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 | [0.0796576770671033608760031434705, 0.0796576770671033608760031434715] | 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": [
[
"0.862190186",
"0.090033821"
],
[
"1.166058127",
"0.094762633"
],
[
"0.707326855",
"0.127433429"
],
[
"1.319682719",
"0.13696295"
],
[
"1.013379238",
"0.140265809"
],
[
"0.561233518",
"0.190979626"
],
[
"1.463727971",
"0.205024302"
],
[
"0.844843237",
"0.248401954"
],
[
"0.428287886",
"0.278768241"
],
[
"0.689979906",
"0.285801561"
],
[
"1.161682329",
"0.29236306"
],
[
"1.327406242",
"0.296090978"
],
[
"1.593877543",
"0.296907221"
],
[
"0.99603229",
"0.298633941"
],
[
"0.594943961",
"0.413666925"
],
[
"1.42446949",
"0.422424298"
],
[
"0.278413732",
"0.428735395"
],
[
"1.243311621",
"0.431403493"
],
[
"1.083996279",
"0.431463602"
],
[
"0.912246214",
"0.434137725"
],
[
"0.752930871",
"0.434197834"
],
[
"0.43746993",
"0.437818774"
],
[
"1.739561777",
"0.452205907"
],
[
"1.580283472",
"0.455641538"
],
[
"0.350075394",
"0.571023793"
],
[
"0.184943155",
"0.572564974"
],
[
"1.473609507",
"0.573971785"
],
[
"0.995663395",
"0.574005682"
],
[
"1.314294165",
"0.574031894"
],
[
"1.154978822",
"0.574092002"
],
[
"0.836348136",
"0.57421222"
],
[
"0.677032794",
"0.574272328"
],
[
"0.517721757",
"0.575445176"
],
[
"1.823276476",
"0.588619147"
],
[
"1.662897969",
"0.591862781"
],
[
"1.55619667",
"0.710246168"
],
[
"1.394003892",
"0.711972973"
],
[
"1.234688549",
"0.712033082"
],
[
"1.075373206",
"0.712093191"
],
[
"0.916057863",
"0.712153299"
],
[
"0.756742521",
"0.712213408"
],
[
"0.597431484",
"0.713386256"
],
[
"0.438116141",
"0.713446364"
],
[
"0.278800798",
"0.713506473"
],
[
"0.120294408",
"0.729541013"
],
[
"1.739646453",
"0.731473139"
],
[
"1.89264183",
"0.775900571"
],
[
"1.633028962",
"0.849854272"
],
[
"1.473713619",
"0.849914053"
],
[
"1.314398276",
"0.849974162"
],
[
"1.155082933",
"0.85003427"
],
[
"0.99576759",
"0.850094379"
],
[
"0.836452248",
"0.850154488"
],
[
"0.677141211",
"0.851327335"
],
[
"0.517825868",
"0.851387444"
],
[
"0.358510525",
"0.851447553"
],
[
"0.159525125",
"0.88395064"
],
[
"1.786024339",
"0.894281703"
],
[
"1.920131159",
"0.980286022"
],
[
"1.554423298",
"0.988427472"
],
[
"1.395073816",
"0.988467882"
],
[
"1.235758473",
"0.988527991"
],
[
"1.076443131",
"0.988588099"
],
[
"0.917127788",
"0.988648208"
],
[
"0.757812445",
"0.988708317"
],
[
"0.597535595",
"0.989328524"
],
[
"0.438220252",
"0.989388632"
],
[
"0.278904909",
"0.989448741"
],
[
"0.07991951",
"1.021951829"
],
[
"1.775638175",
"1.053258147"
],
[
"1.634098896",
"1.126388268"
],
[
"1.474783543",
"1.126408962"
],
[
"1.3154682",
"1.12646907"
],
[
"1.156152858",
"1.126529179"
],
[
"0.996837515",
"1.126589288"
],
[
"0.837522172",
"1.126649396"
],
[
"0.678206829",
"1.126709505"
],
[
"0.517929979",
"1.127329712"
],
[
"0.358614636",
"1.127389821"
],
[
"0.199299294",
"1.12744993"
],
[
"1.909744996",
"1.139262465"
],
[
"1.715810733",
"1.263152875"
],
[
"1.395177927",
"1.26441015"
],
[
"1.235862585",
