{"id":32272,"date":"2022-02-06T21:19:42","date_gmt":"2022-02-06T13:19:42","guid":{"rendered":"https:\/\/swarma.org\/?p=32272"},"modified":"2022-02-06T21:19:42","modified_gmt":"2022-02-06T13:19:42","slug":"%e7%ae%80%e6%8d%b7%e4%b8%8d%e7%ae%80%e5%8d%95-%e5%ba%94%e7%94%a8netlogo%e7%bc%96%e7%a8%8b%e6%a8%a1%e6%8b%9f%e9%9b%aa%e8%8a%b1%e7%94%9f%e6%88%90","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=32272","title":{"rendered":"\u7b80\u6377\u4e0d\u7b80\u5355\u2014\u2014\u5e94\u7528Netlogo\u7f16\u7a0b\u6a21\u62df\u96ea\u82b1\u751f\u6210"},"content":{"rendered":"
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\u56fe\u7247\u6765\u6e90\uff1ahttps:\/\/www.163.com\/dy\/article\/GULGK13205346RC6.html<\/span><\/p>\n


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\u56fe\u7247\u6765\u6e90\uff1ahttps:\/\/www.163.com\/dy\/article\/GVDN6BUH0534A4RJ.html<\/span><\/p>\n


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\u56fe\u7247\u6765\u6e90\uff1aS.Wolfram.A New Kind of Science.Wolfram Media,2002.<\/span><\/p>\n


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\u96c6\u667a\u4ff1\u4e50\u90e8\u590d\u6742\u7cfb\u7edf\u7ba1\u7406\u5b66\u8bfb\u4e66\u4f1a<\/a>\u63a8\u8350\u4e66\u76ee\u300aA New Kind of Science\u300b\u4e2d\u7528\u5143\u80de\u81ea\u52a8\u673a\u6309\u7167\u201c\u4ece\u4e00\u4e2a\u516d\u8fb9\u5f62\u7684\u9ed1\u8272\u5143\u80de\u5f00\u59cb\uff0c\u5982\u679c\u4e00\u4e2a\u5143\u80de\u76f8\u90bb\u7684\u5143\u80de\u6709\u9ed1\u8272\u7684\u8bdd\uff0c\u8fd9\u4e2a\u5143\u80de\u5c31\u53d8\u4e3a\u9ed1\u8272\u3002\u201d\u8fd9\u4e00\u7b80\u5355\u7684\u89c4\u5219\u5f97\u523031\u6b65\u6591\u56fe\u3002<\/span><\/p>\n


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1\u67085\u65e5\u4ec7\u73ae\u794e\u8001\u5e08\u5728\u81ea\u751f\u6210\u7ed3\u6784\u8bfb\u4e66\u4f1a\u4ea4\u6d41\u7fa4\u4e2d\u63a8\u9001\u4e86\u300a\u4e3a\u5565\u96ea\u82b1\u957f\u8fd9\u6837\uff1f\u300b\u4e00\u6587[3]\u3002\u518d\u56de\u6eaf\u52302018\u5e749\u6708\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u53d1\u5e03\u4e86\u300a\u51b0\u96ea\u5947\u7f18\uff1a\u4e3a\u4ec0\u4e48\u4e00\u7c92\u7070\u5c18\u53ef\u4ee5\u957f\u6210\u516d\u8fb9\u5f62\u7684\u96ea\u82b1\uff1f<\/a>\u300b[4]<\/span><\/p>\n


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\u5728\u300aNetlogo\u591a\u4e3b\u4f53\u5efa\u6a21\u300b\u8bfe\u7a0b\u4e2d\uff0c\u5f20\u6c5f\u6559\u6388\u4e3b\u5f20\uff1a\u5bf9\u590d\u6742\u79d1\u5b66\u6700\u597d\u7684\u5165\u95e8\u624b\u6bb5\u5c31\u662f\u81ea\u5df1\u4eb2\u624b\u5728\u8ba1\u7b97\u673a\u4e2d\u642d\u5efa\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\u3002Netlogo\u5c31\u662f\u4e00\u4e2a\u975e\u5e38\u597d\u7684\u5165\u95e8\u5de5\u5177\uff0c\u5b83\u53ef\u4ee5\u8ba9\u4f60\u901a\u8fc7\u7b80\u5355\u7684\u8bbe\u7f6e\u548c\u4ee3\u7801\u7f16\u5199\u5c31\u80fd\u642d\u5efa\u51fa\u4e00\u4e2a\u8d85\u9177\u70ab\u7684\u591a\u4e3b\u4f53\u4eff\u771f<\/span>\uff08\u6a21\u62df\uff09<\/span>\u7a0b\u5e8f\u3002<\/span><\/p>\n


