{"title":"多面体和多面体的对称性","authors":"E. Schulte","doi":"10.1201/9781420035315.ch19","DOIUrl":null,"url":null,"abstract":"regular polytopes are combinatorial structures that generalize the familiar regular polytopes. The terminology adopted is patterned after the classical theory. Many symmetric figures discussed in earlier sections could be treated (and their structure clarified) in this more general framework. Much of the research in this area is quite recent. For a comprehensive account see McMullen and Schulte [McS02].","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Symmetry of Polytopes and Polyhedra\",\"authors\":\"E. Schulte\",\"doi\":\"10.1201/9781420035315.ch19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"regular polytopes are combinatorial structures that generalize the familiar regular polytopes. The terminology adopted is patterned after the classical theory. Many symmetric figures discussed in earlier sections could be treated (and their structure clarified) in this more general framework. Much of the research in this area is quite recent. For a comprehensive account see McMullen and Schulte [McS02].\",\"PeriodicalId\":156768,\"journal\":{\"name\":\"Handbook of Discrete and Computational Geometry, 2nd Ed.\",\"volume\":\"117 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Handbook of Discrete and Computational Geometry, 2nd Ed.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781420035315.ch19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Handbook of Discrete and Computational Geometry, 2nd Ed.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781420035315.ch19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
摘要
正多面体是将我们所熟悉的正多面体泛化而成的组合结构。所采用的术语是以经典理论为蓝本的。在前面章节中讨论的许多对称图形可以在这个更一般的框架中处理(并澄清它们的结构)。这一领域的许多研究都是最近才进行的。有关全面的说明,见McMullen and Schulte [McS02]。
regular polytopes are combinatorial structures that generalize the familiar regular polytopes. The terminology adopted is patterned after the classical theory. Many symmetric figures discussed in earlier sections could be treated (and their structure clarified) in this more general framework. Much of the research in this area is quite recent. For a comprehensive account see McMullen and Schulte [McS02].