Article(id=1202251049785585707, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1202251045700333591, articleNumber=null, orderNo=5, doi=, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=null, receivedDateStr=null, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1764568587013, onlineDateStr=2025-12-01, pubDate=1748361600000, pubDateStr=2025-05-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1750780800000, onlineIssueDateStr=2025-06-25, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1764568587013, creator=13701087609, updateTime=1774079680253, updator=sys-migrate, issue=Issue{id=1202251045700333591, tenantId=1146029695717560320, journalId=1146031591421210625, year='2025', volume='43', issue='10', pageStart='1', pageEnd='112', issueExtLink='null', onlineDate='null', pubDate='1748361600000', pubDateStr='2025-05-28', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1764568586039, creator='13701087609', updateTime=1774330940338, updator='13041195026', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1243197327440196270, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1202251045700333591, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1243197327440196271, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1202251045700333591, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=8, endPage=8, ext={EN=ArticleExt(id=1202251050091769902, articleId=1202251049785585707, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=null, columnId=1157710593001177623, journalTitle=Science & Technology Review, columnName=Science and Technology News, runingTitle=null, highlight=null, articleAbstract=null, authors=null, authorsList=null, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=All rights reserved. Unauthorized reproduction is prohibited., copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1202251050569920569, articleId=1202251049785585707, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=玫瑰花瓣尖角源于独特的几何“阻挫”, columnId=1157710593177338394, journalTitle=科技导报, columnName=科技新闻, runingTitle=null, highlight=null, articleAbstract=

玫瑰花瓣那优雅的卷曲边缘和独特的尖角,长期以来被视为自然之美的象征。然而,2025年5月1日,《Science》发表的一项研究指出,这种美丽的形态源于一种前所未见的几何力学机制。

, authors=null, authorsList=null, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=版权所有,未经授权,不得转载。, copyrightOwner=《科技导报》编辑部, extLink=null, articleAbsUrl=null, sourceXml=U01mK3Zc9ldcs6UCRyxR7g==, magXml=U01mK3Zc9ldcs6UCRyxR7g==, pdfUrl=null, pdf=RS5wfTkT6+IZtt7mZXBN9Q==, pdfFileSize=862568, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=8wyVpJ/eMtYeEt82J9sV5A==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=I20Try0KOpCzxTywLEtteQ==, mapNumber=null, fund=null)}, authors=null, keywords=null, refs=null, funds=null, companyList=null, figs=[ArticleFig(id=1242143470975005447, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1202251049785585707, language=EN, label=null, caption=null, figureFileSmall=NL+0IyNyMesjd54GKLQqXQ==, figureFileBig=g4Hy4MQj3Em8yxALjZhExA==, tableContent=null), ArticleFig(id=1242143471046308616, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1202251049785585707, language=CN, label=图1, caption=《Science》封面所呈现了玫瑰花瓣形状的几何奥秘

(图片来源:《Science》)

