{"id":3343,"date":"2014-06-28T23:56:25","date_gmt":"2014-06-28T23:56:25","guid":{"rendered":"http:\/\/www.worldofmastermind.com\/?p=3343"},"modified":"2018-04-13T16:57:45","modified_gmt":"2018-04-13T16:57:45","slug":"%e7%95%a5%e8%ab%96%e9%ad%94%e5%b9%bb%e6%96%b9%e9%99%a3-magic-square-%e8%a3%bd%e4%bd%9c%e5%8f%8a%e8%a7%a3%e8%aa%aa","status":"publish","type":"post","link":"https:\/\/www.worldofmastermind.com\/?p=3343","title":{"rendered":"\u7565\u8ad6\u9b54\u5e7b\u65b9\u9663 (Magic Square) \u53ca\u4e5d\u5bae\u516b\u5366\u5716\u7684\u88fd\u4f5c\u53ca\u89e3\u8aaa"},"content":{"rendered":"

0.\u5c0e\u8ad6<\/strong><\/span>
\u524d\u4e00\u9663\u5b50\uff0c\u4fe1\u5805\u53caAllen \u9677\u5165”\u559d\u6c7d\u6c34\u7b97\u8853\u554f\u984c”\u7684\u9b54\u5883\uff0c\u7aae\u7814\u5176\u5713\u6eff\u89e3\u7b54\u53ca\u555f\u793a\u3002\u525b\u544a\u4e00\u6bb5\u843d\uff0c\u73fe\u5728\u53c8\u56e0\u53cb\u4eba\u9001\u4f86Albrecht D\u00fcrer (1471-1528) \u65bc1514 \u5e74\u5728\u4ed6\u7684\u4e00\u526f\u756b\u4e0a\u6240\u7e6a4×4\u9b54\u5e7b\u65b9\u9663\u5716\u6240\u8457\u8ff7\u3002\u4f9d\u6b64\u6578\u5b57\uff0c1\u81f316\uff0c\u5728\u56db\u65b9\u683c\u5b50\u88e1\u7684\u5de7\u5999\u6392\u5217\uff0c\u7121\u8ad6\u5f9e\u4efb\u4f55\u89d2\u5ea6\u770b\uff0c\u56db\u500b\u6578\u5b57\u7684\u7e3d\u5408\u90fd\u662f34\u3002\u5947\u5de7\u7121\u6bd4\uff0c\u771f\u4f69\u670d\u4ed6\u7684\u8070\u660e\u624d\u667a\u3002\u521d\u770b\u4ee5\u70ba\u554f\u984c\u6df1\u5967\uff0c\u53ea\u6b64\u4e00\u5bb6\uff0c\u5225\u7121\u5206\u5e97\u3002\u540c\u6642\uff0c\u4e5f\u5728\u601d\u7dad\uff0c\u6b64\u4e2d\u6240\u542b\u9020\u7269\u7384\u6a5f\uff0c\u795e\u7684\u8aed\u65e8(Oracle)\u3002<\/strong>
\"cube2\"<\/a> \"cube3\"<\/a>
\u518d\u7d93\u6df1\u5165\u7814\u8a0e\uff0c\u767c\u73fe\u5efa\u9020\u6b64\u56db\u65b9\u9b54\u5e7b\u9663\u7684\u65b9\u6cd5\uff0c\u76f8\u7576\u7c21\u55ae\u3002\u6240\u8b02\uff0c\u6c5f\u6e56\u4e00\u9ede\u8a23\uff0c\u8aaa\u7834\u4e0d\u503c\u9322<\/span>\u3002\u540c\u6642\uff0c\u6392\u5217\u65b9\u6cd5\uff0c\u6709\u5e7e\u5343\u7a2e\u4e0d\u540c\u3002\u65e9\u5728\u7b2c\u5341\u81f3\u7b2c\u5341\u4e8c\u4e16\u7d00\uff0c\u6ce2\u65af\u53ca\u5370\u5ea6\u5c31\u6709\u6d41\u50b3\u3002\u540c\u6642\u767c\u73fe\uff0c3×3\u9b54\u5e7b\u65b9\u9663\u5716\u65e9\u5728\u6d1b\u66f8(650 BC) \u5c31\u6709\u8a18\u8f09\u3002\u7531\u6b64\u800c\u767c\u5c55\u6210\u516b\u5366\u3001\u6613\u7d93\u3001\u5360\u5366\u3002<\/strong><\/p>\n

