{"title":"用 Cayley 图揭示有限群的隐秘之美","authors":"Matthew Macauley","doi":"arxiv-2402.19438","DOIUrl":null,"url":null,"abstract":"Group theory involves the study of symmetry, and its inherent beauty gives it\nthe potential to be one of the most accessible and enjoyable areas of\nmathematics, for students and non-mathematicians alike. Unfortunately, many\nstudents never get a glimpse into the more alluring parts of this field because\n\"traditional\" algebra classes are often taught in a dry axiomatic fashion,\ndevoid of visuals. This article will showcase aesthetic pictures that can bring\nthis subject to life. It will also leave the reader with some (intentionally)\nunanswered puzzles that undergraduate students, hobbyists, and mathematical\nartists can explore and answer, and even create new versions themselves.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"80 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Revealing the hidden beauty of finite groups with Cayley graphs\",\"authors\":\"Matthew Macauley\",\"doi\":\"arxiv-2402.19438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Group theory involves the study of symmetry, and its inherent beauty gives it\\nthe potential to be one of the most accessible and enjoyable areas of\\nmathematics, for students and non-mathematicians alike. Unfortunately, many\\nstudents never get a glimpse into the more alluring parts of this field because\\n\\\"traditional\\\" algebra classes are often taught in a dry axiomatic fashion,\\ndevoid of visuals. This article will showcase aesthetic pictures that can bring\\nthis subject to life. It will also leave the reader with some (intentionally)\\nunanswered puzzles that undergraduate students, hobbyists, and mathematical\\nartists can explore and answer, and even create new versions themselves.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"80 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2402.19438\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.19438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Revealing the hidden beauty of finite groups with Cayley graphs
Group theory involves the study of symmetry, and its inherent beauty gives it
the potential to be one of the most accessible and enjoyable areas of
mathematics, for students and non-mathematicians alike. Unfortunately, many
students never get a glimpse into the more alluring parts of this field because
"traditional" algebra classes are often taught in a dry axiomatic fashion,
devoid of visuals. This article will showcase aesthetic pictures that can bring
this subject to life. It will also leave the reader with some (intentionally)
unanswered puzzles that undergraduate students, hobbyists, and mathematical
artists can explore and answer, and even create new versions themselves.
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