{"title":"Dalibraic topology","authors":"Jordan Schettler","doi":"10.1080/17513472.2021.1940468","DOIUrl":null,"url":null,"abstract":"One of my homework problems as a graduate student included the task of finding all the path-connected covers of a certain topological space X. During a lecture by Thomas Banchoff, my friend and I discovered that the universal cover of our space X was front and centre in a painting by Salvador Dalí! The painting, ‘Crucifixion (Corpus Hypercubus)’, features a 4D object unfolded in 3D. This inspired me to create my own mathematical artwork. Using ideas from catastrophe theory, I turned Dalí's last painting into a truly 4D object which provides a new and beautiful interpretation of that artwork. The new interpretation reveals hidden rotational/reflectional symmetries and highlights the implied 3- and 4-dimensional worlds that the painted curves naturally live in. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":"96 1","pages":"137 - 149"},"PeriodicalIF":0.3000,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and the Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17513472.2021.1940468","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
One of my homework problems as a graduate student included the task of finding all the path-connected covers of a certain topological space X. During a lecture by Thomas Banchoff, my friend and I discovered that the universal cover of our space X was front and centre in a painting by Salvador Dalí! The painting, ‘Crucifixion (Corpus Hypercubus)’, features a 4D object unfolded in 3D. This inspired me to create my own mathematical artwork. Using ideas from catastrophe theory, I turned Dalí's last painting into a truly 4D object which provides a new and beautiful interpretation of that artwork. The new interpretation reveals hidden rotational/reflectional symmetries and highlights the implied 3- and 4-dimensional worlds that the painted curves naturally live in. GRAPHICAL ABSTRACT
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