\u66f4\u6df1\u5165\u63a2\u8a0e\uff0c\u767c\u73fe\u53e4\u8056\u5148\u8ce2\u65e9\u5df2\u60f3\u51fa\u89e3\u7b54 n x n \u9b54\u5e7b\u65b9\u9663\u7684\u65b9\u6cd5\u3002\u800c\u4e14\uff0c\u4e5f\u4ee5\u4e0b\u9762\u516c\u5f0f\uff0c\u8a08\u7b97 n x n \u9b54\u5e7b\u5e38\u6578\uff0cM:<\/strong><\/p>\n

\"formula1\"<\/a>For normal magic squares of order n = 3, 4, 5, 6, 7, 8 and 9, the magic constants are, respectively: 15, 34, 65, 111, 175, 260 and 369.<\/strong><\/p>\n

\u4e00. \u9b54\u5e7b\u65b9\u9663\u4e4b\u7956: \u6d1b\u66f8<\/strong><\/span>
\u9b54\u8853\u65b9\u9663\u7c21\u55ae\u7684\u8aaa\uff0c\u5c31\u662f\u4e00\u500b\u75311\u5230n*n \u7684\u6578\u5b57\u6240\u7d44\u6210\u7684n x n\u9663\u5217\uff0c\u5177\u6709\u5404\u5c0d\u89d2\u7dda\uff0c\u5404\u6a6b\u884c\u8207\u7e31\u5217\u7684\u6578\u5b57\u548c\u90fd\u76f8\u7b49\u7684\u6027\u8cea\u3002\u6700\u7c21\u55ae\u7684\u9b54\u8853\u65b9\u9663\u662f3×3\u30023×3\u9b54\u5e7b\u65b9\u9663\u5716\u65e9\u5728\u6d1b\u66f8 (650 BC) \u5c31\u6709\u8a18\u8f09\u3002\u64da\u8aaa\u5927\u79b9\u6cbb\u6c34\u6642\uff0c\u5728\u6d1b\u6c34\u767c\u73fe\u4e00\u96bb\u5927\u70cf\u9f9c\uff0c\u80cc\u4e0a\u523b\u6709\u5716\u6848\uff0c\u82e5\u7528\u6578\u5b57\u8868\u793a \u5c31\u662f3×3\u9b54\u65b9\u9663\uff0c\u5b83\u7684\u7279\u9ede\u662f\u6bcf\u884c\u3001\u6bcf\u5217\u8207\u5169\u5c0d\u89d2\u7dda\u4e0a\u4e4b\u4e09\u6578\u76f8\u52a0\u7686\u662f15\u3002\u53e4\u66f8\u8a18\u8f09\uff0c\u6cb3\u5716\u662f\u7531\u53e4\u4eba\u89c0\u661f\u8c61\uff0c\u52a0\u4e0a\u5b87\u5b99\u3001\u4eba\u751f\u904b\u4f5c\u6cd5\u5247\uff0c\u800c\u52a0\u4ee5\u61c9\u7528\u3002<\/strong>
\"turtle1\"<\/a> \"R3\"<\/a> \"R4\"<\/a>
\u88fd\u4f5c\u65b9\u6cd5: \u5148\u5c07\u6578\u5b571\u81f39\u4f9d\u9806\u5e8f\u6392\u5217 (\u5716\u4e00)\uff0c<\/strong>\u5148\u4ee5\u56db\u89d2\u6578\u5b57\u5c0d\u63db<\/strong>\uff0c\u5982 (\u5716\u4e8c)\u3002\u518d\u4ee55\u70ba\u4e2d\u5fc3\uff0c\u9806\u6642\u91dd\u65cb\u8f4945\u5ea6 (\u4e00\u500b\u4f4d\u6b21)\u00a0 \u5c31\u884c\u4e86 (\u5716\u4e09)\u3002<\/strong><\/p>\n