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Packard[5]\u6a21\u578b\u7684\u5143\u80de\u72b6\u6001\u4e3a 0 \u6216 1\uff0c\u5206\u522b\u4ee3\u8868\u6c14\u76f8\u548c\u56fa\u76f8\uff0c\u7f51\u683c\u4e3a\u4e09\u89d2\u5f62\u7f51\u683c\uff0c\u6bcf\u4e2a\u5143\u80de\u6700\u8fd1\u90bb\u90fd\u4e3a\u516d\u4e2a\uff0c\u8868\u73b0\u4e86\u51b0\u6676\u80de\u7ed3\u6784\u7684\u516d\u89d2\u7279\u6027\u3002Packard \u63d0\u51fa\u4e00\u79cd\u5e38\u7528\u89c4\u5219\u4e3a\u53ea\u6709\u4e00\u4e2a\u90bb\u5c45\u5143\u80de\u4e3a\u51b0\u76f8\u65f6<\/span>\uff08\u8bb0\u4e3a n\uff1d1\uff09<\/span>\u624d\u80fd\u751f\u957f\uff0c\u800c n\u22652 \u7684\u60c5\u5f62\u4e0d\u80fd\u751f\u957f\uff1b\u53e6\u4e00\u4e2a\u5e38\u7528\u89c4\u5219\u662f\u7528\u90bb\u5c45\u4e2d\u6709\u5947\u6570\u4e2a\u4e3a\u51b0\u76f8\u5219\u751f\u957f\u5076\u6570\u4e2a\u4e3a\u51b0\u76f8\u5219\u4e0d\u751f\u957f\u7684\u89c4\u5219<\/span>\uff08\u5373\uff1an\uff1d1\u30013\u30015\uff09<\/span>\uff0c\u4e5f\u79f0\u4e3a\u5947\u5076\u89c4\u5219\u3002\u867d\u7136Packard\u6a21\u578b\u89c4\u5219\u6781\u5176\u7b80\u5355\uff0c\u5374\u80fd\u6a21\u62df\u51fa\u57fa\u672c\u7684\u677f\u72b6\u3001\u67f1\u72b6\u548c\u7b80\u5355\u516d\u89d2\u5206\u679d\u72b6\u7684\u96ea\u82b1\u3002\u4f46\u7531\u4e8e\u6a21\u578b\u8fc7\u4e8e\u7b80\u5355\uff0c\u5176\u7269\u7406\u610f\u4e49\u592a\u8fc7\u7c97\u7565\u3002Gravner & Griffeath<\/span>\uff082006\uff09<\/span>[6]\u5bf9Packard\u6a21\u578b\u8fdb\u884c\u4e86\u6570\u5b66\u5206\u6790\u3002<\/span><\/p>\n


