{"id":114,"date":"2026-10-30T16:18:54","date_gmt":"2026-10-30T08:18:54","guid":{"rendered":"http:\/\/helyn.eu.org\/index.php\/2026\/10\/30\/4x4-cube-reduction\/"},"modified":"2026-10-30T16:18:54","modified_gmt":"2026-10-30T08:18:54","slug":"4x4-cube-reduction","status":"publish","type":"post","link":"https:\/\/helyn.eu.org\/index.php\/2026\/10\/30\/4x4-cube-reduction\/","title":{"rendered":"\u56db\u9636\u9b54\u65b9\u5165\u95e8\uff1a\u964d\u9636\u6cd5"},"content":{"rendered":"

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    \u628a 2\u00d72 \u4e2d\u5fc3\u7247\u770b\u6210\u4e09\u9636\u7684\u4e2d\u5fc3\u5757\uff0c\u628a\u6bcf\u7ec4\u68f1\u770b\u6210\u4e09\u9636\u7684\u4e00\u6761\u68f1\uff0c\u7b2c 1\u20134 \u7bc7\u7684\u4e03\u6b65\u539f\u6837\u8d70\u4e00\u904d\uff1a\u5e95\u5c42\u5341\u5b57 \u2192 \u5e95\u5c42\u89d2\u5757 \u2192 \u4e2d\u5c42\u68f1\u5757 \u2192 \u9876\u5c42\u5341\u5b57 \u2192 \u9876\u9762\u7ffb\u8272 \u2192 \u9876\u89d2\u5f52\u4f4d \u2192 \u9876\u68f1\u5f52\u4f4d\u3002\u6709\u4e9b\u56db\u9636\u6253\u4e71\u8d70\u5230\u8fd9\u91cc\u5c31\u76f4\u63a5\u7ed3\u675f\u4e86\u3002\u4f46\u534a\u8def\u4e0a\u6216\u6700\u540e\u5173\u5934\u649e\u89c1\u4e0b\u9762\u4e24\u79cd\u300c\u4e09\u9636\u91cc\u7edd\u4e0d\u53ef\u80fd\u51fa\u73b0\u300d\u7684\u5c40\u9762\u7684\u53ef\u80fd\u6027\u5e76\u4e0d\u4f4e\uff0c\u649e\u89c1\u65f6\u4e0d\u8981\u6000\u7591\u81ea\u5df1\u2014\u2014\u90a3\u662f\u56db\u9636\u56fa\u6709\u7684\u7279\u6b8a\u60c5\u51b5\uff0c\u4e0b\u4e00\u8282\u4e13\u95e8\u5904\u7406\u3002<\/p>\n

    \u4e94\u3001\u7b2c\u56db\u6b65\uff1a\u4e24\u4e2a\u7279\u6b8a\u60c5\u51b5<\/h2>\n

    \u56db\u9636\u7684\u7ffc\u68f1\u662f\u6210\u5bf9\u7684\uff0c\u914d\u5bf9\u8fd9\u4e2a\u52a8\u4f5c\u85cf\u7740\u4e00\u4e2a\u4e09\u9636\u6ca1\u6709\u7684\u81ea\u7531\u5ea6\uff0c\u4e8e\u662f\u591a\u51fa\u4e86\u4e0b\u9762\u4e24\u4e2a\u7279\u6b8a\u60c5\u51b5\uff1a\u6bcf\u4e00\u4e2a\u5404\u6709\u7ea6\u4e00\u534a\u7684\u51fa\u73b0\u6982\u7387\uff0c\u4e92\u4e0d\u76f8\u5e72\u2014\u2014\u53ef\u80fd\u4e00\u4e2a\u90fd\u4e0d\u6765\uff0c\u53ef\u80fd\u53ea\u6765\u4e00\u4e2a\uff0c\u4e5f\u53ef\u80fd\u63a5\u8fde\u6765\u4e24\u4e2a\uff1a<\/p>\n

    \u60c5\u51b5\u4e00\uff1a\u5355\u68f1\u7ffb\u8f6c\uff08\u9876\u5c42\u5341\u5b57\u9636\u6bb5\u53d1\u73b0\uff09<\/h3>\n

    \u8bc6\u522b<\/strong>\uff1a\u505a\u5b8c\u524d\u4e24\u5c42\u3001\u8fdb\u5165\u9876\u5c42\u5341\u5b57\u65f6\uff0c\u6570\u4e00\u6570\u9ec4\u8272\u671d\u4e0a\u7684\u68f1\u7ec4\uff1a\u6b63\u5e38\u53ea\u53ef\u80fd\u662f 0\u30012\u30014 \u7ec4\uff1b\u5982\u679c\u6570\u51fa 1 \u7ec4\u6216 3 \u7ec4<\/strong>\uff0c\u6216\u8005\u5341\u5b57\u505a\u5230\u6700\u540e\u603b\u6709\u4e00\u7ec4\u68f1\u7684\u9ec4\u8272\u987d\u56fa\u5730\u671d\u5411\u4fa7\u9762\u2014\u2014\u5c31\u662f\u5b83\uff1a\u6709\u4e00\u7ec4\u68f1\u6574\u7ec4\u7ffb\u8f6c\u4e86\u3002<\/p>\n

