{"title":"给出了前两个正则四维多面体(四维单纯形和超立方体)的展开方法。","authors":"A. A. Ramírez, R. Aguila","doi":"10.1109/CW.2002.1180911","DOIUrl":null,"url":null,"abstract":"This article presents methods for unraveling the hypercube and the 4D simplex and obtaining the unravelings that corresponds to the hyper-flattening of their boundaries. These regular polytopes can be raveled back using the methods in an inverse way. The transformations to apply include rotations around a plane (characteristic of the 4D space). All these processes can be viewed using a computer animation system.","PeriodicalId":376322,"journal":{"name":"First International Symposium on Cyber Worlds, 2002. Proceedings.","volume":"303 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Presenting methods for unraveling the first two regular 4D polytopes (4D simplex and the hypercube)\",\"authors\":\"A. A. Ramírez, R. Aguila\",\"doi\":\"10.1109/CW.2002.1180911\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article presents methods for unraveling the hypercube and the 4D simplex and obtaining the unravelings that corresponds to the hyper-flattening of their boundaries. These regular polytopes can be raveled back using the methods in an inverse way. The transformations to apply include rotations around a plane (characteristic of the 4D space). All these processes can be viewed using a computer animation system.\",\"PeriodicalId\":376322,\"journal\":{\"name\":\"First International Symposium on Cyber Worlds, 2002. Proceedings.\",\"volume\":\"303 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"First International Symposium on Cyber Worlds, 2002. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CW.2002.1180911\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"First International Symposium on Cyber Worlds, 2002. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CW.2002.1180911","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Presenting methods for unraveling the first two regular 4D polytopes (4D simplex and the hypercube)
This article presents methods for unraveling the hypercube and the 4D simplex and obtaining the unravelings that corresponds to the hyper-flattening of their boundaries. These regular polytopes can be raveled back using the methods in an inverse way. The transformations to apply include rotations around a plane (characteristic of the 4D space). All these processes can be viewed using a computer animation system.