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Libbrecht<\/span>\uff082005\uff09<\/span>[7]\u7740\u91cd\u5f3a\u8c03\uff0c\u51b0\u7684\u8868\u9762\u5c42\u662f\u201c\u51c6\u6db2\u4f53\u201d\u5c42<\/span>\uff08quasi-liquid layer\uff09<\/span>\uff0c\u8fd9\u662f\u89e3\u5f00\u96ea\u6676\u751f\u957f\u4e4b\u8c1c\u7684\u4e3b\u8981\u56e0\u7d20\u3002Gravner & Griffeath<\/span>\uff082008\uff09<\/span>[8]\u63d0\u51fa\u7684\u4e8c\u7ef4\u6a21\u578b\u91c7\u7528\u4e86\u4e09\u79cd\u57fa\u672c\u7684\u7269\u7406\u91cf\uff1a\u96ea\u82b1\u6676\u4f53\u90e8\u5206\uff0c\u7528a(x\uff0ct)\u8868\u793a\u662f\u5426\u5c5e\u4e8e\u6676\u4f53\uff0cc(x\uff0ct) \u8868\u793a\u6676\u4f53\u7684\u8d28\u91cf\u5bc6\u5ea6\uff1b\u51c6\u6db2\u4f53<\/span>\uff08quasi-liquid\uff09<\/span>\uff0c\u7528\u5bc6\u5ea6\u91cfb(x\uff0ct)\u8868\u793a\uff1b\u6269\u6563\u6c34\u6c7d<\/span>\uff08vapor\uff09<\/span>\uff0c\u7528\u5bc6\u5ea6\u91cf d(x\uff0ct)\u8868\u793a\u3002\u5728\u6a21\u578b\u4e2d\u8fd9\u4e9b\u91cf\u7684\u6f14\u5316\u8fc7\u7a0b\u53ef\u5206\u4e3a 5 \u7c7b\uff1a\u6269\u6563\u3001\u51dd\u7ed3\u3001\u9644\u7740\u3001\u7194\u5316\u3001\u566a\u58f0\u3002\u4e8c\u7ef4\u6a21\u578b\u4e2d\u968f\u7740\u521d\u59cb\u5bc6\u5ea6\u03c1\u589e\u52a0\uff0c\u5728\u9002\u5f53\u8bbe\u7f6e\u5176\u5b83\u53c2\u6570\u7684\u524d\u63d0\u4e0b\uff0c\u96ea\u6676\u751f\u957f\u5f62\u6001\u8868\u73b0\u51fa\u7684\u4e0d\u540c\u7279\u5f81\u3002<\/span><\/p>\n


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\u56fe\u7247\u6765\u6e90\uff1a<\/span><\/p>\n

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\u56fe\u7247\u6765\u6e90\uff1ahttps:\/\/demianrepucci.com\/2009\/12\/31\/snowflake-algorithm\/<\/span><\/p>\n


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Gravner & Griffeath<\/span>\uff082008\uff09<\/span>[9]\u57fa\u4e8e\u6c34\u6c7d\u7684\u6269\u6563\u3001\u5404\u5411\u5f02\u6027\u9644\u7740\u548c\u51c6\u6db2\u5c42\uff0c\u5f15\u5165\u4e86\u4e00\u4e2a\u4e09\u7ef4\u7684\u3001\u4fbf\u4e8e\u8ba1\u7b97\u7684\u3001\u4ecb\u89c2\u7684\u96ea\u6676\u751f\u957f\u6a21\u578b\u3002\u7814\u7a76\u4e86\u82e5\u5e72\u80fd\u5bf9\u5927\u591a\u6570\u89c2\u5bdf\u5230\u7684\u96ea\u6676\u4f53\u5f62\u6001\u5fe0\u5b9e\u5730\u6a21\u62df\u590d\u73b0\u7684\u6848\u4f8b\u3002\u7279\u522b\u662f\uff0c\u5177\u6709\u523b\u9762\u548c\u5206\u652f\u7279\u5f81\u7684\u7269\u7406\u6807\u672c\u6700\u5f15\u4eba\u6ce8\u76ee\uff0c\u6a21\u578b\u89e3\u91ca\u4e86\u8fd9\u4e00\u73b0\u8c61\u3002\u6a21\u578b\u8fd8\u590d\u5236\u4e86\u8bb8\u591a\u5176\u4ed6\u89c2\u5bdf\u5230\u7684\u7279\u5f81\uff0c\u5305\u62ec\u810a\u3001\u808b\u3001\u5939\u5c42\u677f\u548c\u7a7a\u5fc3\u67f1\uff0c\u4ee5\u53ca\u52a8\u6001\u4e0d\u7a33\u5b9a\u6027\u3002\u89c2\u6d4b\u5230\u7684\u73b0\u8c61\u4e00\u81f4\u8868\u660e\uff0c\u6a21\u578b\u4e2d\u7684\u56e0\u7d20\u5728\u7269\u7406\u96ea\u6676\u4f53\u7684\u751f\u957f\u4e2d\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u4e0a\u56fe\u5217\u51fa\u4e86\u4e3b\u8981\u7684\u65b9\u7a0b\u3002<\/span><\/p>\n


