784306331"
],
[
"0.790488053",
"0.798376655"
],
[
"1.579217344",
"0.811601917"
],
[
"0.953934478",
"0.834799064"
],
[
"1.742663769",
"0.848024326"
],
[
"0.345815991",
"0.870818927"
],
[
"1.117380903",
"0.871221473"
],
[
"0.512626253",
"0.885504394"
],
[
"1.280827328",
"0.907643882"
],
[
"0.087955492",
"0.912081272"
],
[
"0.677222109",
"0.921714207"
],
[
"1.912990639",
"0.922521098"
],
[
"1.444273753",
"0.944066291"
],
[
"0.840668534",
"0.958136616"
],
[
"1.608564986",
"0.976465624"
],
[
"1.004114959",
"0.994559025"
],
[
"0.233452231",
"0.994978949"
],
[
"1.772011411",
"1.012888033"
],
[
"0.397159844",
"1.030208809"
],
[
"1.167561384",
"1.030981434"
],
[
"0.563956165",
"1.045051759"
],
[
"1.331007809",
"1.067403843"
],
[
"0.087186175",
"1.079534949"
],
[
"0.72740259",
"1.081474168"
],
[
"1.494454234",
"1.103826252"
],
[
"1.909741409",
"1.108764877"
],
[
"0.890849015",
"1.117896577"
],
[
"1.658745467",
"1.136225584"
],
[
"1.05429544",
"1.154318986"
],
[
"0.261604754",
"1.160050937"
],
[
"1.217741865",
"1.190741395"
],
[
"0.425312367",
"1.195280797"
],
[
"0.598123535",
"1.209660083"
],
[
"1.38118829",
"1.227163804"
],
[
"0.777583071",
"1.241234129"
],
[
"0.116905049",
"1.24433214"
],
[
"1.544634715",
"1.263586213"
],
[
"1.874746806",
"1.272644043"
],
[
"0.941029496",
"1.277656538"
],
[
"1.708925948",
"1.295985545"
],
[
"1.104475921",
"1.314078947"
],
[
"0.329112784",
"1.332346351"
],
[
"0.499838532",
"1.345238046"
],
[
"1.267922346",
"1.350501356"
],
[
"0.665990878",
"1.366088076"
],
[
"0.176119497",
"1.400968582"
],
[
"1.452817423",
"1.403625174"
],
[
"0.824723334",
"1.419429739"
],
[
"1.808959269",
"1.430278733"
],
[
"1.617108655",
"1.436024506"
],
[
"0.991209977",
"1.437416498"
],
[
"1.153753841",
"1.477865486"
],
[
"0.422532758",
"1.493781451"
],
[
"1.322517418",
"1.508807085"
],
[
"0.691331187",
"1.531615096"
],
[
"0.262851742",
"1.544212581"
],
[
"1.717141977",
"1.570317694"
],
[
"1.478469336",
"1.574905394"
],
[
"0.850063643",
"1.58495676"
],
[
"1.016550286",
"1.602943519"
],
[
"0.543261402",
"1.609824204"
],
[
"1.177727889",
"1.648364947"
],
[
"0.376420472",
"1.670685174"
],
[
"1.343051712",
"1.674998747"
],
[
"1.601371978",
"1.691307914"
],
[
"0.724362565",
"1.695995229"
],
[
"0.891316335",
"1.747251372"
],
[
"1.057802977",
"1.765238131"
],
[
"0.509296233",
"1.773798876"
],
[
"1.465516017",
"1.78920829"
],
[
"0.658316773",
"1.850180839"
],
[
"1.314111715",
"1.860748928"
],
[
"0.818749611",
"1.898166568"
],
[
"1.152216009",
"1.903540355"
],
[
"0.985236254",
"1.916153327"
]
],
"radius": "0.083727721"
}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。