\u524d\u4e24\u5c42\u62fc\u597d\u3001\u9876\u9762\u7ffb\u6210\u5168\u9ec4\u4e4b\u540e\uff0c\u53ea\u5269\u6700\u540e\u4e00\u4ef6\u4e8b\uff1a\u628a\u9876\u5c42\u7684\u516b\u4e2a\u5757\u9001\u56de\u5404\u81ea\u7684\u5bb6\u3002\u8fd9\u4e00\u6b65\u53eb PLL\uff08Permute Last Layer\uff0c\u9876\u5c42\u5f52\u4f4d\uff09\u3002\u5b8c\u6574\u7248 PLL \u6709 21 \u79cd\u60c5\u51b5\u300121 \u6761\u516c\u5f0f\uff1b\u4e24\u6b65\u7248\u628a\u5b83\u62c6\u6210\u4e24\u6bb5\uff1a\u5148\u5f52\u4f4d\u56db\u4e2a\u89d2\uff0c\u518d\u5f52\u4f4d\u56db\u6761\u68f1\uff0c\u603b\u5171\u53ea\u7528\u516d\u6761\u516c\u5f0f\u3002\u66f4\u7701\u5fc3\u7684\u662f\uff0c\u516d\u6761\u91cc\u6709\u4e00\u6761\u4f60\u5df2\u7ecf\u4f1a\u4e86\u2014\u2014\u5165\u95e8\u5b8c\u7ed3\u7bc7\u7684\u6362\u68f1\u516c\u5f0f\uff0c\u5c31\u662f Ua \u672c\u4eba\u3002\u6309 CFOP \u7684\u987a\u5e8f\uff0cPLL \u662f\u7b2c\u56db\u6b65\uff0cOLL \u662f\u7b2c\u4e09\u6b65\uff1b\u5148\u8bb2 PLL\uff0c\u662f\u56e0\u4e3a\u4f60\u5df2\u7ecf\u4f1a\u5b83\u7684\u62c6\u5f00\u7248\uff08\u6362\u89d2\u3001\u6362\u68f1\u516c\u5f0f\uff09\uff0c\u4e0a\u624b\u6700\u5feb\u3002\u5b66\u5b8c\u8fd9\u4e00\u7bc7\uff0c\u914d\u4e0a\u5165\u95e8\u7bc7\u7684\u9876\u9762\u7ffb\u8272\uff0c\u6574\u5957 CFOP \u7684\u6d41\u7a0b\u5c31\u901a\u4e86\uff1b\u4e0b\u4e00\u7bc7\u518d\u628a\u9876\u9762\u7ffb\u8272\u4e5f\u6362\u6210\u4e24\u6b65 OLL\u3002<\/p>\n
PLL \u5f00\u59cb\u65f6\u9876\u9762\u5df2\u7ecf\u5168\u9ec4\uff0c\u53ea\u5269\u4f4d\u7f6e\u95ee\u9898\u3002\u4e24\u6b65\u7248\u7684\u5206\u5de5\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n
\u5148\u89d2\u540e\u68f1\u4e0d\u662f\u4e60\u60ef\uff0c\u662f\u8fd9\u4e24\u7ec4\u516c\u5f0f\u7684\u6027\u8d28\u51b3\u5b9a\u7684\uff1aA-perm \u548c E-perm \u53ea\u52a8\u89d2\u3001\u4e0d\u52a8\u68f1\uff1bU\u3001H\u3001Z \u53ea\u52a8\u68f1\u3001\u4e0d\u52a8\u89d2\u3002\u4e24\u6b65\u5404\u7ba1\u5404\u7684\uff0c\u4e92\u4e0d\u5e72\u6270\u2014\u2014\u7b2c\u4e00\u6b65\u505a\u5b8c\uff0c\u68f1\u8fd8\u662f\u539f\u6765\u90a3\u4e2a\u4e71\u6837\uff1b\u7b2c\u4e8c\u6b65\u505a\u5b8c\uff0c\u89d2\u7eb9\u4e1d\u4e0d\u52a8\u3002\u6240\u4ee5\u987a\u5e8f\u53cd\u4e86\u5176\u5b9e\u4e5f\u6210\u7acb\uff0c\u4f46\u6309\u5148\u89d2\u540e\u68f1\u8d70\uff0c\u601d\u8def\u6700\u5e72\u51c0\uff0c\u4e5f\u548c\u5165\u95e8\u7bc7\u7684\u987a\u5e8f\u4e00\u81f4\u3002<\/p>\n