1\u00a0<\/span>\u00a0\u00a0 2\u00a0\u00a0\u00a0 3<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 9 \u00a0<\/span> \u00a0 2 \u00a0\u00a0\u00a0 7<\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00a0\u00a0\u00a0\u00a0 9<\/span> \u00a0\u00a0\u00a0\u00a0 2<\/strong><\/span>
4\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00a0 \u00a0 5\u00a0\u00a0\u00a0\u00a0 6\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 3<\/span> \u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 7<\/span><\/span><\/span><\/strong><\/span>
7\u00a0<\/span>\u00a0\u00a0 8\u00a0\u00a0\u00a0 9<\/span>\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/span> \u00a0\u00a0\u00a0 8\u00a0 \u00a0 \u00a01 <\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8 \u00a0 \u00a0\u00a0 1<\/span> \u00a0\u00a0 \u00a0 6<\/strong><\/span>
(\u5716\u4e00)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (\u5716\u4e8c) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 (\u5716\u4e09) \u6d1b\u66f8<\/span><\/strong><\/p>\n

\u5f9e\u6b64\u57fa\u672c\u4e5d\u5bae\u65b9\u9663\uff0c\u6211\u5011\u53ef\u7528\u53cd\u5c04 (reflection\uff0c\u5716\u56db\u53ca\u5716\u4e94)\u3002\u4e5f\u53ef\u4ee55 \u70ba\u4e2d\u5fc3\uff0c\u9806\u6642\u91dd\u65cb\u8f49 90\u5ea6 (\u5716\u516d)\u3001180\u5ea6 (\u5716\u4e03)\u3001270\u5ea6 (\u5716\u516b)\uff0c<\/strong>\u800c\u5f97\u5230\u985e\u4f3c\u4e5d\u5bae\u65b9\u9663\u3002<\/strong><\/p>\n

8\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0 9 \u00a0 \u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8 \u00a0\u00a0\u00a0\u00a0 3 \u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6 \u00a0\u00a0\u00a0\u00a0 1 \u00a0 \u00a0\u00a0 8 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 \u00a0\u00a0\u00a0\u00a0 7 \u00a0\u00a0\u00a0\u00a0 6<\/strong>
3\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 7 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 7 \u00a0 \u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 1 \u00a0 \u00a0\u00a0 5 \u00a0 \u00a0 \u00a0 9 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 7 \u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 9 \u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/strong>
4\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6 \u00a0 \u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0 8 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 6 \u00a0 \u00a0\u00a0 7 \u00a0\u00a0\u00a0\u00a0\u00a0 2 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 2 \u00a0\u00a0\u00a0\u00a0 9 \u00a0\u00a0\u00a0\u00a0 4 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 4 \u00a0\u00a0\u00a0\u00a0 3 \u00a0\u00a0\u00a0\u00a0 8<\/strong>
(\u5716\u56db) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 (\u5716\u4e94) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 (\u5716\u516d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 (\u5716\u4e03)\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (\u5716\u516b)<\/strong><\/p>\n

\u4e8c. 4×4 \u9b54\u5e7b\u65b9\u9663\u88fd\u4f5c\u65b9\u6cd5
<\/strong><\/span><\/p>\n

\u6c5f\u6e56\u4e00\u9ede\u8a23\uff0c\u8aaa\u7834\u4e0d\u503c\u9322\u3002<\/span>4×4 \u9b54\u5e7b\u65b9\u9663<\/strong>\u7684<\/strong>\u88fd\u4f5c\u4e4b\u6cd5\uff0c\u76f8\u7576\u7c21\u55ae\u3002\u4e00\u7a2e\u88fd\u4f5c\u6cd5\u662f\u4f9d\u91d1\u5eb8\u5c04\u9d70\u82f1\u96c4\u50b3\uff0c\u9ec3\u85e5\u5e2b\u7684\u5973\u5152\uff0c\u9ec3\u84c9\uff0c\u7684\u6307\u793a\uff1a\u300c\u4ee5\u5341\u516d\u5b57\u4f9d\u6b21\u4f5c\u56db\u884c\u6392\u5217\uff0c\u5148\u4ee5\u56db\u89d2\u5c0d\u63db\uff0c\u4e00\u63db\u5341\u516d\uff0c\u56db\u63db\u5341\u4e09 (\u5716\u4e5d)\uff0c\u5f8c\u4ee5\u5167\u56db\u89d2\u5c0d\u63db\uff0c\u516d\u63db\u5341\u4e00\uff0c\u4e03\u63db\u5341 (\u5716\u5341)\u3002\u9019\u822c\u6a6b\u76f4\u4e0a\u4e0b\u659c\u89d2\u76f8\u52a0\uff0c\u7686\u662f\u4e09\u5341\u56db\u3002\u300d<\/strong><\/p>\n