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\u6a21\u578b\u7528C\u8bed\u8a00\u7f16\u5199\u57fa\u672c\u7684\u8ba1\u7b97\u5f15\u64ce\uff0c\u7528MATLAB\u8fdb\u884c\u7ed8\u56fe\u548c\u53ef\u89c6\u5316\uff0c\u7528\u5149\u7ebf\u8ddf\u8e2a\u8f6f\u4ef6POV-Ray\u8fdb\u884c\u6e32\u67d3\u3002\u4e0b\u56fe\u5de6\u8fb9\u662f\u7528Matlab\u751f\u6210\u7684\u56fe\u50cf\uff0c\u53f3\u8fb9\u662f\u5728\u5de6\u56fe\u57fa\u7840\u4e0a\u7528\u5149\u7ebf\u8ddf\u8e2a\u8f6f\u4ef6POV-Ray\u6e32\u67d3\u540e\u7684\u6548\u679c\u3002<\/span><\/p>\n


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\u56fe\u7247\u6765\u6e90\uff1a<\/span><\/p>\n

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Packard\u6a21\u578b\u7684\u5143\u80de\u72b6\u6001\u3001\u4e09\u89d2\u5f62\u7f51\u683c\u3001\u516d\u4e2a\u8fd1\u90bb\u8868\u73b0\u4e86\u51b0\u6676\u80de\u7ed3\u6784\u7684\u516d\u89d2\u7279\u6027\uff0c\u4e3a\u540e\u7eed\u6a21\u578b\u6240\u7ee7\u627f\u3002Packard\u6a21\u578b\u5960\u5b9a\u4e86\u5143\u80de\u81ea\u52a8\u673a\u96ea\u82b1\u751f\u957f\u6a21\u578b\u7684\u57fa\u7840\u6846\u67b6\u3002Wolfram \u5728\u300aA New Kind of Science\u300b\u4e00\u4e66\u4e2d\u548c\u5218\u5f0f\u8fbe\uff0c\u5f20\u81ea\u56fd<\/span>\uff081989\uff09<\/span>[10]\u8fd0\u7528Packard\u6a21\u578b\u8fdb\u884c\u6a21\u62df\u4eff\u771f\uff0c\u4e3a\u6211\u4eec\u7f16\u7a0b\u4eff\u771f\u63d0\u4f9b\u4e86\u53c2\u8003\u6a21\u5f0f\u3002<\/span><\/p>\n


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\u4ee5\u5947\u5076\u89c4\u5219\u4e3a\u4f8b\uff0c\u8981\u5b9e\u73b0\u90bb\u5c45\u4e2d\u6709\u5947\u6570\u4e2a\u4e3a\u51b0\u76f8\u5219\u751f\u957f\uff0c\u5076\u6570\u4e2a\u4e3a\u51b0\u76f8\u5219\u4e0d\u751f\u957f\u7684\u89c4\u5219\uff0c\u9700\u533a\u522b(t-1)\u65f6\u523b\u548ct\u65f6\u523b\u72b6\u6001\u3002\u4e3a\u6b64\uff0c\u5728\u7b2c\u4e09\u8c61\u9650\u8bbe\u7f6e\u7b2c\u4e00\u8c61\u9650\u53cd\u5bf9\u79f0\u955c\u50cf\uff0c\u6309\u90bb\u57df\u5173\u7cfb\u5728\u7b2c\u4e00\u8c61\u9650\u8bfb\u53d6(t-1)\u65f6\u523b\u5468\u8fb9\u516d\u4e2a\u8282\u70b9\u5d4c\u5757\u7684\u989c\u8272\u72b6\u6001\uff0c\u5e76\u8ba1\u7b97\u5d4c\u5757\u989c\u8272\u4e3a\u767d\u8272\u7684\u6570\u91cf\u4f5c\u4e3a\u5224\u636e\u3002\u6839\u636e\u5224\u636e\u5728\u7b2c\u4e09\u8c61\u9650\u53cd\u5bf9\u79f0\u955c\u50cf\u6539\u53d8t\u65f6\u523b\u7531\u6d77\u9f9f\u5750\u6807\u786e\u5b9a\u7684\u5f53\u524d\u5d4c\u5757\u7684\u72b6\u6001\u3002\u7136\u540e\u7528\u7b2c\u4e09\u8c61\u9650\u53cd\u5bf9\u79f0\u955c\u50cf\u66f4\u65b0\u7b2c\u4e00\u8c61\u9650\u72b6\u6001\uff0c\u4e3a\u4e0b\u4e00\u65f6\u523b\u89c4\u5219\u6267\u884c\u505a\u51c6\u5907\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u6b64\u5916\uff0c\u8981\u6ce8\u610f\u865a\u62df\u7a7a\u95f4\u8bbe\u7f6e\u4e0e\u754c\u9762\u8f93\u5165\u5fc5\u987b\u5339\u914d\u3002<\/span><\/p>\n