\u8fd8\u6709\u4e00\u6761\u65e7\u76f8\u8bc6\u8981\u5148\u8bf4\u6e05\u695a\uff1a\u5165\u95e8\u5b8c\u7ed3\u7bc7\u7684\u6362\u89d2\u516c\u5f0f\uff08R U R’ U’ R’ F R2 U’ R’ U’ R U R’ F’\uff09\u672c\u8eab\u5c31\u662f\u4e00\u6761\u5b8c\u6574 PLL\uff08T-perm\uff09\uff0c\u5b83\u4ea4\u6362\u4e00\u5bf9\u89d2\u3002\u4f46\u5b83\u4ea4\u6362\u89d2\u7684\u540c\u65f6\u4e5f\u4ea4\u6362\u4e00\u5bf9\u68f1\u2014\u2014\u62ff\u5b83\u5f53\u89d2\u6b65\u9aa4\uff0c\u4f1a\u628a\u68f1\u7684\u8d26\u4e5f\u6405\u8fdb\u6765\u3002\u6240\u4ee5\u89d2\u6b65\u9aa4\u6539\u7528\u53ea\u52a8\u89d2\u7684 A-perm \u548c E-perm\uff0cT-perm \u9000\u5c45\u4e8c\u7ebf\uff0c\u7b49\u4ee5\u540e\u80cc\u5b8c\u6574 PLL \u65f6\u518d\u8bf7\u56de\u6765\u3002<\/p>\n
\u89d2\u8fd8\u6ca1\u5f52\u4f4d\u65f6\uff0c\u8ba4\u578b\u53ea\u770b\u4e00\u6837\u4e1c\u897f\u2014\u2014\u8f66\u706f<\/strong>\u3002<\/p>\n \u8f66\u706f<\/strong>\u5c31\u662f\u540c\u4e00\u4fa7\u9762\u9876\u5c42\u4e24\u4e2a\u89d2\u7684\u4fa7\u9762\u8d34\u7eb8\u989c\u8272\u76f8\u540c\u3002\u6bd4\u5982\u524d\u9762\u4e24\u4e2a\u89d2\uff0c\u4fa7\u9762\u8d34\u7eb8\u90fd\u662f\u7eff\u8272\u2014\u2014\u54ea\u6015\u524d\u9762\u4e2d\u5fc3\u662f\u7ea2\u8272\uff0c\u8fd9\u4e5f\u662f\u4e00\u5bf9\u8f66\u706f\u3002\u6ce8\u610f\uff1a\u8f66\u706f\u53ea\u8981\u6c42\u4e24\u4e2a\u89d2\u7684\u989c\u8272\u5f7c\u6b64\u76f8\u540c\uff0c\u4e0d\u8981\u6c42\u662f\u8be5\u9762\u7684\u989c\u8272\uff1b\u4e5f\u522b\u628a\u5b83\u548c\u300c\u4e24\u4e2a\u89d2\u90fd\u5f52\u4f4d\u300d\u641e\u6df7\uff0c\u8f66\u706f\u91cc\u7684\u89d2\u672a\u5fc5\u5404\u56de\u5404\u5bb6\u3002<\/p>\n \u8f6c U \u628a\u8f66\u706f\u79fb\u5230\u80cc\u9762<\/strong>\uff0c\u505a\uff1a<\/p>\n R’ F R’ B2 R F’ R’ B2 R2<\/strong><\/p>\n \u5206\u6bb5\u8bb0\uff1a\uff08R’ F R’ B2\uff09\uff08R F’ R’ B2\uff09R2\u2014\u2014\u524d\u56db\u624b\u548c\u540e\u56db\u624b\u662f\u955c\u50cf\uff1aR’ \u53d8 R\uff0cF \u53d8 F’\uff0cB2 \u4e0d\u52a8\uff0c\u6536\u5c3e\u4e00\u4e2a R2\u3002A-perm \u8f6e\u6362\u7684\u662f\u524d\u53f3\u3001\u53f3\u540e\u3001\u5de6\u540e\u4e09\u4e2a\u89d2\uff0c\u5de6\u524d\u90a3\u4e2a\u89d2\u4e0d\u52a8\uff1b\u8f66\u706f\u653e\u5728\u80cc\u9762\uff0c\u6b63\u662f\u8fd9\u6761\u516c\u5f0f\u7684\u6807\u51c6\u6446\u6cd5\u3002\u505a\u5b8c\u8f6c\u4e00\u4e0b U \u5bf9\u9f50\uff0c\u68c0\u67e5\u56db\u4e2a\u89d2\uff1a\u5982\u679c\u90fd\u5f52\u4f4d\u4e86\uff0c\u8fdb\u7b2c\u4e8c\u6b65\uff1b\u5982\u679c\u8fd8\u6709\u89d2\u6ca1\u5f52\u4f4d\uff0c\u516b\u6210\u662f\u8f66\u706f\u6ca1\u6446\u5230\u80cc\u9762\u2014\u2014\u91cd\u65b0\u627e\u8f66\u706f\u3001\u79fb\u5230\u80cc\u9762\uff0c\u518d\u505a\u4e00\u6b21\u3002<\/p>\n \u8f6c\u4e00\u5708 U \u90fd\u627e\u4e0d\u5230\u8f66\u706f\uff0c\u8bf4\u660e\u662f\u4e24\u5bf9\u89d2\u5bf9\u89d2\u4ea4\u6362\u2014\u2014\u8fd9\u662f\u552f\u4e00\u51d1\u4e0d\u51fa\u8f66\u706f\u7684\u60c5\u51b5\u3002\u505a\uff1a<\/p>\n x’ R U’ R’ D R U R’ D’ R U R’ D R U’ R’ D’ x<\/strong><\/p>\n \u5148\u8bf4 x’\uff1a\u628a\u6574\u4e2a\u9b54\u65b9\u671d\u81ea\u5df1\u6000\u91cc\u7ffb 90\u00b0\uff08\u50cf\u505a R \u7684\u65b9\u5411\u8f6c\u52a8\u6574\u4e2a\u9b54\u65b9\uff09\uff0c\u53ea\u662f\u6362\u4e2a\u63e1\u6cd5\uff0c\u4e0d\u52a8\u4efb\u4f55\u4e00\u5c42\uff1b\u7ed3\u5c3e\u7684 x \u518d\u7ffb\u56de\u6765\u3002\u516c\u5f0f\u672c\u4f53\u662f\u56db\u7ec4\u300cR U R’ D\u300d\uff0c\u6bcf\u7ec4\u53ea\u6709 U \u548c D \u7684\u6b63\u53cd\u4e0d\u540c\uff1a\uff08R U’ R’ D\uff09\uff08R U R’ D’\uff09\uff08R U R’ D\uff09\uff08R U’ R’ D’\uff09\u3002\u8bb0\u4f4f\u300cR U R’ D\u300d\u8fd9\u4e2a\u9aa8\u67b6\uff0c\u56db\u7ec4\u7167\u7740 U\u3001D \u7684\u6b63\u53cd\u505a\u5c31\u884c\u3002\u505a\u5b8c\u540c\u6837\u8f6c U \u5bf9\u9f50\u68c0\u67e5\u3002<\/p>\n \u81ea\u68c0<\/strong>\uff1a\u56db\u89d2\u5f52\u4f4d\u540e\uff0c\u6bcf\u4e2a\u4fa7\u9762\u9876\u90e8\u4e24\u4e2a\u89d2\u7684\u4fa7\u9762\u989c\u8272\u90fd\u4e0e\u672c\u9762\u4e2d\u5fc3\u76f8\u540c\uff1b\u9876\u9762\u4ecd\u5168\u9ec4\uff0c\u524d\u4e24\u5c42\u7eb9\u4e1d\u4e0d\u52a8\u3002\u89d2\u6b65\u9aa4\u5230\u6b64\u7ed3\u675f\u3002<\/p>\n \u505a\u68f1\u4e4b\u524d\u5148\u505a\u4e00\u4ef6\u5c0f\u4e8b\uff1a\u8f6c U \u628a\u56db\u4e2a\u89d2\u5bf9\u9f50<\/strong>\uff0c\u8ba9\u6bcf\u4e2a\u89d2\u7684\u4fa7\u9762\u989c\u8272\u90fd\u4e0e\u4e2d\u5fc3\u5bf9\u4e0a\u3002\u8fd9\u4e00\u6b65\u4e0d\u80fd\u7701\u2014\u2014\u89d2\u6ca1\u5bf9\u9f50\u65f6\u770b\u68f1\uff0cH \u548c Z \u4f1a\u8ba4\u9519\uff1b\u5bf9\u9f50\u4e86\u518d\u770b\uff0c\u68f1\u578b\u4e00\u76ee\u4e86\u7136\u3002<\/p>\n \u628a\u5f52\u4f4d\u7684\u90a3\u6761\u68f1\u8f6c\u5230\u80cc\u9762<\/strong>\uff0c\u5269\u4e0b\u4e09\u6761\u68f1\u8f6e\u6362\u3002\u4e24\u6761\u516c\u5f0f\uff0c\u65b9\u5411\u76f8\u53cd\uff1a<\/p>\n Ua\uff1aR U’ R U R U R U’ R’ U’ R2<\/strong>\u2014\u2014\u4e09\u6761\u68f1\u9006\u65f6\u9488\u8f6e\u6362\uff08\u4ece\u9876\u9762\u5f80\u4e0b\u770b\uff1a\u5de6\u8fb9\u7684\u68f1\u53bb\u524d\u9762\uff0c\u524d\u9762\u7684\u53bb\u53f3\u8fb9\uff0c\u53f3\u8fb9\u7684\u56de\u5de6\u8fb9\uff09\u3002\u8fd9\u6761\u4e0d\u7528\u65b0\u80cc\uff1a\u5b83\u5c31\u662f\u5165\u95e8\u5b8c\u7ed3\u7bc7\u7684\u6362\u68f1\u516c\u5f0f\uff0c\u4e00\u5b57\u4e0d\u5dee\u3002\u8ba4\u65b9\u5411\u4e0d\u7528\u6b7b\u8bb0\uff1a\u628a\u5f52\u4f4d\u7684\u68f1\u653e\u80cc\u9762\uff0c\u770b\u524d\u9762\u90a3\u6761\u68f1\u2014\u2014\u5b83\u7684\u4fa7\u9762\u989c\u8272\u548c\u53f3\u9762<\/strong>\u4e2d\u5fc3\u76f8\u540c\uff0c\u5b83\u5c31\u8be5\u56de\u53f3\u8fb9\uff0c\u505a Ua\u3002<\/p>\n Ub\uff1aR2 U R U R’ U’ R’ U’ R’ U R’<\/strong>\u2014\u2014\u4e09\u6761\u68f1\u987a\u65f6\u9488\u8f6e\u6362\u3002\u524d\u9762\u90a3\u6761\u68f1\u7684\u4fa7\u9762\u989c\u8272\u548c\u5de6\u9762<\/strong>\u4e2d\u5fc3\u76f8\u540c\uff0c\u5b83\u5c31\u8be5\u56de\u5de6\u8fb9\uff0c\u505a Ub\u3002<\/p>\n \u65b9\u5411\u770b\u53cd\u4e86\u600e\u4e48\u529e\uff1f\u4e0d\u7528\u6362\u516c\u5f0f\uff0c\u518d\u505a\u4e00\u6b21\u540c\u4e00\u6761<\/strong>\u5c31\u884c\uff1aUa \u505a\u4e24\u6b21\u7b49\u4e8e Ub \u7684\u65b9\u5411\uff08Ub \u505a\u4e24\u6b21\u4e5f\u4e00\u6837\uff09\u3002\u4e09\u8f6e\u6362\u505a\u4e24\u6b21\u7b49\u4e8e\u53cd\u5411\u8f6e\u6362\uff0c\u8fd9\u662f\u4e09\u8f6e\u6362\u672c\u8eab\u7684\u6027\u8d28\u3002<\/p>\n \u4e00\u6761\u5f52\u4f4d\u7684\u68f1\u90fd\u627e\u4e0d\u5230\uff0c\u8bf4\u660e\u56db\u6761\u68f1\u4e24\u4e24\u5bf9\u6362\u3002\u770b\u524d\u9762\u90a3\u6761\u68f1\u7684\u4fa7\u9762\u989c\u8272\uff1a<\/p>\n \u8fd9\u91cc\u7b2c\u4e00\u6b21\u51fa\u73b0 M<\/strong>\uff1a\u4e2d\u5c42\u8f6c\u52a8\uff0c\u65b9\u5411\u8ddf\u7740 L \u8d70\uff08L \u5f80\u54ea\u8fb9\u8f6c\uff0cM \u5c31\u5f80\u54ea\u8fb9\u8f6c\uff09\uff1bM2 \u662f\u8f6c\u534a\u5708\uff0c\u4e0d\u7528\u5206\u65b9\u5411\uff1bZ \u91cc\u90a3\u4e2a M’ \u662f\u53cd\u65b9\u5411\u3002H-perm \u5168\u662f M2 \u548c U\uff0c\u597d\u8bb0\uff1aM2 U M2 U2 M2 U M2\u3002Z-perm \u53ef\u4ee5\u8bb0\u6210\u4e24\u6bb5\uff1a\uff08M2 U M2 U M’\uff09\uff08U2 M2 U2 M’ U2\uff09\u3002\u505a\u4e4b\u524d\u5148\u5728\u590d\u539f\u597d\u7684\u9b54\u65b9\u4e0a\u7a7a\u8f6c\u51e0\u4e0b M \u548c M’\uff0c\u8bb0\u4f4f\u624b\u611f\u518d\u8fdb\u516c\u5f0f\u3002<\/p>\n \u81ea\u68c0<\/strong>\uff1a\u56db\u6761\u68f1\u5f52\u4f4d\u540e\uff0c\u6bcf\u4e2a\u4fa7\u9762\u7684\u989c\u8272\u90fd\u4e0e\u4e2d\u5fc3\u5bf9\u4e0a\uff1b\u8f6c\u4e00\u4e0b U \u5bf9\u9f50\u2014\u2014\u516d\u4e2a\u9762\u540c\u65f6\u5b8c\u6574\uff0c\u9b54\u65b9\u590d\u539f\u3002<\/p>\n \u4ece OLL \u7ed3\u675f\uff08\u9876\u9762\u5168\u9ec4\uff09\u5f00\u59cb\uff0cPLL \u53ea\u6709\u4e24\u6bb5\uff1a<\/p>\n \u6700\u540e\u90a3\u4e00\u4e0b U \u53eb AUF\uff08Adjust U Face\uff09\uff0c\u53ea\u662f\u5bf9\u9f50\uff0c\u4e0d\u7b97\u516c\u5f0f\u3002PLL \u7684\u516d\u6761\u516c\u5f0f\u90fd\u4e0d\u52a8\u524d\u4e24\u5c42\u3001\u4e5f\u4e0d\u6539\u53d8\u9876\u9762\u671d\u5411\uff0c\u6240\u4ee5 OLL \u7684\u6210\u679c\u4e0d\u4f1a\u4e22\uff1b\u4e24\u6b65\u4e4b\u95f4\u4e5f\u4e0d\u7528\u56de\u5934\u68c0\u67e5\u524d\u4e24\u5c42\u3002<\/p>\n \u6570\u4e00\u4e0b\u8d26\uff1a\u516d\u6761\u516c\u5f0f\u91cc\uff0cUa \u4f60\u65e9\u5c31\u4f1a\u4e86\uff1b\u65b0\u5b66\u7684\u5176\u5b9e\u53ea\u6709\u4e94\u6761\u2014\u2014Aa\u3001E\u3001Ub\u3001H\u3001Z\u3002\u5b8c\u6574 PLL \u662f 21 \u6761\uff0c\u4e24\u6b65\u7248\u7528 6 \u6761\u5c31\u8986\u76d6\u4e86\u5168\u90e8\u60c5\u51b5\uff0c\u4ee3\u4ef7\u662f\u5076\u5c14\u8981\u591a\u505a\u4e00\u6b21\u516c\u5f0f\uff08\u6bd4\u5982 U-perm 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