{"title":"Voronoi l型和超度量","authors":"M. Deza","doi":"10.1109/ISVD.2007.47","DOIUrl":null,"url":null,"abstract":"It is a survey/research lecture, on Voronoi and Delaunay polytopes of lattices in relation, especially, to the following problems: 1) Voronoi L-type domains and non-rigidity degree of lattices, 2) Hypermetric cone and non-rigidity degree of Delaunay polytopes, 3) Voronoi conjecture for tilings.","PeriodicalId":148710,"journal":{"name":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Voronoi L-types and hypermetrics\",\"authors\":\"M. Deza\",\"doi\":\"10.1109/ISVD.2007.47\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is a survey/research lecture, on Voronoi and Delaunay polytopes of lattices in relation, especially, to the following problems: 1) Voronoi L-type domains and non-rigidity degree of lattices, 2) Hypermetric cone and non-rigidity degree of Delaunay polytopes, 3) Voronoi conjecture for tilings.\",\"PeriodicalId\":148710,\"journal\":{\"name\":\"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISVD.2007.47\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISVD.2007.47","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It is a survey/research lecture, on Voronoi and Delaunay polytopes of lattices in relation, especially, to the following problems: 1) Voronoi L-type domains and non-rigidity degree of lattices, 2) Hypermetric cone and non-rigidity degree of Delaunay polytopes, 3) Voronoi conjecture for tilings.