, figureFileSmall=NL+0IyNyMesjd54GKLQqXQ==, figureFileBig=g4Hy4MQj3Em8yxALjZhExA==, tableContent=null)], attaches=null, journal=Journal(id=1125356956822126595, delFlag=0, nameCn=科技导报, nameEn=Science & Technology Review, nameHistory1=null, nameHistory2=null, issn=1000-7857, eissn=, cn=11-1421/N, coden=null, periodic=3, language=CN, oaType=0, ccby=null, superviseOffice=null, ownerOffice=null, pubOffice=null, editorOffice=null, officeType=null, aims=null, clcCode=null, officeProv=null, officeCity=null, officeAddr=null, officeZip=null, officeEmail=null, officePhone=null, editDirector=null, officeDirector=null, officeDirectorPhone=null, officeStaffNum=null, officeEmpNum=null, coverPicUrl=wfghvu3bhh/dKxuZ+ucVHA==, journalPrice=null, startedYear=null, abbrevIsoEn=Sci Technol Rev, journalRemark=null, publicationField=null, createdTime=null, updatedTime=1784015846012, createdBy=null, updatedBy=13041195026, firstLetterCn=K, firstLetterEn=K, subjectCode=Natural Sciences, subjectName=自然科学, subjectCodeEn=Natural Sciences, subjectNameEn=null, picCn=wfghvu3bhh/dKxuZ+ucVHA==, picEn=yjSfclmpNm7ihn9NbTZ69g==, jcr=null, cjcr=null, exts=[JournalExt(id=1283818766098219763, language=CN, name=科技导报, nameHistory1=null, nameHistory2=null, managedBy=中国科学技术协会, sponsoredBy=中国科学技术协会, publishedBy=科技导报社, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.kjdb.org/CN/home, createdTime=1784015846037, updatedTime=1784015846037, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.kjdb.org/CN/column/column7.shtml, submissionAuthorUrl=https://kjdbauthor.cast.org.cn/webm, submissionEditorUrl=https://kjdbeditor.cast.org.cn/webm/, submissionReviewUrl=https://kjdbauthor.cast.org.cn/webm, submissionCeEditorUrl=https://kjdbeditor.cast.org.cn/webm/, submissionAeEditorUrl=https://kjdbeditor.cast.org.cn/webm/, option={"copyright":""}), JournalExt(id=1283818766144357108, language=EN, name=Science & Technology Review, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.kjdb.org/EN/home, createdTime=1784015846048, updatedTime=1784015846048, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.kjdb.org/EN/column/column7.shtml, submissionAuthorUrl=https://kjdbauthor.manuscriptcloud.com/login, submissionEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, submissionReviewUrl=https://kjdbauthor.manuscriptcloud.com/login, submissionCeEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, submissionAeEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, option={"copyright":""})], databaseList=null, tenantJournalId=1146031591421210625, websiteList=[Website(id=1146104741081231361, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031591421210625, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/kjdb/CN, language=CN, createTime=1751182263881, createBy=18614031015, updateTime=1751778001962, updateBy=18614031015, name=科技导报, tplId=1146099689490845704, title=科技导报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1148021146403992296, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=articleTextType, value=kx, createTime=1751639170504, updateTime=1751639170504, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146378826469, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=banner, value=null, createTime=1751639170498, updateTime=1751639170498, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146366243556, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic?fileId=9GHSf7eGlIPH0Tv/OOdstA==, createTime=1751639170495, updateTime=1751639170495, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146395603687, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic, createTime=1751639170502, updateTime=1751639170502, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146387215078, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1751639170500, updateTime=1751639170500, creator=18614031015, updator=18614031015)]), Website(id=1146105254833139715, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031591421210625, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/kjdb/EN, language=EN, createTime=1751182386363, createBy=18614031015, updateTime=1753500121937, updateBy=18614031015, name=科技导报, tplId=1146101810881728533, title=Science & Technology Review, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1155838567709528217, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=articleTextType, value=kx, createTime=1753502988984, updateTime=1753502988984, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567692750998, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=banner, value=null, createTime=1753502988980, updateTime=1753502988980, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567688556693, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/EN/file/pic?fileId=9GHSf7eGlIPH0Tv/OOdstA==, createTime=1753502988979, updateTime=1753502988979, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567705333912, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/EN/file/pic, createTime=1753502988983, updateTime=1753502988983, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567701139607, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_en_623/, createTime=1753502988982, updateTime=1753502988982, creator=18614031015, updator=18614031015)])], journalTitle=科技导报, weixinUrl=null, journalUrl=null, iacademicId=null, status=1, seqNo=null, journalTitleEn=Science & Technology Review, journalPhotoCn=wfghvu3bhh/dKxuZ+ucVHA==, journalPhotoEn=yjSfclmpNm7ihn9NbTZ69g==, journalFirstLetter=K, journalRecommend=null, journalNew=null, journalCollection=1, jcrJf=null, cjcrJf=0.91, jcrJfStr=null, cjcrJfStr=null, submissionFirstDecision=null, sciSubjectClassification=null, casSubjectClassification=null, citeScore=null, totalCitationFrequency=null, icpCode=null, psCode=null, advertisingLicenseCode=null, copyrightInformation=null, country=null, option=, provinceCode=null, provinceName=null, collectFlag=false, interPubPlatform=, interPubPlatformUrl=null), detailUrlCn=https://castjournals.cast.org.cn/joweb/kjdb/CN/Y2025/V43/I10/8, detailUrlEn=https://castjournals.cast.org.cn/joweb/kjdb/EN/Y2025/V43/I10/8, pdfUrlCn=https://castjournals.cast.org.cn/joweb/kjdb/CN/PDF/Y2025/V43/I10/8, pdfUrlEn=https://castjournals.cast.org.cn/joweb/kjdb/EN/PDF/Y2025/V43/I10/8, aliStartDate=null, aliEndDate=null, collectionFlag=false, citedCount=null, citedUrl=null, previewStatus=0, delFlag=0, hasFullText=1, orderTime=1748361600000, fullTextJson=null, articleText=null, reference=null)
收藏切换
玫瑰花瓣尖角源于独特的几何“阻挫”
收藏切换
PDF下载
科技导报 | 科技新闻 2025,43(10): 8-8
收起
收藏切换
科技导报 |科技新闻 2025 , 43 (10) : 8 -8
玫瑰花瓣尖角源于独特的几何“阻挫”
全屏
作者信息
  • Affiliations
    出版时间: 2025-05-28 doi:
    文章导航
    收藏切换