1<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0 4<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 16<\/span> \u00a0 \u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 13<\/span><\/strong>
5 \u00a0 \u00a0\u00a0\u00a0 6 \u00a0 \u00a0\u00a0 7<\/span> \u00a0 \u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 11 \u00a0 \u00a0\u00a0 10<\/span> \u00a0 \u00a0 \u00a0 8<\/strong>
9 \u00a0 \u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a0 11<\/span>\u00a0\u00a0\u00a0 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 12<\/strong>
13<\/span>\u00a0\u00a0\u00a0 14\u00a0\u00a0\u00a0\u00a0 15 \u00a0\u00a0 16 \u00a0<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 4\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 14\u00a0\u00a0\u00a0\u00a0\u00a0 15 \u00a0 \u00a0\u00a0 1<\/span><\/strong>
\u5716\u4e5d \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 \u5716\u5341<\/strong><\/p>\n

\u53e6\u4e00\u7a2e\u88fd\u4f5c\u6cd5\uff0c\u662f\u5c07\u6578\u5b57\u75311\u81f316\uff0c\u9806\u5e8f\u6392\u5217 (\u5716\u5341\u4e00)\u3002\u518d\u5c07\u4e2d\u9593\u5169\u884c\u53ca\u5169\u5217\u7684\u5916\u65b9\u6578\u5b57 (\u6709\u8272\u6578\u5b57) \u5c0d\u8abf\uff0c\u5c31\u884c\u4e86 (\u5716\u5341\u4e8c)\u3002<\/strong><\/p>\n

1\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/span>\u00a0\u00a0 \u00a0\u00a0 3<\/span> \u00a0 \u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 1 \u00a0 \u00a0\u00a0\u00a0 15\u00a0\u00a0\u00a0\u00a0\u00a0 14<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 4<\/strong>
5<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0 \u00a0 7 \u00a0 \u00a0\u00a0 8\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 12<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 7 \u00a0 \u00a0 \u00a0 9<\/span><\/strong>
9<\/span>\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 11\u00a0\u00a0\u00a0 12<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 8<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10 \u00a0 \u00a0\u00a0 11\u00a0\u00a0\u00a0\u00a0 5<\/span><\/strong>
13\u00a0\u00a0 14\u00a0\u00a0\u00a0 15<\/span> \u00a0\u00a0 16\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 13 \u00a0 \u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/span> \u00a0 \u00a0\u00a0 16<\/strong>
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3\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 7 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0 7 \u00a0 \u00a0 5\u00a0\u00a0\u00a0\u00a0 3 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 9 \u00a0 \u00a0 5 \u00a0 \u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 9<\/strong>
4\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0\u00a0 2 \u3000\u00a0\u00a0 \u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 8 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 7 \u00a0 \u00a0 6 \u3000\u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0 4<\/strong>
(\u571621) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 (\u571622) \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0 (\u571623) \u3000\u3000\u3000\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0 (\u571624)<\/strong>
\u57fa\u672c\u4e5d\u5bae\u5716 \u3000\u00a0\u00a0 Rotate 180 \u3000\u3000\u00a0\u00a0\u00a0 Rotate 90\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rotate 270<\/strong><\/p>\n

\u9996\u5148\u6211\u5011\u6ce8\u610f\u5230\uff0c\u9019\u56db\u5716\u7684 “\u540c\u4e00\u5bae” \u7684\u6578\u5b57\u7e3d\u5408\u90fd\u662f20\u3002\u8b6c\u5982\uff0c\u897f\u5317\u5bae\uff0c8+2+4+6=20\uff1b <\/strong>\u6771\u5357\u5bae\uff0c2+8+6+4=20\uff1b \u6b63\u6771\u5bae: 7+3+1+9=20\u3002
<\/strong><\/p>\n

\u7531\u6b64\u56db\u5716\uff0c\u6211\u5011\u53ef\u9020\u51fa\u516b\u7d44\u4e5d\u5bae\u5716:<\/strong><\/p>\n

