{"id":20514,"date":"2026-09-25T00:16:41","date_gmt":"2026-09-24T14:16:41","guid":{"rendered":"https:\/\/geoffreychen.com\/why-bubbles-in-foam-are-no-longer-round\/"},"modified":"2026-09-25T00:16:41","modified_gmt":"2026-09-24T14:16:41","slug":"why-bubbles-in-foam-are-no-longer-round","status":"publish","type":"post","link":"https:\/\/geoffreychen.com\/zh\/why-bubbles-in-foam-are-no-longer-round\/","title":{"rendered":"\u4e00\u5806\u6ce1\u6cab\u91cc\u7684\u6c14\u6ce1\u4e3a\u4ec0\u4e48\u4e0d\u518d\u662f\u5706\u7684\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-bubbles-in-foam-are-no-longer-round\/7c3ee9d1aecab5d68af79c4c.jpg?w=1140&#038;ssl=1\" alt=\"\u4e00\u5806\u6ce1\u6cab\u91cc\u7684\u6c14\u6ce1\u4e3a\u4ec0\u4e48\u4e0d\u518d\u662f\u5706\u7684\uff1f\" loading=\"lazy\"><\/p>\n<p>\u5b64\u7acb\u7684\u80a5\u7682\u6ce1\u63a5\u8fd1\u7403\u5f62\uff0c\u56e0\u4e3a\u5728\u4f53\u79ef\u4e00\u5b9a\u65f6\uff0c\u7403\u7684\u8868\u9762\u79ef\u6700\u5c0f\uff0c\u8868\u9762\u5f20\u529b\u4f1a\u628a\u8584\u819c\u62c9\u5411\u8f83\u5c0f\u9762\u79ef\u3002\u4f46\u8bb8\u591a\u6c14\u6ce1\u6324\u5728\u4e00\u8d77\u65f6\uff0c\u4e0d\u53ef\u80fd\u6bcf\u4e2a\u90fd\u4fdd\u6301\u5b8c\u6574\u7403\u9762\u800c\u53c8\u586b\u6ee1\u7a7a\u95f4\uff1b\u76f8\u90bb\u6c14\u6ce1\u4fbf\u5171\u4eab\u4e00\u5c42\u8584\u819c\uff0c\u5f7c\u6b64\u6324\u538b\u6210\u5e26\u6709\u66f2\u9762\u548c\u68f1\u7ebf\u7684\u591a\u9762\u5f62\u3002<\/p>\n<p>\u5171\u4eab\u8584\u819c\u4e5f\u4e0d\u662f\u968f\u610f\u6298\u53e0\u3002\u82e5\u4e24\u8fb9\u6c14\u6ce1\u5927\u5c0f\u76f8\u8fd1\u3001\u538b\u529b\u76f8\u8fd1\uff0c\u4e2d\u95f4\u819c\u63a5\u8fd1\u5e73\u9762\uff1b\u8f83\u5c0f\u6c14\u6ce1\u5185\u90e8\u538b\u529b\u901a\u5e38\u66f4\u9ad8\uff0c\u5171\u4eab\u819c\u4f1a\u671d\u8f83\u5927\u7684\u6c14\u6ce1\u4e00\u4fa7\u9f13\u51fa\u3002\u5728\u7a33\u5b9a\u6ce1\u6cab\u4e2d\uff0c\u4e09\u7247\u8584\u819c\u5e38\u6cbf\u4e00\u6761\u68f1\u76f8\u4ea4\uff0c\u5e76\u5927\u81f4\u5f62\u6210120\u5ea6\u5939\u89d2\u3002\u8fd9\u662f\u8868\u9762\u5f20\u529b\u8fbe\u5230\u5c40\u90e8\u5e73\u8861\u65f6\u7684\u7ed3\u6784\uff0c\u5c5e\u4e8e\u666e\u62c9\u6258\u5b9a\u5f8b\u63cf\u8ff0\u7684\u89c4\u5f8b\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6ce1\u6cab\u4e2d\u7684\u6c14\u6ce1\u4e0d\u662f\u201c\u5931\u53bb\u8868\u9762\u5f20\u529b\u201d\u624d\u53d8\u5f62\uff0c\u6070\u6070\u662f\u8868\u9762\u5f20\u529b\u5728\u62e5\u6324\u6761\u4ef6\u4e0b\u7ee7\u7eed\u51cf\u5c11\u603b\u8868\u9762\u79ef\u3002\u73b0\u5b9e\u6ce1\u6cab\u8fd8\u4f1a\u6392\u6c34\u3001\u7834\u88c2\u548c\u5408\u5e76\uff0c\u6240\u4ee5\u5f62\u72b6\u4e0d\u65ad\u53d8\u5316\uff1b\u4e5f\u4e0d\u80fd\u7b80\u5355\u8bf4\u6bcf\u4e2a\u6c14\u6ce1\u90fd\u662f\u516d\u8fb9\u5f62\u3002\u5173\u952e\u4e0d\u662f\u67d0\u4e2a\u56fa\u5b9a\u591a\u8fb9\u5f62\uff0c\u800c\u662f\u5171\u4eab\u8fb9\u754c\u600e\u6837\u5728\u4f53\u79ef\u3001\u538b\u529b\u4e0e\u6700\u5c0f\u9762\u79ef\u4e4b\u95f4\u53d6\u5f97\u5c40\u90e8\u5e73\u8861\u3002<\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"n6j1OIqPGK\"><p><a