{"title":"几何代数中Huzita的基本折纸折叠","authors":"T. Ida","doi":"10.1109/SYNASC.2014.9","DOIUrl":null,"url":null,"abstract":"This short note describes the first step of the application of the geometric algebra (GA) to the computational origami system called Eos. Main results are the formalization of GA in Isabelle/HOL and the re-statement of Huzita's basic fold operations in equalities in GA. By solving the equalities we can obtain the fold line (s) that are used in each step of origami construction.","PeriodicalId":150575,"journal":{"name":"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Huzita's Basic Origami Fold in Geometric Algebra\",\"authors\":\"T. Ida\",\"doi\":\"10.1109/SYNASC.2014.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This short note describes the first step of the application of the geometric algebra (GA) to the computational origami system called Eos. Main results are the formalization of GA in Isabelle/HOL and the re-statement of Huzita's basic fold operations in equalities in GA. By solving the equalities we can obtain the fold line (s) that are used in each step of origami construction.\",\"PeriodicalId\":150575,\"journal\":{\"name\":\"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC.2014.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC.2014.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This short note describes the first step of the application of the geometric algebra (GA) to the computational origami system called Eos. Main results are the formalization of GA in Isabelle/HOL and the re-statement of Huzita's basic fold operations in equalities in GA. By solving the equalities we can obtain the fold line (s) that are used in each step of origami construction.
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