(\u571621)\uff0b\uff19\uff0a\uff10 \uff08\u7b2c\uff11\u7d44\uff09\uff1b \u00a0 (\u571621)\uff0b\uff19\uff0a\uff14 \uff08\u7b2c5\u7d44\uff09<\/strong>
(\u571622)\uff0b\uff19\uff0a\uff11 \uff08\u7b2c2\u7d44\uff09\uff1b \u00a0\u00a0 (\u571622)\uff0b\uff19\uff0a\uff15 \uff08\u7b2c6\u7d44\uff09<\/strong>
(\u571623)\uff0b\uff19\uff0a\uff12 \uff08\u7b2c3\u7d44\uff09\uff1b\u00a0\u00a0\u00a0 (\u571623)\uff0b\uff19\uff0a\uff16 \uff08\u7b2c7\u7d44\uff09<\/strong>
(\u571624)\uff0b\uff19\uff0a\uff13 \uff08\u7b2c4\u7d44\uff09\uff1b \u00a0\u00a0 (\u571624)\uff0b\uff19\uff0a\uff17 \uff08\u7b2c8\u7d44\uff09<\/strong><\/p>\n

8\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0 6 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 11\u00a0\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0\u00a0 13\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 22 \u00a0 \u00a0 21 \u00a0 \u00a0 26\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 33 \u00a0 \u00a0 34\u00a0\u00a0\u00a0\u00a0 29<\/strong>
3\u00a0\u00a0\u00a0\u00a0 5 \u00a0 \u00a0\u00a0 7 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 16\u00a0\u00a0\u00a0\u00a0 14\u00a0\u00a0\u00a0\u00a0 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 27\u00a0\u00a0\u00a0\u00a0 23\u00a0\u00a0\u00a0\u00a0 19 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 28 \u00a0\u00a0\u00a0 32\u00a0\u00a0\u00a0\u00a0 36<\/strong>
4\u00a0\u00a0 \u00a0 9\u00a0\u00a0 \u00a0\u00a0 2 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a0 17\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20\u00a0\u00a0\u00a0\u00a0 25\u00a0\u00a0\u00a0\u00a0 24 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a035 \u00a0\u00a0\u00a0 30 \u00a0 \u00a0 31<\/strong>
\uff08\u7b2c\uff11\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff08\u7b2c2\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff08\u7b2c3\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0\u00a0 \uff08\u7b2c4\u7d44\uff09<\/strong><\/p>\n

44\u00a0\u00a0\u00a0 37\u00a0\u00a0\u00a0 42\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 47\u00a0\u00a0\u00a0\u00a0 54\u00a0\u00a0\u00a0\u00a0 49 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 58 \u00a0 \u00a0 57 \u00a0 \u00a0 62\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a069\u00a0\u00a0\u00a0\u00a0 70 \u00a0 \u00a0 65<\/strong>
39\u00a0\u00a0\u00a0 41\u00a0\u00a0\u00a0 43\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 52\u00a0\u00a0\u00a0\u00a0 50\u00a0\u00a0\u00a0\u00a0 48 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 63\u00a0\u00a0\u00a0\u00a0 59\u00a0\u00a0\u00a0\u00a0 55\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 64\u00a0\u00a0\u00a0\u00a0 68\u00a0\u00a0\u00a0\u00a0 72<\/strong>
40\u00a0\u00a0\u00a0 45\u00a0\u00a0\u00a0 38\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 51\u00a0\u00a0\u00a0\u00a0 46\u00a0\u00a0\u00a0\u00a0 53 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 56\u00a0\u00a0\u00a0\u00a0 61\u00a0\u00a0\u00a0\u00a0 60 \u3000\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 71 \u00a0 \u00a0 66 \u00a0 \u00a0 67<\/strong>
\uff08\u7b2c5\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff08\u7b2c6\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff08\u7b2c7\u7d44\uff09\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff08\u7b2c8\u7d44\uff09<\/strong><\/p>\n