<\/span><\/p>\n

<\/p>\n

\u754c\u9762<\/span><\/p>\n


<\/span><\/p>\n

<\/p>\n

\u8bbe\u7f6e<\/span><\/p>\n


<\/p>\n

\u89e3\u51b3\u4e86\u4ee5\u4e0a\u4e09\u4e2a\u5173\u952e\u95ee\u9898\u540e\uff0c\u5c31\u53ef\u4ee5\u8fd0\u7528Netlogo\u56db\u65b9\u683c\u76f8\u5173\u6307\u4ee4\u8fdb\u884c\u7f16\u7a0b\u3002\u7a0b\u5e8f\u4ee3\u7801\u4e3a\uff1a<\/span><\/p>\n

globals [ i j ]<\/span><\/p>\n

to setup\uff1b\uff1b\u521d\u59cb\u5316<\/span><\/p>\n

clear-all<\/span><\/p>\n

create-turtles 1 [ setxy pxcor pycor ]<\/span><\/p>\n

ask patches<\/span><\/p>\n

[<\/span><\/p>\n

ifelse  ( pxcor = 32 and pycor = 32 ) [set pcolor white ] [set pcolor black ]<\/span><\/p>\n

]<\/span><\/p>\n

\uff1b\uff1b\u4ece\u7b2c\u4e00\u8c61\u9650copy \u5230\u7b2c\u4e09\u8c61\u9650<\/span><\/p>\n

ask turtles<\/span><\/p>\n

[<\/span><\/p>\n

let i1 0<\/span><\/p>\n

while [ i1 <= (  X \/ 2 ) ]<\/span><\/p>\n

[<\/span><\/p>\n

let j1 0<\/span><\/p>\n

while [ j1 <= (  Y \/ 2 ) ]<\/span><\/p>\n

[<\/span><\/p>\n

setxy i1 j1<\/span><\/p>\n

if ( [pcolor] of patch-here  = white )<\/span><\/p>\n

[<\/span><\/p>\n

ask patch-at ( – 2 * i1 ) ( – 2 * j1 )<\/span><\/p>\n

[<\/span><\/p>\n

set pcolor white<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

set j1 ( j1 + 1 )<\/span><\/p>\n

]<\/span><\/p>\n

set i1 (i1 + 1 )<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

end<\/span><\/p>\n


<\/p>\n

to go<\/span><\/p>\n

let n 1\uff1b\uff1b\u6b65\u6570<\/span><\/p>\n

while [ n <= step ]<\/span><\/p>\n

[<\/span><\/p>\n

\uff1b\uff1b\u6309\u8ba1\u7b97\u5750\u6807i\uff0cj<\/span><\/p>\n

let j0 0<\/span><\/p>\n

while [ j0 <= Y \/ 4 ]<\/span><\/p>\n

[<\/span><\/p>\n

set j ( 2 * j0 )<\/span><\/p>\n

let i0 1<\/span><\/p>\n

while [ i0 <= X \/ 4 ]<\/span><\/p>\n

[<\/span><\/p>\n

ifelse ( remainder j0 2 = 0 )  [ set i ( 2 * i0 ) ]\uff1b\uff1b\u5076<\/span><\/p>\n