href=\"https:\/\/annals.math.princeton.edu\/1976\/103-3\/p08\" target=\"_blank\" rel=\"noopener\">The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u201cThe structure of singularities in soap-bubble-like and soap-film-like minimal surfaces\u201d \u2014 Annals of Mathematics\" src=\"https:\/\/annals.math.princeton.edu\/1976\/103-3\/p08\/embed#?secret=VMDm8zYbdI#?secret=n6j1OIqPGK\" data-secret=\"n6j1OIqPGK\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/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":"An isolated bubble tends towards a sphere, but bubbles packed into foam share films and become polyhedral under surface tension and pressure differences.","_geoff_meta_description_zh":"\u5355\u4e2a\u6c14\u6ce1\u8d8b\u5411\u7403\u5f62\uff0c\u6324\u5728\u6ce1\u6cab\u91cc\u5374\u4f1a\u5171\u4eab\u8584\u819c\u5e76\u53d8\u6210\u591a\u9762\u5f62\u3002\u8868\u9762\u5f20\u529b\u3001\u538b\u529b\u5dee\u548c\u666e\u62c9\u6258\u5b9a\u5f8b\u5171\u540c\u51b3\u5b9a\u8fd9\u79cd\u51e0\u4f55\u7ed3\u6784\uff0c\u4e5f\u8bf4\u660e\u6c14\u6ce1\u5e76\u975e\u90fd\u662f\u516d\u8fb9\u5f62\u3002","_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[787297218],"tags":[787298710,787300847,787298709,787300848],"class_list":["post-20514","post","type-post","status-publish","format-standard","hentry","category-daily-maths-physics-chemistry","tag-surface-tension-zh","tag-foam-physics","tag-surface-tension","tag-foam-physics-zh",""],"translatepress_titles":{"en_AU":"Why Are Bubbles in a Foam No Longer Round?","zh_CN":"\u4e00\u5806\u6ce1\u6cab\u91cc\u7684\u6c14\u6ce1\u4e3a\u4ec0\u4e48\u4e0d\u518d\u662f\u5706\u7684\uff1f"},"jetpack_publicize_connections":[],"jetpack_likes_enabled":false,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1ar9H-5kS","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/20514","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/users\/17897162"}],"replies":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/comments?post=20514"}],"version-history":[{"count":0,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/20514\/revisions"}],"wp:attachment":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/media?parent=20514"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/categories?post=20514"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/tags?post=20514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}