\u5c07\u4e0a\u9762\u516b\u7d44\u88e1\u7684\u6bcf\u4e00\u500b\u6578\u5b57\uff0c\u4f9d\u5176\u5bae\u4f4d\uff0c\u9806\u5e8f\u586b\u5165\u4e5d\u5bae\u516b\u5366\u5716
(\u7531\u5dfd\u5366\u4f4d\u8d77\uff0c\u4f9d\u9806\u6642\u91dd\u65b9\u5411)\u3002\u6211\u5011\u5c31\u53ef\u5f97\u5230\u4e0b\u9762\u7b54\u6848<\/strong><\/strong>
\"IMG_0362a\"<\/a><\/p>\n

\u5de6\u4e0a\u65b9\u5bae\u516b\u5366: 8, 11, 22, 33, 44, 47, 58, 69<\/strong>
\u6b63\u4e0a\u65b9\u5bae\u516b\u5366: 1, 18, 21, 34, 37, 54, 57, 70<\/strong>
\u53f3\u4e0a\u65b9\u5bae\u516b\u5366: 6, 13, 26, 29, 42, 49, 62, 66<\/strong><\/p>\n

\u6b63\u5de6\u65b9\u5bae\u516b\u5366: 3, 16, 27, 28, 39, 52, 63, 64<\/strong>
\u4e2d\u5bae\u516b\u5366: \u00a0 \u00a0 \u00a0 \u00a0 5, 14, 23, 32, 41, 50, 59, 68<\/strong>
\u6b63\u53f3\u65b9\u5bae\u516b\u5366: 7, 12,19, 36, 43, 48, 55, 72<\/strong><\/p>\n

\u53f3\u4e0b\u65b9\u5bae\u516b\u5366: 4, 15, 20, 35, 40, 51, 56, 71<\/strong>
\u6b63\u4e0b\u65b9\u5bae\u516b\u5366: 9, 10, 25, 30, 45, 46, 61, 66<\/strong>
\u53f3\u4e0b\u65b9\u5bae\u516b\u5366: 2, 17, 24, 31, 38, 53, 60, 67<\/strong><\/p>\n

\u4e5d\u5bae\u5716\u88e1\u9762\uff0c\u53c8\u591a\u5f62\u6210\u56db\u500b\u516b\u5366\u5716:<\/strong>
54, 37, 68, 59, 16, 3, 33, 22<\/strong>
49, 42, 72, 56, 14, 5, 34, 21<\/strong>
50, 41, 66, 61, 15, 4, 28, 27<\/strong>
48, 43, 67, 60, 10, 9, 32, 23<\/strong><\/p>\n

\u56e0\u6b64\uff0c\u7e3d\u5171\u6709\u5341\u4e09\u500b\u516b\u5366\u3002\u6bcf\u4e00\u516b\u5366\u7684\u6578\u5b57\u548c\u90fd\u662f 292\uff1a<\/strong>
20 x 2 + 9 x (0+1+2+3+4+5+6+7) = 20 x 2 + 9 x 28 = 292<\/strong><\/p>\n

\u56db. 5×5 \u81f39×9 \u7684\u9b54\u5e7b\u65b9\u9663\u4f8b\u5b50<\/strong><\/span><\/p>\n

5×5, M = 65<\/strong><\/span>
11\u00a0\u00a0\u00a0 24\u00a0\u00a0 \u00a0 7\u00a0\u00a0\u00a0\u00a0 20\u00a0\u00a0 \u00a0 3<\/strong>
4\u00a0\u00a0\u00a0\u00a0 12\u00a0\u00a0\u00a0\u00a0 25 \u00a0 \u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0 16<\/strong>
17\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 13\u00a0\u00a0 \u00a0 21\u00a0\u00a0 \u00a0 9<\/strong>
10\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0 14 \u00a0 \u00a0 22<\/strong>
23\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 19\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0 15<\/strong><\/p>\n

