{"title":"几何病毒式传播","authors":"Michael McDaniel, Joshua Wierenga","doi":"10.1080/0025570X.2023.2231838","DOIUrl":null,"url":null,"abstract":"Summary We construct the icosahedral sphere in elliptic geometry in order to explore the structure of some viral capsids. We prove that all sides of triangular faces are altitudes of other triangles. We interpret math properties to match biochemical facts, which points to the possibility of using math to predict biochemistry.","PeriodicalId":18344,"journal":{"name":"Mathematics Magazine","volume":"96 1","pages":"416 - 422"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometry Goes Viral\",\"authors\":\"Michael McDaniel, Joshua Wierenga\",\"doi\":\"10.1080/0025570X.2023.2231838\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary We construct the icosahedral sphere in elliptic geometry in order to explore the structure of some viral capsids. We prove that all sides of triangular faces are altitudes of other triangles. We interpret math properties to match biochemical facts, which points to the possibility of using math to predict biochemistry.\",\"PeriodicalId\":18344,\"journal\":{\"name\":\"Mathematics Magazine\",\"volume\":\"96 1\",\"pages\":\"416 - 422\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/0025570X.2023.2231838\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0025570X.2023.2231838","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Summary We construct the icosahedral sphere in elliptic geometry in order to explore the structure of some viral capsids. We prove that all sides of triangular faces are altitudes of other triangles. We interpret math properties to match biochemical facts, which points to the possibility of using math to predict biochemistry.