<\/p>\n

[ set i ( 2 * i0 – 1 ) ] \uff1b\uff1b\u5947<\/span><\/p>\n


<\/p>\n

ask turtles[ setxy i j ]<\/span><\/p>\n


<\/p>\n

\uff1b\uff1b\u6309\u90bb\u57df\u5173\u7cfb\u8ba1\u7b97(t-1)\u65f6\u523b\u7b2c\u4e00\u8c61\u9650\u5468\u8fb9\u516d\u4e2a\u8282\u70b9\u5d4c\u5757\u767d\u8272\u7684\u6570\u91cf<\/span><\/p>\n

ask turtles with [ pcolor = black ]<\/span><\/p>\n

[<\/span><\/p>\n

let pcolor_w  [pcolor] of patch-at ( – 2 ) 0<\/span><\/p>\n

let pcolor_e  [pcolor] of patch-at 2 0<\/span><\/p>\n

let pcolor_wn [pcolor] of patch-at ( – 1 ) 2<\/span><\/p>\n

let pcolor_en [pcolor] of patch-at 1 2<\/span><\/p>\n

let pcolor_ws [pcolor] of patch-at ( – 1 ) ( – 2 )<\/span><\/p>\n

let pcolor_es [pcolor] of patch-at  1  ( – 2 )<\/span><\/p>\n

let sigma 0<\/span><\/p>\n

if ( pcolor_w = white ) [ set sigma (sigma + 1) ]<\/span><\/p>\n

if ( pcolor_e = white ) [ set sigma (sigma + 1) ]<\/span><\/p>\n

if ( pcolor_wn = white )[ set sigma (sigma + 1) ]<\/span><\/p>\n

if ( pcolor_en = white )[ set sigma (sigma + 1) ]<\/span><\/p>\n

if ( pcolor_ws = white )[ set sigma (sigma + 1) ]<\/span><\/p>\n

if ( pcolor_es = white )[ set sigma (sigma + 1) ]<\/span><\/p>\n

\uff1b\uff1b\u5728\u7b2c\u4e09\u8c61\u9650\u8ba1\u7b97t\u65f6\u523baij-t<\/span><\/p>\n

if (pxcor <= X \/ 2 – 2 and pycor <= Y \/ 2 – 2)<\/span><\/p>\n

[ ifelse (sigma = 0) [ ask patch-at (- 2 * i) (- 2 * j ) [ set pcolor black ] ]<\/span><\/p>\n

[ ifelse (sigma = 1) [ ask patch-at (- 2 * i  ) (- 2 * j ) [ set pcolor white ] ]<\/span><\/p>\n

[ifelse (sigma = 2) [ ask patch-at (- 2 * i ) (- 2 * j ) [ set pcolor black ] ]<\/span><\/p>\n

[ifelse (sigma = 3) [ ask patch-at (- 2 * i) (- 2 * j ) [ set pcolor white ] ]<\/span><\/p>\n

[ifelse (sigma = 4) [ ask patch-at (- 2 * i) (- 2 * j ) [ set pcolor black ] ]<\/span><\/p>\n

[ifelse (sigma = 5) [ ask patch-at (- 2 * i) (- 2 * j ) [ set pcolor white ] ]<\/span><\/p>\n

[ ifelse (sigma = 6) [ ask patch-at (- 2 * i) (- 2 * j ) [ set pcolor black ] ]<\/span><\/p>\n

[<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

show ( word “n” n  “i” i “j” j “sigma:” sigma )<\/span><\/p>\n

]<\/span><\/p>\n

set i0 ( i0 + 1 )<\/span><\/p>\n

]<\/span><\/p>\n

set j0 ( j0 + 1 )<\/span><\/p>\n

]<\/span><\/p>\n

\uff1b\uff1b\u5b8c\u6210\u4e00\u6b65\u540e\u4ece\u7b2c\u4e09\u8c61\u9650copy\u5230\u7b2c\u4e00\u8c61\u9650<\/span><\/p>\n