6×6, M = 111<\/span><\/strong>
6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 32\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 34 \u00a0 \u00a0\u00a0 35 \u00a0 \u00a0\u00a0 1<\/strong>
7\u00a0\u00a0\u00a0\u00a0 \u00a0 11\u00a0\u00a0\u00a0\u00a0\u00a0 27\u00a0\u00a0\u00a0\u00a0\u00a0 28\u00a0\u00a0\u00a0\u00a0\u00a0 8 \u00a0 \u00a0 \u00a0\u00a0 30<\/strong>
19\u00a0\u00a0 \u00a0 14\u00a0\u00a0\u00a0\u00a0 16\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15 \u00a0 \u00a0\u00a0 23\u00a0\u00a0\u00a0\u00a0\u00a0 24<\/strong>
18\u00a0\u00a0 \u00a0 20\u00a0\u00a0\u00a0\u00a0 22 \u00a0 \u00a0\u00a0\u00a0 21\u00a0\u00a0\u00a0\u00a0\u00a0 17\u00a0\u00a0\u00a0\u00a0\u00a0 13<\/strong>
25\u00a0\u00a0\u00a0\u00a0 29\u00a0\u00a0\u00a0\u00a0 10 \u00a0 \u00a0 \u00a0\u00a0 9 \u00a0 \u00a0 \u00a0 26 \u00a0 \u00a0 \u00a0 12<\/strong>
36\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 33\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 31<\/strong><\/p>\n

7×7\uff0cM=175<\/strong><\/span>
22\u00a0\u00a0\u00a0\u00a0\u00a0 47\u00a0\u00a0\u00a0\u00a0\u00a0 16\u00a0\u00a0\u00a0\u00a0\u00a0 41\u00a0\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a0\u00a0 35 \u00a0 \u00a0\u00a0 4<\/strong>
5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 23\u00a0\u00a0\u00a0\u00a0\u00a0 48\u00a0\u00a0\u00a0\u00a0\u00a0 17\u00a0\u00a0\u00a0\u00a0\u00a0 42\u00a0\u00a0\u00a0\u00a0\u00a0 11 \u00a0 \u00a0\u00a0 29<\/strong>
30\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 24\u00a0\u00a0\u00a0\u00a0\u00a0 49\u00a0\u00a0\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0\u00a0\u00a0 36\u00a0\u00a0\u00a0\u00a0\u00a0 12<\/strong>
13\u00a0\u00a0\u00a0\u00a0\u00a0 31\u00a0\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 25\u00a0\u00a0\u00a0\u00a0\u00a0 43\u00a0\u00a0\u00a0\u00a0\u00a0 19\u00a0\u00a0\u00a0\u00a0\u00a0 37<\/strong>
38\u00a0\u00a0\u00a0\u00a0\u00a0 14\u00a0\u00a0\u00a0\u00a0\u00a0 32 \u00a0 \u00a0\u00a0 1 \u00a0 \u00a0 \u00a0\u00a0 26 \u00a0 \u00a0\u00a0 44\u00a0\u00a0\u00a0\u00a0\u00a0 20<\/strong>
21\u00a0\u00a0\u00a0\u00a0\u00a0 39\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 33\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 27\u00a0\u00a0\u00a0\u00a0\u00a0 45<\/strong>
46\u00a0\u00a0\u00a0\u00a0\u00a0 15 \u00a0 \u00a0 40 \u00a0 \u00a0 \u00a0 9\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 34\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 28<\/strong><\/p>\n

