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 | [0.0851242907932574803025175997935, 0.0851242907932574803025175997945] | 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",
"0.085124291"
],
[
"1.210890593",
"0.109769995"
],
[
"0.789057421",
"0.109801388"
],
[
"0.611615264",
"0.171655349"
],
[
"1.388384736",
"0.171655349"
],
[
"0.910019949",
"0.229651693"
],
[
"1.089980051",
"0.229651693"
],
[
"0.464862614",
"0.257958531"
],
[
"1.535137386",
"0.257958531"
],
[
"0.746185093",
"0.27594121"
],
[
"1.253814907",
"0.27594121"
],
[
"0.336641358",
"0.369958036"
],
[
"1.663358642",
"0.369958036"
],
[
"1",
"0.374179095"
],
[
"0.497717477",
"0.425085738"
],
[
"1.502282523",
"0.425085738"
],
[
"0.667953532",
"0.427151006"
],
[
"0.838202113",
"0.427151006"
],
[
"1.161797887",
"0.427151006"
],
[
"1.332046468",
"0.427151006"
],
[
"0.231391701",
"0.503775408"
],
[
"1.768608299",
"0.503775408"
],
[
"1.609585554",
"0.564764121"
],
[
"0.389605779",
"0.56670047"
],
[
"0.574391073",
"0.577091459"
],
[
"1.425608927",
"0.577091459"
],
[
"0.744627128",
"0.579156727"
],
[
"0.914875709",
"0.579156727"
],
[
"1.085124291",
"0.579156727"
],
[
"1.255372872",
"0.579156727"
],
[
"0.152758355",
"0.654776655"
],
[
"1.847241645",
"0.654776655"
],
[
"0.473980343",
"0.714576966"
],
[
"1.526019657",
"0.714576966"
],
[
"1.342224918",
"0.725586713"
],
[
"0.657775022",
"0.725586834"
],
[
"0.829751418",
"0.726596324"
],
[
"1",
"0.726596324"
],
[
"1.170248582",
"0.726596324"
],
[
"0.30460217",
"0.731770391"
],
[
"1.69539783",
"0.731770391"
],
[
"0.103464333",
"0.817732719"
],
[
"1.896535667",
"0.817732719"
],
[
"0.404181199",
"0.86985948"
],
[
"1.595818801",
"0.86985948"
],
[
"0.574378546",
"0.87403592"
],
[
"0.744627128",
"0.87403592"
],
[
"0.914875709",
"0.87403592"
],
[
"1.085124291",
"0.87403592"
],
[
"1.255372872",
"0.87403592"
],
[
"1.425621454",
"0.87403592"
],
[
"0.240930741",
"0.918169597"
],
[
"1.759069259",
"0.918169597"
],
[
"1.91478335",
"0.987000559"
],
[
"0.08521665",
"0.987000559"
],
[
"1.514208911",
"1.01944886"
],
[
"0.486447826",
"1.019819216"
],
[
"0.659502837",
"1.021475517"
],
[
"0.829751418",
"1.021475517"
],
[
"1",
"1.021475517"
],
[
"1.170248582",
"1.021475517"
],
[
"1.340497163",
"1.021475517"
],
[
"0.254361299",
"1.087887597"
],
[
"1.745638701",
"1.087887597"
],
[
"0.098647208",
"1.15671856"
],
[
"1.901352792",
"1.15671856"
],
[
"0.404129979",
"1.168843893"
],
[
"1.595870021",
"1.168843893"
],
[
"0.574378546",
"1.168915114"
],
[
"0.744627128",
"1.168915114"
],
[
"0.914875709",
"1.168915114"
],
[
"1.085124291",
"1.168915114"
],
[
"1.255372872",
"1.168915114"
],
[
"1.425621454",
"1.168915114"
],
[
"0.313344662",
"1.312866827"
],
[
"1.686655338",
"1.312866827"
],
[
"0.489254255",
"1.31635471"
],
[
"0.659502837",
"1.31635471"
],
[
"0.829751418",
"1.31635471"
],
[
"1",
"1.31635471"
],
[
"1.170248582",
"1.31635471"
],
[
"1.340497163",
"1.31635471"
],
[
"1.510745745",
"1.31635471"
],
[
"0.143290917",
"1.321009517"
],
[
"1.856709083",
"1.321009517"
],
[
"0.398409974",
"1.46034046"
],
[
"1.601590026",
"1.46034046"
],
[
"0.744627128",
"1.463794307"
],
[
"0.914875709",
"1.463794307"
],
[
"1.085124291",
"1.463794307"
],
[
"1.255372872",
"1.463794307"
],
[
"1.425641621",
"1.463805951"
],
[
"0.574356965",
"1.463806764"
],
[
"0.2176018",
"1.474184163"
],
[
"1.7823982",
"1.474184163"
],
[
"0.31900653",
"1.610938177"
],
[
"1.68099347",
"1.610938177"
],
[
"0.659502837",
"1.611233903"
],
[
"0.829751418",
"1.611233903"
],
[
"1",
"1.611233903"
],
[
"1.170248582",
"1.611233903"
],
[
"1.340497163",
"1.611233903"
],
[
"0.489254378",
"1.611437965"
],
[
"1.510745622",
"1.611437965"
],
[
"0.914875709",
"1.7586735"
],
[
"1.085124291",
"1.7586735"
],
[
"1.309697062",
"1.778673246"
],
[
"0.690302938",
"1.778673246"
],
[
"0.520054478",
"1.778877307"
],
[
"1.479945522",
"1.778877307"
],
[
"0.813906301",
"1.895749239"
],
[
"1.186093699",
"1.895749239"
],
[
"1.000857508",