ask turtles<\/span><\/p>\n

[ let i1 0<\/span><\/p>\n

while [ i1 >= ( – X \/ 2 ) ]<\/span><\/p>\n

[<\/span><\/p>\n

let j1 0<\/span><\/p>\n

while [ j1 >= ( – Y \/ 2 ) ]<\/span><\/p>\n

[<\/span><\/p>\n

setxy i1 j1<\/span><\/p>\n

if ( [pcolor] of patch-here  = white )<\/span><\/p>\n

[<\/span><\/p>\n

ask patch-at ( – 2 * i1 ) ( – 2 * j1 )<\/span><\/p>\n

[<\/span><\/p>\n

set pcolor white<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n

set j1 ( j1 – 1 )<\/span><\/p>\n

]<\/span><\/p>\n

set i1 ( i1 – 1 )<\/span><\/p>\n

]<\/span><\/p>\n

]<\/span><\/p>\n


<\/p>\n

set n (n + 1 )<\/span><\/p>\n

]<\/span><\/p>\n

End<\/span><\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

4. \u4eff\u771f\u7684\u7ed3\u679c<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u4e0b\u56fe\u4e3a\u521d\u59cb\u5316\u4e4b\u540e\u8fd0\u884c\u76841\uff5e6\u6b65\u7684\u96ea\u82b1\u6591\u56fe\u3002<\/span><\/p>\n


<\/span><\/p>\n

<\/section>\n
<\/section>\n

<\/section>\n


<\/span><\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

5. \u52aa\u529b\u7684\u65b9\u5411<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u4e00\u662f\u6269\u5c55\u73b0\u6709\u7f16\u7a0b\u3002\u7531\u4e8e\u672c\u7a0b\u5e8f\u4f7f\u7528\u7684\u57fa\u672c\u90bb\u57df\u5355\u5143\u4e0d\u662f\u6b63\u516d\u8fb9\u5f62\uff0c\u4ee5\u53ca\u7528\u6b63\u65b9\u5f62\u5d4c\u5757\u4f5c\u4e3a\u57fa\u672c\u56fe\u7d20\uff0c\u6545\u6240\u5f97\u56fe\u5f62\u4e0d\u80fd\u4fdd\u8bc1\u5404\u5411\u540c\u6027\u3002\u53ef\u5229\u7528\u5d4c\u5757\u4fe1\u606f\u5bf9\u76f8\u5bf9\u96ea\u82b1\u6591\u56fe\u4e2d\u5fc3\u7684\u7eb5\u5411\u5750\u6807\u503c\u4e58\u4ee5\uff08<\/sub>\uff09\u8fdb\u884c\u538b\u7f29\uff0c\u5b9e\u73b0\u5404\u5411\u540c\u6027\u3002\u4e8c\u662f\u52a0\u5f3a\u8f6f\u4ef6\u8054\u52a8\u3002\u73b0\u5728\u5df2\u51fa\u73b0\u5e94\u7528COMSOL\u4eff\u771f\u5e73\u53f0\u6c42\u89e3\u504f\u5fae\u5206\u65b9\u7a0b<\/span>\uff08PDE\uff09<\/span>\u6a21\u62df\u96ea\u82b1\u751f\u957f\u7684\u6a21\u578b[11][12] \uff0c\u5e94\u53ca\u65f6\u53d1\u6325Netlogo\u4e0eMathematica\u7b49\u5e73\u53f0\u94fe\u63a5\u65b9\u4fbf\u7684\u4f18\u52bf\uff0c\u5f00\u5c55\u8054\u5408\u7f16\u7a0b\uff0c\u62d3\u5c55\u6c42\u89e3\u504f\u5fae\u5206\u65b9\u7a0b<\/span>\uff08PDE\uff09<\/span>\u7b49\u529f\u80fd\u3002\u4e09\u662f\u8ddf\u8e2a\u524d\u6cbf\u63a2\u7d22\u3002Gravner J\uff0c Griffeath D[8][9]\u5df2\u7ecf\u5f00\u53d1\u4e86\u66f4\u7cbe\u51c6\u7684\u96ea\u82b1\u6a21\u62df\u6a21\u578b\uff0c\u901a\u8fc7\u8fd0\u7528Netlogo \u7684pathes own[\u2026]\u6307\u4ee4\u589e\u52a0\u5c5e\u6027\u53d8\u91cf\u53ef\u65b9\u4fbf\u5730\u5728\u672c\u6587\u63d0\u4f9b\u7684\u6a21\u578b\u57fa\u7840\u4e0a\u8fdb\u884c\u62d3\u5c55\u3002Libbrecht[13]\u76f8\u4fe1\uff0c\u501f\u52a9\u8d8a\u6765\u8d8a\u590d\u6742\u4e14\u5065\u5168\u7684\u8ba1\u7b97\u673a\u6a21\u62df\uff0c\u603b\u6709\u4e00\u5929\u80fd\u4ece\u5206\u5b50\u5230\u539f\u5b50\u751a\u81f3\u662f\u5230\u6700\u4e3a\u5e95\u5c42\u7684\u91cf\u5b50\u529b\u5b66\u4e2d\u6784\u5efa\u51fa\u4e00\u5957\u5b8c\u5584\u63cf\u8ff0\u4f53\u7cfb\u3002\u6211\u4eec\u5e94\u53ca\u65f6\u8ddf\u8fdb\u96ea\u82b1\u5efa\u6a21\u7684\u524d\u6cbf\uff0c\u63a2\u7d22\u5728Netlogo\u53ca\u5176\u5173\u8054\u5e73\u53f0\u4e0a\u7684\u5b9e\u73b0\u65b9\u5f0f\u3002<\/span><\/p>\n


