{"id":20010,"date":"2026-09-14T15:58:16","date_gmt":"2026-09-14T05:58:16","guid":{"rendered":"https:\/\/geoffreychen.com\/why-four-colours-are-enough-for-any-planar-map\/"},"modified":"2026-09-14T15:58:16","modified_gmt":"2026-09-14T05:58:16","slug":"why-four-colours-are-enough-for-any-planar-map","status":"publish","type":"post","link":"https:\/\/geoffreychen.com\/zh\/why-four-colours-are-enough-for-any-planar-map\/","title":{"rendered":"\u5730\u56fe\u4e3a\u4ec0\u4e48\u6700\u591a\u53ea\u9700\u8981\u56db\u79cd\u989c\u8272\uff1f"},"content":{"rendered":"<\/p>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/public-assets.geoffreychen.com\/wordpress\/articles\/why-four-colours-are-enough-for-any-planar-map\/b1a706c3b3c20f1c55a99954.jpg?w=1140&#038;ssl=1\" alt=\"\u5730\u56fe\u4e3a\u4ec0\u4e48\u6700\u591a\u53ea\u9700\u8981\u56db\u79cd\u989c\u8272\uff1f\" loading=\"lazy\"><\/p>\n<p>\u7ed9\u4e00\u5f20\u5e73\u9762\u5730\u56fe\u6d82\u8272\uff0c\u8981\u6c42\u5171\u4eab\u8fb9\u754c\u7684\u4e24\u4e2a\u533a\u57df\u989c\u8272\u4e0d\u540c\uff0c\u65e0\u8bba\u5730\u56fe\u600e\u6837\u590d\u6742\uff0c\u81f3\u591a\u56db\u79cd\u989c\u8272\u603b\u80fd\u5b8c\u6210\u3002\u8fd9\u662f\u56db\u8272\u5b9a\u7406\u3002\u5b83\u8bf4\u7684\u662f\u201c\u81f3\u591a\u201d\uff1a\u8bb8\u591a\u5730\u56fe\u4e24\u4e09\u79cd\u5c31\u591f\uff0c\u4e5f\u786e\u6709\u7ed3\u6784\u9700\u8981\u7b2c\u56db\u79cd\u989c\u8272\u3002<\/p>\n<p>\u6761\u4ef6\u5fc5\u987b\u8bf4\u6e05\u3002\u4e24\u4e2a\u533a\u57df\u53ea\u5728\u4e00\u4e2a\u89d2\u4e0a\u78b0\u5230\uff0c\u4e0d\u7b97\u76f8\u90bb\uff1b\u82e5\u5171\u4eab\u4e00\u6bb5\u8fb9\u754c\uff0c\u624d\u5fc5\u987b\u5f02\u8272\u3002\u6bcf\u4e2a\u533a\u57df\u8fd8\u5e94\u662f\u8fde\u901a\u7684\u3002\u73b0\u5b9e\u5730\u56fe\u91cc\u4e00\u56fd\u53ef\u80fd\u6709\u98de\u5730\u6216\u5c9b\u5c7f\uff0c\u82e5\u575a\u6301\u540c\u4e00\u56fd\u5bb6\u7684\u5206\u79bb\u90e8\u5206\u5fc5\u987b\u540c\u8272\uff0c\u95ee\u9898\u5c31\u5df2\u7ecf\u6539\u53d8\uff0c\u4e0d\u80fd\u76f4\u63a5\u5957\u7528\u539f\u5b9a\u7406\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\u5730\u56fe\u95ee\u9898\u4f1a\u53d8\u6210\u6570\u5b66\uff1f\u53ef\u4ee5\u5728\u6bcf\u4e2a\u533a\u57df\u653e\u4e00\u4e2a\u70b9\uff0c\u628a\u76f8\u90bb\u533a\u57df\u7684\u70b9\u8fde\u8d77\u6765\u3002\u8fde\u7ebf\u80fd\u591f\u5728\u5e73\u9762\u4e0a\u5b89\u6392\u5f97\u4e92\u4e0d\u4ea4\u53c9\uff0c\u4e8e\u662f\u5730\u56fe\u88ab\u8f6c\u6210\u201c\u5e73\u9762\u56fe\u201d\uff1b\u6d82\u5730\u56fe\u7b49\u4ef7\u4e8e\u7ed9\u8fd9\u4e9b\u70b9\u7740\u8272\uff0c\u4f7f\u6709\u8fde\u7ebf\u7684\u4e24\u70b9\u5f02\u8272\u3002\u56db\u8272\u5b9a\u7406\u4fdd\u8bc1\u6240\u6709\u8fd9\u6837\u7684\u5e73\u9762\u56fe\u90fd\u53ef\u56db\u8272\u7740\u8272\u3002\u5b83\u4e0d\u662f\u51ed\u8bd5\u8fc7\u5f88\u591a\u5730\u56fe\u5f97\u51fa\u7684\u8fd1\u4f3c\uff0c\u800c\u662f\u7ecf\u8fc7\u8bc1\u660e\u7684\u5b9a\u7406\uff1b\u6700\u65e9\u88ab\u666e\u904d\u63a5\u53d7\u7684\u8bc1\u660e\u57281976\u5e74\u501f\u52a9\u8ba1\u7b97\u673a\u68c0\u67e5\u5927\u91cf\u6784\u5f62\u3002<\/p>\n<p>\u6709\u8da3\u4e4b\u5904\u4e0d\u5728\u8282\u7701\u989c\u6599\uff0c\u800c\u5728\u5c40\u90e8\u9650\u5236\u600e\u6837\u5f62\u6210\u6574\u4f53\u4e0a\u9650\u3002\u4e00\u4e2a\u533a\u57df\u53ea\u9700\u907f\u5f00\u76f4\u63a5\u90bb\u5c45\u7684\u989c\u8272\uff0c\u4e0d\u5fc5\u907f\u5f00\u201c\u90bb\u5c45\u7684\u90bb\u5c45\u201d\u3002\u5e73\u9762\u53c8\u9650\u5236\u4e86\u76f8\u90bb\u5173\u7cfb\u80fd\u6709\u591a\u5bc6\u96c6\u3002\u56db\u79cd\u989c\u8272\u4e4b\u6240\u4ee5\u8db3\u591f\uff0c\u6765\u81ea\u8fd9\u4e24\u79cd\u7ea6\u675f\u5171\u540c\u4f5c\u7528\uff0c\u800c\u4e0d\u662f\u5730\u56fe\u901a\u5e38\u753b\u5f97\u7b80\u5355\u3002<\/p>\n<p><a href=\"https:\/\/mathworld.wolfram.com\/Four-ColorTheorem.html\" rel=\"nofollow\">https:\/\/mathworld.wolfram.com\/Four-ColorTheorem.html<\/a><\/p>\n<p><a href=\"https:\/\/distributedmuseum.illinois.edu\/exhibit\/four-color-theorem\/\" rel=\"nofollow\">https:\/\/distributedmuseum.illinois.edu\/exhibit\/four-color-theorem\/<\/a><\/p>\n<p><a href=\"https:\/\/mathshistory.st-andrews.ac.uk\/HistTopics\/The_four_colour_theorem\/\" rel=\"nofollow\">https:\/\/mathshistory.st-andrews.ac.uk\/HistTopics\/The_four_colour_theorem\/<\/a><\/p>\n<p>","protected":false},"excerpt":{"rendered":"","protected":false},"author":17897162,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_geoff_meta_description_en":"The four-colour theorem guarantees that four colours suffice for a planar map. 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