文献中也称circles in arbitrary trianglesunit circles in a minimum-area trianglecircle packing in a triangle of variable shape
在任意三角形中放置 n 个半径为 1、内部互不重叠的圆；三角形的三个顶点也是答案的一部分。让这个三角形的面积尽可能小。
普通装箱只移动圆；这里连三条边的方向都能改变。一条边转动一点，可能同时释放多个接触，也可能让整套构形失稳。
候选最优解通常由圆—圆、圆—边相切关系卡死。真正的搜索不是把圆平均铺开，而是在大量可能的接触图之间找到对的那一张。
Friedman 的公开表给出了 n≤50 的当前最好已知构形。n=1、2 已证明，n=3 仍是简单的等边三角形排布，因此本站从 n=4 开放；匹配公开构形只是到达前沿，打破它们才是新纪录。
查看来源
三角形面积
坐标单位就是圆的半径：每个圆半径固定为 1。三个顶点和所有圆心都写在 0≤x,y≤200 的坐标框内，顶点必须逆时针排列。
提交按逆时针排列的三个顶点 triangle，以及恰好 n 个圆心 centers。圆的半径固定为 1；所有数写成最多九位小数的字符串。
{
"centers": [
[
"7.949424282",
"16.871811372"
],
[
"9.007290251",
"15.124754122"
],
[
"7.015752263",
"14.940970221"
],
[
"8.170682784",
"13.308139682"
],
[
"10.162220772",
"13.124355781"
],
[
"6.209919656",
"12.913921423"
],
[
"9.068450872",
"11.449939983"
],
[
"11.162220781",
"11.392304957"
],
[
"6.643383847",
"10.961459164"
],
[
"4.987718360",
"9.839509133"
],
[
"8.162220752",
"9.660254132"
],
[
"10.162220772",
"9.660254132"
],
[
"12.162220791",
"9.660254132"
],
[
"7.067848204",
"7.986232356"
],
[
"9.162220762",
"7.928203308"
],
[
"13.162220801",
"7.928203308"
],
[
"5.022760369",
"7.839816122"
],
[
"11.162220781",
"7.928203308"
],
[
"3.624343945",
"6.409979915"
],
[
"6.162220733",
"6.196152483"
],
[
"8.162220752",
"6.196152483"
],
[
"10.162220772",
"6.196152483"
],
[
"12.162220791",
"6.196152483"
],
[
"14.162220811",
"6.196152483"
],
[
"3.162220703",
"4.464101659"
],
[
"5.162220723",
"4.464101659"
],
[
"7.162220742",
"4.464101659"
],
[
"9.162220762",
"4.464101659"
],
[
"11.162220781",
"4.464101659"
],
[
"13.162220801",
"4.464101659"
],
[
"15.162220820",
"4.464101659"
],
[
"2.162220694",
"2.732050834"
],
[
"4.162220713",
"2.732050834"
],
[
"6.162220733",
"2.732050834"
],
[
"8.162220752",
"2.732050834"
],
[
"10.162220772",
"2.732050834"
],
[
"12.162220791",
"2.732050834"
],
[
"14.162220811",
"2.732050834"
],
[
"16.162220830",
"2.732050834"
],
[
"9.162220762",
"1.000000010"
],
[
"11.162220781",
"1.000000010"
],
[
"3.162220703",
"1.000000010"
],
[
"5.162220723",
"1.000000010"
],
[
"7.162220742",
"1.000000010"
],
[
"13.162220801",
"1.000000010"
],
[
"15.162220820",
"1.000000010"
],
[
"17.162220840",
"1.000000010"
]
],
"triangle": [
[
"0.000000000",
"0.000000000"
],
[
"18.894271664",
"0.000000000"
],
[
"7.704689378",
"19.380925036"
]
]
}{
"n": 47
}{
"centers": [
[
"7.949424282",
"16.871811372"
],
[
"9.007290251",
"15.124754122"
],
[
"7.015752263",
"14.940970221"
],
[
"8.170682784",
"13.308139682"
],
[
"10.162220772",
"13.124355781"
],
[
"6.209919656",
"12.913921423"
],
[
"9.068450872",
"11.449939983"
],
[
"11.162220781",
"11.392304957"
],
[
"6.643383847",
"10.961459164"
],
[
"4.987718360",
"9.839509133"
],
[
"8.162220752",
"9.660254132"
],
[
"10.162220772",
"9.660254132"
],
[
"12.162220791",
"9.660254132"
],
[
"7.067848204",
"7.986232356"
],
[
"9.162220762",
"7.928203308"
],
[
"13.162220801",
"7.928203308"
],
[
"5.022760369",
"7.839816122"
],
[
"11.162220781",
"7.928203308"
],
[
"3.624343945",
"6.409979915"
],
[
"6.162220733",
"6.196152483"
],
[
"8.162220752",
"6.196152483"
],
[
"10.162220772",
"6.196152483"
],
[
"12.162220791",
"6.196152483"
],
[
"14.162220811",
"6.196152483"
],
[
"3.162220703",
"4.464101659"
],
[
"5.162220723",
"4.464101659"
],
[
"7.162220742",
"4.464101659"
],
[
"9.162220762",
"4.464101659"
],
[
"11.162220781",
"4.464101659"
],
[
"13.162220801",
"4.464101659"
],
[
"15.162220820",
"4.464101659"
],
[
"2.162220694",
"2.732050834"
],
[
"4.162220713",
"2.732050834"
],
[
"6.162220733",
"2.732050834"
],
[
"8.162220752",
"2.732050834"
],
[
"10.162220772",
"2.732050834"
],
[
"12.162220791",
"2.732050834"
],
[
"14.162220811",
"2.732050834"
],
[
"16.162220830",
"2.732050834"
],
[
"9.162220762",
"1.000000010"
],
[
"11.162220781",
"1.000000010"
],
[
"3.162220703",
"1.000000010"
],
[
"5.162220723",
"1.000000010"
],
[
"7.162220742",
"1.000000010"
],
[
"13.162220801",
"1.000000010"
],
[
"15.162220820",
"1.000000010"
],
[
"17.162220840",
"1.000000010"
]
],
"triangle": [
[
"0.000000000",
"0.000000000"
],
[
"18.894271664",
"0.000000000"
],
[
"7.704689378",
"19.380925036"
]
]
}提交按逆时针排列的三个顶点 triangle，以及恰好 n 个圆心 centers。圆的半径固定为 1；所有数写成最多九位小数的字符串。 · 验证器 v1.0.0
聊思路、贴方法、问为什么卡住。发帖即公开署名，与纪录同一个名字；署名后的 #编号是账号的注册序号，冒不了名。发言资格与实绩绑定：破过一次纪录，就永久拥有发言权。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？