    玫瑰花瓣那优雅的卷曲边缘和独特的尖角,长期以来被视为自然之美的象征。然而,2025年5月1日,《Science》发表的一项研究指出,这种美丽的形态源于一种前所未见的几何力学机制。

    . 玫瑰花瓣尖角源于独特的几何“阻挫”. 科技导报, 2025 , 43 (10) : 8 -8 .
    . Science & Technology Review, 2025 , 43 (10) : 8 -8 .
    玫瑰花瓣那优雅的卷曲边缘和独特的尖角,长期以来被视为自然之美的象征。然而,2025年5月1日,《Science》发表的一项研究指出,这种美丽的形态源于一种前所未见的几何力学机制。
    在大多数植物叶片与花瓣中,边缘比中心生长得更快时,会出现类似波浪的柔和卷曲,这源于所谓的“高斯不兼容性”——生长引发的内在几何倾向与三维空间形变之间的不匹配,导致材料产生皱褶和波纹。然而,玫瑰花瓣却“例外”:它们的内在几何本可保持平坦,却在边缘出现了向外卷成圆筒的外在几何,不得不沿着花瓣分裂成多个弧段,每段之间形成尖角以释放应力。
    以色列希伯来大学的中国博士后张亚飞等,首次将“MainardiCodazzi-Peterson(MCP)不兼容性”与玫瑰花瓣的尖角成形联系起来。他们证明,正是这种几何“阻挫”将应力高度聚焦,使得花瓣边缘由平滑过渡到清晰分明的尖脊。MCP方程在微分几何中具有重要意义,保证三维空间中光滑曲面法向变化的平滑性。玫瑰花瓣的尖角,恰好是违背了MCP方程所致的“美丽错误”。
    虽然研究人员尚未完全确定玫瑰花“这样做”的目的,但他们提出了一些有趣的猜想。例如,尖角和卷边可能有助于吸引传粉昆虫——相比于简单形态,复杂边缘可能反射更多光线或更容易被察觉;又或者,这种形态有助于收集晨露,为花朵提供更多水分;甚至可能提升花瓣的结构强度,让花朵在风雨中更加坚韧。
    这项研究不仅令人赞叹自然之美,更具有现实的工程启发意义,未来可能在柔性结构、建筑材料甚至机器人设计中得到应用。
    (来源《Science》、麻省理工科技评论网)

    参考文献 引证文献
    排序方式:
    2025年第43卷第10期
    PDF下载
    468
    237
    引用本文
    BibTeX
    文章信息
    • 首发时间:2025-12-01
    • 出版时间:2025-05-28
    补充材料
    相关文章
    文章信息
    作者
    出版历史
    基金
    作者信息
    参考文献
    分享链接
    https://castjournals.cast.org.cn/joweb/kjdb/CN/1202251049785585707
    分享至
    全文二维码

    扫描看全文

    引用本文
    BibTeX
    本文的引用情况
    2种不同金属材料的力学参数

    Family
    属数
    Number of
    genus
    种数
    Number of
    species
    占总种数比例
    Percentage of
    total species (%)

    Genus
    种数
    Number of
    species
    占总种数比例
    Percentage of total
    species (%)
    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
    红菇属 Russula 17 8.13
    栓菌属 Trametes 5 2.39
    关闭全屏