    \"\u5355\u68f1\u7ffb\u8f6c\uff1a\u9876\u9762\u53ea\u6709\u6b63\u524d\u65b9\u4e00\u7ec4\u68f1\u4e0d\u662f\u9ec4\u8272\uff0c\u5b83\u7684\u9ec4\u8272\u8d34\u7eb8\u7ffb\u5230\u4e86\u524d\u9762\"<\/p>\n

    \u5904\u7406<\/strong>\uff1a\u8d81\u9876\u5c42\u8fd8\u6ca1\u5f00\u59cb\u505a\uff08\u89d2\u548c\u68f1\u7684\u4f4d\u7f6e\u53cd\u6b63\u90fd\u6ca1\u5f52\u4f4d\uff09\uff0c\u628a\u7ffb\u8f6c\u7684\u8fd9\u7ec4\u68f1\u8f6c\u5230\u9876\u5c42\u6b63\u524d\u65b9\uff0c\u505a\u516c\u5f0f\uff1a<\/p>\n

    Rw U2 x Rw U2 Rw U2 Rw’ U2 Lw U2 Rw’ U2 Rw U2 Rw’ U2 Rw’<\/strong><\/p>\n

    \u8fd9\u6761\u516c\u5f0f\u6bd4\u8f83\u957f\uff0c\u6162\u6162\u505a\u3001\u6570\u7740\u6bb5\u505a\u3002\u5b83\u628a\u6b63\u524d\u65b9\u8fd9\u7ec4\u68f1\u7ffb\u56de\u6765\uff0c\u4ee3\u4ef7\u662f\u987a\u5e26\u6253\u4e71\u9876\u5c42\u7684\u89d2\u548c\u5de6\u53f3\u4e24\u7ec4\u68f1\u2014\u2014\u65e0\u6240\u8c13\uff0c\u9876\u5c42\u8fd8\u6ca1\u52a8\u5de5\uff1b\u5df2\u7ecf\u5b8c\u6210\u7684\u524d\u4e24\u5c42\u3001\u4e2d\u5fc3\u548c\u5176\u5b83\u68f1\u7ec4\u90fd\u4e0d\u53d7\u5f71\u54cd\u3002\u505a\u5b8c\u4e4b\u540e\u56de\u5230\u7b2c 3 \u7bc7\uff0c\u4ece\u9876\u5c42\u5341\u5b57\u91cd\u65b0\u5f80\u4e0b\u8d70\u5373\u53ef\u3002<\/p>\n

    \u60c5\u51b5\u4e8c\uff1a\u5bf9\u68f1\u4ea4\u6362\uff08\u6700\u540e\u4e00\u6b65\u53d1\u73b0\uff09<\/h3>\n

    \u8bc6\u522b<\/strong>\uff1a\u5176\u4f59\u5168\u90e8\u5b8c\u6210\uff0c\u53ea\u5269\u9876\u5c42\u4e24\u7ec4\u68f1\u4e92\u6362\u4e86\u4f4d\u7f6e\uff0c\u5176\u5b83\u5757\u5168\u5bf9\u3002\u4e09\u9636\u91cc\u7edd\u4e0d\u4f1a\u53ea\u5269\u4e24\u6761\u68f1\u8981\u4ea4\u6362\u2014\u2014\u8fd9\u662f\u56db\u9636\u7684\u7b2c\u4e8c\u79cd\u7279\u6b8a\u60c5\u51b5\u3002<\/p>\n

    \u5904\u7406<\/strong>\uff1a\u8f6c\u52a8\u9876\u5c42\uff0c\u8ba9\u9700\u8981\u4ea4\u6362\u7684\u4e24\u7ec4\u68f1\u4e00\u7ec4\u5230\u524d\u9762\u3001\u4e00\u7ec4\u5230\u540e\u9762\uff0c\u505a\u516c\u5f0f\uff1a<\/p>\n

    r2 U2 r2 Uw2 r2 Uw2 U2<\/strong><\/p>\n

    \uff08\u8fd9\u91cc\u7684 r \u662f\u53f3\u8fb9\u7b2c\u4e8c\u5c42\u5355\u72ec\u8f6c\uff0cUw \u662f\u9876\u4e0a\u4e24\u5c42\u4e00\u8d77\u8f6c\u3002\uff09\u8fd9\u6761\u516c\u5f0f\u53ea\u4ea4\u6362\u524d\u540e\u4e24\u7ec4\u68f1\uff0c\u5176\u5b83\u4efb\u4f55\u5757\u90fd\u4e0d\u52a8\uff0c\u505a\u5b8c\u2014\u2014\u6574\u4e2a\u56db\u9636\u590d\u539f\u5b8c\u6210\u3002<\/p>\n