"1.914849499"
]
],
"radius": "0.08512429"
}{
"n": 113
}{
"centers": [
[
"1",
"0.085124291"
],
[
"1.210890593",
"0.109769995"
],
[
"0.789057421",
"0.109801388"
],
[
"0.611615264",
"0.171655349"
],
[
"1.388384736",
"0.171655349"
],
[
"0.910019949",
"0.229651693"
],
[
"1.089980051",
"0.229651693"
],
[
"0.464862614",
"0.257958531"
],
[
"1.535137386",
"0.257958531"
],
[
"0.746185093",
"0.27594121"
],
[
"1.253814907",
"0.27594121"
],
[
"0.336641358",
"0.369958036"
],
[
"1.663358642",
"0.369958036"
],
[
"1",
"0.374179095"
],
[
"0.497717477",
"0.425085738"
],
[
"1.502282523",
"0.425085738"
],
[
"0.667953532",
"0.427151006"
],
[
"0.838202113",
"0.427151006"
],
[
"1.161797887",
"0.427151006"
],
[
"1.332046468",
"0.427151006"
],
[
"0.231391701",
"0.503775408"
],
[
"1.768608299",
"0.503775408"
],
[
"1.609585554",
"0.564764121"
],
[
"0.389605779",
"0.56670047"
],
[
"0.574391073",
"0.577091459"
],
[
"1.425608927",
"0.577091459"
],
[
"0.744627128",
"0.579156727"
],
[
"0.914875709",
"0.579156727"
],
[
"1.085124291",
"0.579156727"
],
[
"1.255372872",
"0.579156727"
],
[
"0.152758355",
"0.654776655"
],
[
"1.847241645",
"0.654776655"
],
[
"0.473980343",
"0.714576966"
],
[
"1.526019657",
"0.714576966"
],
[
"1.342224918",
"0.725586713"
],
[
"0.657775022",
"0.725586834"
],
[
"0.829751418",
"0.726596324"
],
[
"1",
"0.726596324"
],
[
"1.170248582",
"0.726596324"
],
[
"0.30460217",
"0.731770391"
],
[
"1.69539783",
"0.731770391"
],
[
"0.103464333",
"0.817732719"
],
[
"1.896535667",
"0.817732719"
],
[
"0.404181199",
"0.86985948"
],
[
"1.595818801",
"0.86985948"
],
[
"0.574378546",
"0.87403592"
],
[
"0.744627128",
"0.87403592"
],
[
"0.914875709",
"0.87403592"
],
[
"1.085124291",
"0.87403592"
],
[
"1.255372872",
"0.87403592"
],
[
"1.425621454",
"0.87403592"
],
[
"0.240930741",
"0.918169597"
],
[
"1.759069259",
"0.918169597"
],
[
"1.91478335",
"0.987000559"
],
[
"0.08521665",
"0.987000559"
],
[
"1.514208911",
"1.01944886"
],
[
"0.486447826",
"1.019819216"
],
[
"0.659502837",
"1.021475517"
],
[
"0.829751418",
"1.021475517"
],
[
"1",
"1.021475517"
],
[
"1.170248582",
"1.021475517"
],
[
"1.340497163",
"1.021475517"
],
[
"0.254361299",
"1.087887597"
],
[
"1.745638701",
"1.087887597"
],
[
"0.098647208",
"1.15671856"
],
[
"1.901352792",
"1.15671856"
],
[
"0.404129979",
"1.168843893"
],
[
"1.595870021",
"1.168843893"
],
[
"0.574378546",
"1.168915114"
],
[
"0.744627128",
"1.168915114"
],
[
"0.914875709",
"1.168915114"
],
[
"1.085124291",
"1.168915114"
],
[
"1.255372872",
"1.168915114"
],
[
"1.425621454",
"1.168915114"
],
[
"0.313344662",
"1.312866827"
],
[
"1.686655338",
"1.312866827"
],
[
"0.489254255",
"1.31635471"
],
[
"0.659502837",
"1.31635471"
],
[
"0.829751418",
"1.31635471"
],
[
"1",
"1.31635471"
],
[
"1.170248582",
"1.31635471"
],
[
"1.340497163",
"1.31635471"
],
[
"1.510745745",
"1.31635471"
],
[
"0.143290917",
"1.321009517"
],
[
"1.856709083",
"1.321009517"
],
[
"0.398409974",
"1.46034046"
],
[
"1.601590026",
"1.46034046"
],
[
"0.744627128",
"1.463794307"
],
[
"0.914875709",
"1.463794307"
],
[
"1.085124291",
"1.463794307"
],
[
"1.255372872",
"1.463794307"
],
[
"1.425641621",
"1.463805951"
],
[
"0.574356965",
"1.463806764"
],
[
"0.2176018",
"1.474184163"
],
[
"1.7823982",
"1.474184163"
],
[
"0.31900653",
"1.610938177"
],
[
"1.68099347",
"1.610938177"
],
[
"0.659502837",
"1.611233903"
],
[
"0.829751418",
"1.611233903"
],
[
"1",
"1.611233903"
],
[
"1.170248582",
"1.611233903"
],
[
"1.340497163",
"1.611233903"
],
[
"0.489254378",
"1.611437965"
],
[
"1.510745622",
"1.611437965"
],
[
"0.914875709",
"1.7586735"
],
[
"1.085124291",
"1.7586735"
],
[
"1.309697062",
"1.778673246"
],
[
"0.690302938",
"1.778673246"
],
[
"0.520054478",
"1.778877307"
],
[
"1.479945522",
"1.778877307"
],
[
"0.813906301",
"1.895749239"
],
[
"1.186093699",
"1.895749239"
],
[
"1.000857508",
"1.914849499"
]
],
"radius": "0.08512429"
}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。