<\/p>\n


<\/p>\n

\u53c2\u8003\u6587\u732e\u7f51\u5740<\/span><\/strong><\/span><\/p>\n

[1] https:\/\/www.163.com\/dy\/article\/GULGK13205346RC6.html<\/span><\/p>\n

[2] https:\/\/www.163.com\/dy\/article\/GVDOKP9U0534A4RJ.html<\/span><\/p>\n

[3] https:\/\/www.163.com\/dy\/article\/GSVA3HN30511C4OP.html<\/span><\/p>\n

[4] https:\/\/swarma.org\/?p=10759<\/span><\/p>\n

[5] http:\/\/www.scipress.org\/e-library\/sof\/pdf\/0095.PDF<\/span><\/p>\n

[6] https:\/\/citeseerx.ist.psu.edu\/viewdoc\/download?doi=10.1.1.1077.1044&rep=rep1&type=pdf<\/span><\/p>\n

[7] https:\/\/www.researchgate.net\/publication\/30759481_The_physics_of_snow_crystals<\/span><\/p>\n

[8] http:\/\/citeseerx.ist.psu.edu\/viewdoc\/download?doi=10.1.1.121.6149&rep=rep1&type=pdf<\/span><\/p>\n

[9] http:\/\/citeseerx.ist.psu.edu\/viewdoc\/download?doi=10.1.1.136.1150&rep=rep1&type=pdf<\/span><\/p>\n

[10] http:\/\/cqvip.53yu.com\/qk\/91836x\/198902\/12329.html<\/span><\/p>\n

[11] https:\/\/zhuanlan.zhihu.com\/p\/447506757<\/span><\/p>\n

[12] https:\/\/www.zhihu.com\/zvideo\/1390417883852419072<\/span><\/p>\n

[13] https:\/\/www.sohu.com\/a\/363908212_354973<\/span><\/p>\n


<\/p>\n


<\/section>\n
\n
\n
\n
\n
\n

\u4e66\u7c4d\u548c\u8bfe\u7a0b\u63a8\u8350<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

\n


<\/p>\n<\/section>\n

<\/p>\n


<\/section>\n
\u672c\u4e66\u914d\u5957\u89c6\u9891\u8bfe\u7a0b\u300aNetLogo\u591a\u4e3b\u4f53\u5efa\u6a21\u5165\u95e8<\/a>\u300b\u53ef\u5728\u96c6\u667a\u5b66\u56ed\u8d2d\u4e70\u5b66\u4e60\uff0c4.7\u661f\u8d85\u9ad8\u8bc4\u4ef7\u3002<\/span><\/section>\n


<\/p>\n

\u96c6\u667a\u300aNetLogo\u591a\u4e3b\u4f53\u5efa\u6a21\u5165\u95e8\u300b\u914d\u5957\u8bfe\u7a0b\u3001\u5b66\u4e60\u793e\u7fa4\u8be6\u89c1\uff1a<\/span><\/p>\n

\u5165\u95e8\u590d\u6742\u6027\u79d1\u5b66\uff0c\u4eceNetlogo\u8bfe\u7a0b\u5f00\u59cb | NetLogo\u591a\u4e3b\u4f53\u5efa\u6a21\u793e\u7fa4\u6b63\u5f0f\u542f\u52a8<\/a><\/p>\n


<\/p>\n<\/section>\n


<\/p>\n

\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n