"1.264470259"
],
[
"1.076547242",
"1.264530367"
],
[
"0.917231899",
"1.264590476"
],
[
"0.757916556",
"1.264650585"
],
[
"0.598601213",
"1.264710694"
],
[
"0.118574271",
"1.264799312"
],
[
"0.438324363",
"1.265330901"
],
[
"0.279009021",
"1.265391009"
],
[
"1.556513191",
"1.265535098"
],
[
"1.872098185",
"1.294065888"
],
[
"1.474887654",
"1.40235123"
],
[
"1.315572312",
"1.402411338"
],
[
"1.156256969",
"1.402471447"
],
[
"0.996941626",
"1.402531556"
],
[
"0.837626283",
"1.402591665"
],
[
"0.678310941",
"1.402651773"
],
[
"0.518995598",
"1.402711882"
],
[
"1.652031369",
"1.409144568"
],
[
"0.177446223",
"1.412838075"
],
[
"0.336758227",
"1.413871349"
],
[
"1.808318821",
"1.440057582"
],
[
"1.5583865",
"1.538032197"
],
[
"0.435857324",
"1.538614088"
],
[
"1.395282039",
"1.540352418"
],
[
"1.235966696",
"1.540412527"
],
[
"1.076651353",
"1.540472636"
],
[
"0.91733601",
"1.540532744"
],
[
"0.758020668",
"1.540592853"
],
[
"0.59838902",
"1.540861892"
],
[
"0.267695842",
"1.55744785"
],
[
"1.72031806",
"1.572862884"
],
[
"1.61073286",
"1.688502263"
],
[
"1.45142032",
"1.689449284"
],
[
"1.292104977",
"1.689509393"
],
[
"1.132789635",
"1.689569501"
],
[
"0.393436",
"1.692177799"
],
[
"0.871373743",
"1.693074057"
],
[
"0.712058401",
"1.693134166"
],
[
"0.552744059",
"1.69370232"
],
[
"1.003302468",
"1.782383595"
],
[
"1.386847991",
"1.835091985"
],
[
"1.227532648",
"1.835152094"
],
[
"0.779200156",
"1.837610346"
],
[
"0.619885815",
"1.8381785"
],
[
"1.090203312",
"1.915911215"
],
[
"0.917531951",
"1.916640067"
]
],
"radius": "0.079657676"
}{
"n": 129
}{
"centers": [
[
"0.862190186",
"0.090033821"
],
[
"1.166058127",
"0.094762633"
],
[
"0.707326855",
"0.127433429"
],
[
"1.319682719",
"0.13696295"
],
[
"1.013379238",
"0.140265809"
],
[
"0.561233518",
"0.190979626"
],
[
"1.463727971",
"0.205024302"
],
[
"0.844843237",
"0.248401954"
],
[
"0.428287886",
"0.278768241"
],
[
"0.689979906",
"0.285801561"
],
[
"1.161682329",
"0.29236306"
],
[
"1.327406242",
"0.296090978"
],
[
"1.593877543",
"0.296907221"
],
[
"0.99603229",
"0.298633941"
],
[
"0.594943961",
"0.413666925"
],
[
"1.42446949",
"0.422424298"
],
[
"0.278413732",
"0.428735395"
],
[
"1.243311621",
"0.431403493"
],
[
"1.083996279",
"0.431463602"
],
[
"0.912246214",
"0.434137725"
],
[
"0.752930871",
"0.434197834"
],
[
"0.43746993",
"0.437818774"
],
[
"1.739561777",
"0.452205907"
],
[
"1.580283472",
"0.455641538"
],
[
"0.350075394",
"0.571023793"
],
[
"0.184943155",
"0.572564974"
],
[
"1.473609507",
"0.573971785"
],
[
"0.995663395",
"0.574005682"
],
[
"1.314294165",
"0.574031894"
],
[
"1.154978822",
"0.574092002"
],
[
"0.836348136",
"0.57421222"
],
[
"0.677032794",
"0.574272328"
],
[
"0.517721757",
"0.575445176"
],
[
"1.823276476",
"0.588619147"
],
[
"1.662897969",
"0.591862781"
],
[
"1.55619667",
"0.710246168"
],
[
"1.394003892",
"0.711972973"
],
[
"1.234688549",
"0.712033082"
],
[
"1.075373206",
"0.712093191"
],
[
"0.916057863",
"0.712153299"
],
[
"0.756742521",
"0.712213408"
],
[
"0.597431484",
"0.713386256"
],
[