8×8\uff0cM=260<\/strong><\/span>
8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 58\u00a0\u00a0\u00a0\u00a0\u00a0 59\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 62\u00a0\u00a0\u00a0\u00a0\u00a0 63 \u00a0 \u00a0\u00a0\u00a0 1<\/strong>
49\u00a0\u00a0\u00a0\u00a0 15 \u00a0 \u00a0\u00a0 14 \u00a0 \u00a0\u00a0 52\u00a0\u00a0\u00a0\u00a0\u00a0 53\u00a0\u00a0\u00a0\u00a0 11\u00a0\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 56<\/strong>
41\u00a0\u00a0\u00a0\u00a0 23 \u00a0 \u00a0\u00a0 22\u00a0\u00a0\u00a0\u00a0\u00a0 44\u00a0\u00a0\u00a0\u00a0\u00a0 45 \u00a0 \u00a0 19\u00a0\u00a0\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 48<\/strong>
32\u00a0\u00a0\u00a0\u00a0 34\u00a0\u00a0\u00a0\u00a0\u00a0 35 \u00a0 \u00a0\u00a0 29 \u00a0 \u00a0\u00a0 28\u00a0\u00a0\u00a0\u00a0 38\u00a0\u00a0\u00a0\u00a0\u00a0 39\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 25<\/strong>
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9×9\uff0cM=369<\/strong><\/span>
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0.\u5c0e\u8ad6 \u524d\u4e00\u9663\u5b50\uff0c\u4fe1\u5805\u53caAllen \u9677\u5165”\u559d\u6c7d\u6c34\u7b97\u8853\u554f\u984c”\u7684\u9b54\u5883\uff0c\u7aae\u7814\u5176\u5713\u6eff\u89e3\u7b54\u53ca\u555f\u793a\u3002\u525b\u544a\u4e00\u6bb5\u843d\uff0c\u73fe\u5728\u53c8\u56e0\u53cb\u4eba\u9001\u4f86Albrecht D\u00fcrer (1471-1528) \u65bc1514 \u5e74\u5728\u4ed6\u7684\u4e00\u526f\u756b\u4e0a\u6240\u7e6a4×4\u9b54\u5e7b\u65b9\u9663\u5716\u6240\u8457\u8ff7\u3002\u4f9d\u6b64\u6578\u5b57\uff0c1\u81f316\uff0c\u5728\u56db\u65b9\u683c\u5b50\u88e1\u7684\u5de7\u5999\u6392\u5217\uff0c\u7121\u8ad6\u5f9e\u4efb\u4f55\u89d2\u5ea6\u770b\uff0c\u56db\u500b\u6578\u5b57\u7684\u7e3d\u5408\u90fd\u662f34\u3002\u5947\u5de7\u7121\u6bd4\uff0c\u771f\u4f69\u670d\u4ed6\u7684\u8070\u660e\u624d\u667a\u3002\u521d\u770b\u4ee5\u70ba\u554f\u984c\u6df1\u5967\uff0c\u53ea\u6b64\u4e00\u5bb6\uff0c\u5225\u7121\u5206\u5e97\u3002\u540c\u6642\uff0c\u4e5f\u5728\u601d\u7dad\uff0c\u6b64\u4e2d\u6240\u542b\u9020\u7269\u7384\u6a5f\uff0c\u795e\u7684\u8aed\u65e8(Oracle)\u3002 \u518d\u7d93\u6df1\u5165\u7814\u8a0e\uff0c\u767c\u73fe\u5efa\u9020\u6b64\u56db\u65b9\u9b54\u5e7b\u9663\u7684\u65b9\u6cd5\uff0c\u76f8\u7576\u7c21\u55ae\u3002\u6240\u8b02\uff0c\u6c5f\u6e56\u4e00\u9ede\u8a23\uff0c\u8aaa\u7834\u4e0d\u503c\u9322\u3002\u540c\u6642\uff0c\u6392\u5217\u65b9\u6cd5\uff0c\u6709\u5e7e\u5343\u7a2e\u4e0d\u540c\u3002\u65e9\u5728\u7b2c\u5341\u81f3\u7b2c\u5341\u4e8c\u4e16\u7d00\uff0c\u6ce2\u65af\u53ca\u5370\u5ea6\u5c31\u6709\u6d41\u50b3\u3002\u540c\u6642\u767c\u73fe\uff0c3×3\u9b54\u5e7b\u65b9\u9663\u5716\u65e9\u5728\u6d1b\u66f8(650 BC) \u5c31\u6709\u8a18\u8f09\u3002\u7531\u6b64\u800c\u767c\u5c55\u6210\u516b\u5366\u3001\u6613\u7d93\u3001\u5360\u5366\u3002 \u66f4\u6df1\u5165\u63a2\u8a0e\uff0c\u767c\u73fe\u53e4\u8056\u5148\u8ce2\u65e9\u5df2\u60f3\u51fa\u89e3\u7b54 n x n \u9b54\u5e7b\u65b9\u9663\u7684\u65b9\u6cd5\u3002\u800c\u4e14\uff0c\u4e5f\u4ee5\u4e0b\u9762\u516c\u5f0f\uff0c\u8a08\u7b97 n x n \u9b54\u5e7b\u5e38\u6578\uff0cM: For normal magic squares of order n = 3, 4, 5, 6, 7, 8 and 9, the magic constants are, respectively: … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,1,49],"tags":[],"class_list":["post-3343","post","type-post","status-publish","format-standard","hentry","category-37","category-1","category-49"],"_links":{"self":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/3343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3343"}],"version-history":[{"count":75,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/3343\/revisions"}],"predecessor-version":[{"id":8744,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/3343\/revisions\/8744"}],"wp:attachment":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}