    \u516d\u3001\u516c\u5f0f\u8868\uff08\u672c\u7bc7\u6c47\u603b\uff09<\/h2>\n\n\n\n\n\n\n\n
    \u7528\u9014<\/th>\n\u516c\u5f0f<\/th>\n<\/tr>\n<\/thead>\n
    \u5bf9\u68f1\uff08\u6446\u4f4d\u540e\u914d\u6210\u4e00\u7ec4\uff09<\/td>\nDw R F’ U R’ F Dw’<\/td>\n<\/tr>\n
    \u7279\u6b8a\u60c5\u51b5\u4e00\uff1a\u5355\u68f1\u7ffb\u8f6c<\/td>\nRw U2 x Rw U2 Rw U2 Rw’ U2 Lw U2 Rw’ U2 Rw U2 Rw’ U2 Rw’<\/td>\n<\/tr>\n
    \u7279\u6b8a\u60c5\u51b5\u4e8c\uff1a\u5bf9\u68f1\u4ea4\u6362<\/td>\nr2 U2 r2 Uw2 r2 Uw2 U2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    \u4e03\u3001\u5e38\u89c1\u9519\u8bef<\/h2>\n
      \n
    • \u75c7\u72b6\uff1a\u4e2d\u5fc3\u5168\u62fc\u5b8c\u4e86\uff0c\u6309\u4e09\u9636\u89e3\u5230\u6700\u540e\u53d1\u73b0\u7ea2\u3001\u6a59\u4e24\u4e2a\u9762\u6574\u4f53\u53cd\u4e86\u3002<\/strong> \u539f\u56e0\uff1a\u5408\u4e2d\u5fc3\u65f6\u914d\u8272\u65b9\u4f4d\u5b9a\u9519\uff08\u6bd4\u5982\u628a\u7ea2\u62fc\u5230\u4e86\u6a59\u7684\u4f4d\u7f6e\uff09\u3002\u600e\u4e48\u529e\uff1a\u56de\u5230\u7b2c\u4e00\u6b65\u7684\u81ea\u68c0\u2014\u2014\u4e2d\u5fc3\u62fc\u5b8c\u5fc5\u987b\u62ff\u89d2\u5757\u6821\u9a8c\u65b9\u4f4d\uff0c\u522b\u7b49\u89e3\u5230\u6700\u540e\u624d\u53d1\u73b0\u3002<\/li>\n
    • \u75c7\u72b6\uff1a\u914d\u597d\u7684\u68f1\u7ec4\u505a\u5230\u540e\u9762\u8d8a\u6765\u8d8a\u5c11\u3002<\/strong> \u539f\u56e0\uff1a\u4e09\u9636\u9636\u6bb5\u8f6c\u5916\u5c42\u65f6\u8bef\u5e26\u4e86\u7b2c\u4e8c\u5c42\uff0c\u628a\u68f1\u7ec4\u62c6\u5f00\u4e86\uff1b\u6216\u8005\u914d\u597d\u7684\u7ec4\u5b58\u5728\u524d\u9762\u3001\u5de6\u9762\uff0c\u88ab\u5bf9\u68f1\u516c\u5f0f\u6405\u6563\u3002\u600e\u4e48\u529e\uff1a\u914d\u597d\u7684\u7ec4\u5b58\u53f3\u9762\u3001\u5e95\u9762\uff1b\u4e09\u9636\u9636\u6bb5\u634f\u5916\u5c42\u3001\u8f6c\u5355\u5c42\u3002<\/li>\n
    • \u75c7\u72b6\uff1a\u9876\u5c42\u5341\u5b57\u6709\u4e00\u7ec4\u68f1\u600e\u4e48\u90fd\u7ffb\u4e0d\u8fc7\u6765\uff0c\u6000\u7591\u9b54\u65b9\u88c5\u9519\u4e86\u3002<\/strong> \u539f\u56e0\uff1a\u8fd9\u5c31\u662f\u7279\u6b8a\u60c5\u51b5\u4e00\uff0c\u4e0d\u662f\u88c5\u9519\u3002\u600e\u4e48\u529e\uff1a\u6309\u672c\u7bc7\u5904\u7406\uff0c\u522b\u62c6\u9b54\u65b9\u2014\u2014\u62c6\u5f00\u91cd\u88c5\u53cd\u800c\u53ef\u80fd\u88c5\u51fa\u771f\u6b63\u4e0d\u53ef\u89e3\u7684\u72b6\u6001\u3002<\/li>\n
    • \u75c7\u72b6\uff1a\u5bf9\u68f1\u65f6\u6446\u4f4d\u603b\u6446\u4e0d\u5bf9\uff0c\u4e24\u53ea\u7ffc\u68f1\u7684\u671d\u5411\u51d1\u4e0d\u9f50\u300c\u540c\u8272\u671d\u524d\u300d\u3002<\/strong> \u539f\u56e0\uff1a\u6025\u7740\u505a\u516c\u5f0f\u3002\u600e\u4e48\u529e\uff1a\u6446\u4f4d\u9636\u6bb5\u53ea\u7528\u5916\u5c42\u8f6c\u3001\u65f6\u95f4\u4e0d\u9650\uff0c\u6162\u6162\u628a\u4e24\u53ea\u7ffc\u68f1\u4e00\u5148\u4e00\u540e\u9001\u8fdb\u524d\u9762\u5de6\u53f3\u7684\u4e0b\u7ffc\u4f4d\uff0c\u671d\u5411\u4e0d\u5bf9\u5c31\u5148\u8f6c\u5230\u522b\u7684\u9762\u8c03\u6574\u518d\u9001\u56de\u6765\u3002<\/li>\n<\/ul>\n