"0.438116141",
"0.713446364"
],
[
"0.278800798",
"0.713506473"
],
[
"0.120294408",
"0.729541013"
],
[
"1.739646453",
"0.731473139"
],
[
"1.89264183",
"0.775900571"
],
[
"1.633028962",
"0.849854272"
],
[
"1.473713619",
"0.849914053"
],
[
"1.314398276",
"0.849974162"
],
[
"1.155082933",
"0.85003427"
],
[
"0.99576759",
"0.850094379"
],
[
"0.836452248",
"0.850154488"
],
[
"0.677141211",
"0.851327335"
],
[
"0.517825868",
"0.851387444"
],
[
"0.358510525",
"0.851447553"
],
[
"0.159525125",
"0.88395064"
],
[
"1.786024339",
"0.894281703"
],
[
"1.920131159",
"0.980286022"
],
[
"1.554423298",
"0.988427472"
],
[
"1.395073816",
"0.988467882"
],
[
"1.235758473",
"0.988527991"
],
[
"1.076443131",
"0.988588099"
],
[
"0.917127788",
"0.988648208"
],
[
"0.757812445",
"0.988708317"
],
[
"0.597535595",
"0.989328524"
],
[
"0.438220252",
"0.989388632"
],
[
"0.278904909",
"0.989448741"
],
[
"0.07991951",
"1.021951829"
],
[
"1.775638175",
"1.053258147"
],
[
"1.634098896",
"1.126388268"
],
[
"1.474783543",
"1.126408962"
],
[
"1.3154682",
"1.12646907"
],
[
"1.156152858",
"1.126529179"
],
[
"0.996837515",
"1.126589288"
],
[
"0.837522172",
"1.126649396"
],
[
"0.678206829",
"1.126709505"
],
[
"0.517929979",
"1.127329712"
],
[
"0.358614636",
"1.127389821"
],
[
"0.199299294",
"1.12744993"
],
[
"1.909744996",
"1.139262465"
],
[
"1.715810733",
"1.263152875"
],
[
"1.395177927",
"1.26441015"
],
[
"1.235862585",
"1.264470259"
],
[
"1.076547242",
"1.264530367"
],
[
"0.917231899",
"1.264590476"
],
[
"0.757916556",
"1.264650585"
],
[
"0.598601213",
"1.264710694"
],
[
"0.118574271",
"1.264799312"
],
[
"0.438324363",
"1.265330901"
],
[
"0.279009021",
"1.265391009"
],
[
"1.556513191",
"1.265535098"
],
[
"1.872098185",
"1.294065888"
],
[
"1.474887654",
"1.40235123"
],
[
"1.315572312",
"1.402411338"
],
[
"1.156256969",
"1.402471447"
],
[
"0.996941626",
"1.402531556"
],
[
"0.837626283",
"1.402591665"
],
[
"0.678310941",
"1.402651773"
],
[
"0.518995598",
"1.402711882"
],
[
"1.652031369",
"1.409144568"
],
[
"0.177446223",
"1.412838075"
],
[
"0.336758227",
"1.413871349"
],
[
"1.808318821",
"1.440057582"
],
[
"1.5583865",
"1.538032197"
],
[
"0.435857324",
"1.538614088"
],
[
"1.395282039",
"1.540352418"
],
[
"1.235966696",
"1.540412527"
],
[
"1.076651353",
"1.540472636"
],
[
"0.91733601",
"1.540532744"
],
[
"0.758020668",
"1.540592853"
],
[
"0.59838902",
"1.540861892"
],
[
"0.267695842",
"1.55744785"
],
[
"1.72031806",
"1.572862884"
],
[
"1.61073286",
"1.688502263"
],
[
"1.45142032",
"1.689449284"
],
[
"1.292104977",
"1.689509393"
],
[
"1.132789635",
"1.689569501"
],
[
"0.393436",
"1.692177799"
],
[
"0.871373743",
"1.693074057"
],
[
"0.712058401",
"1.693134166"
],
[
"0.552744059",
"1.69370232"
],
[
"1.003302468",
"1.782383595"
],
[
"1.386847991",
"1.835091985"
],
[
"1.227532648",
"1.835152094"
],
[
"0.779200156",
"1.837610346"
],
[
"0.619885815",
"1.8381785"
],
[
"1.090203312",
"1.915911215"
],
[
"0.917531951",
"1.916640067"
]
],
"radius": "0.079657676"
}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。