      \u5c0f\u7ed3<\/h2>\n

      \u56db\u9636\u7684\u964d\u9636\u6cd5\uff0c\u672c\u8d28\u662f\u300c\u5148\u82b1\u4e24\u6b65\u628a\u56db\u9636\u53d8\u56de\u4e09\u9636\uff0c\u518d\u82b1\u4e00\u6b65\u8ba4\u8bc6\u65b0\u60c5\u51b5\u300d\uff1a\u5408\u4e2d\u5fc3\u5b9a\u65b9\u4f4d\u3001\u5bf9\u68f1\u6210\u7ec4\u3001\u4e09\u9636\u4e03\u6b65\u7167\u65e7\u3001\u7279\u6b8a\u60c5\u51b5\u4e24\u6761\u516c\u5f0f\u515c\u5e95\u3002\u628a\u8fd9\u7bc7\u8d70\u901a\uff0c\u4f60\u5bf9\u300c\u9b54\u65b9\u662f\u4e00\u7c7b\u53ef\u4ee5\u4e92\u76f8\u5316\u7ea6\u7684\u95ee\u9898\u300d\u4f1a\u6709\u5f88\u5177\u4f53\u7684\u4f53\u4f1a\u2014\u2014\u8fd9\u4e2a\u4f53\u4f1a\u4e0b\u4e00\u7bc7\u9a6c\u4e0a\u7528\u5230\uff1a\u4e00\u5806\u5947\u5f62\u602a\u72b6\u7684\u5f02\u79cd\u9b54\u65b9\uff0c\u770b\u7740\u552c\u4eba\uff0c\u62c6\u5f00\u770b\u5927\u591a\u8fd8\u662f\u8fd9\u51e0\u62db\u3002<\/p>\n

      \u4e0b\u4e00\u7bc7\u9884\u544a<\/strong>\uff1a\u300a\u5f02\u79cd\u9b54\u65b9\u5bfc\u89c8\uff1a\u91d1\u5b57\u5854\u3001\u4e94\u9b54\u65b9\u3001\u659c\u8f6c\u3001\u955c\u9762\u300b\u2014\u2014\u4e0d\u9010\u4e2a\u6df1\u8bb2\uff0c\u6bcf\u79cd\u7528\u4e00\u8282\u8bf4\u6e05\u7ed3\u6784\u3001\u4e0e\u4e09\u9636\u7684\u4eb2\u621a\u5173\u7cfb\u548c\u4e0a\u624b\u7684\u7b2c\u4e00\u6b65\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

      \u4e8c\u9636\u662f\u4e09\u9636\u7684\u7626\u8eab\uff0c\u56db\u9636\u6b63\u597d\u53cd\u8fc7\u6765\uff1a\u6bcf\u8fb9\u4ece 3 \u5757\u6da8\u5230 4 \u5757\uff0c\u96f6\u4ef6\u603b\u6570\u4ece 26 \u6da8\u5230\u2026<\/p>\n","protected":false},"author":1,"featured_media":115,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-114","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mofang"],"_links":{"self":[{"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/posts\/114","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/comments?post=114"}],"version-history":[{"count":0,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/posts\/114\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/media\/115"}],"wp:attachment":[{"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/media?parent=114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/categories?post=114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/helyn.eu.org\/index.php\/wp-json\/wp\/v2\/tags?post=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}