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Journal of Mathematics and the Arts最新文献

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Gauge symmetries of musical and visual forces 音乐和视觉力量的量规对称性
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-10-02 DOI: 10.1080/17513472.2023.2281895
Peter beim Graben
{"title":"Gauge symmetries of musical and visual forces","authors":"Peter beim Graben","doi":"10.1080/17513472.2023.2281895","DOIUrl":"https://doi.org/10.1080/17513472.2023.2281895","url":null,"abstract":"After reviewing the physicalistic or metaphorical accounts to musical and visual forces by Arnheim and Larson, respectively, which were inspired by the basic tenets of gestalt psychology, I present a novel, naturalistic, mathematical framework, based on symmetry principles and gauge theory. In musicology, this approach has already been applied to the phenomenon of tonal attraction, leading to a deformation of the circle of fifths. The underlying gauge symmetry turns out as the SO(2) Lie group of a musical quantum model. Here, I present an alternative description in terms of Riemannian geometry. Its essential constraint of invariance of the infinitesimal line element leads to a deformation of the circle of fifths into a heart of fifths. In vision, the same approach is applied to Fraser's twisted cord illusion where concentric circles are deformed to squircle objects by means of an optical gauge field induced through a checkerboard background. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139324860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The mathematics of Almada Negreiros Almada Negreiros的数学
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-08-04 DOI: 10.1080/17513472.2023.2236005
Pedro Freitas
{"title":"The mathematics of Almada Negreiros","authors":"Pedro Freitas","doi":"10.1080/17513472.2023.2236005","DOIUrl":"https://doi.org/10.1080/17513472.2023.2236005","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72404677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Derived from the traditional principles of Islamic geometry, a methodology for generating non-periodic long-range sequences in one-dimension for 8-fold, 10-fold, and 12-fold rotational symmetries 起源于伊斯兰几何的传统原理，一种在一维上产生8倍、10倍和12倍旋转对称的非周期长程序列的方法
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-07-20 DOI: 10.1080/17513472.2023.2233883
R. Ajlouni
{"title":"Derived from the traditional principles of Islamic geometry, a methodology for generating non-periodic long-range sequences in one-dimension for 8-fold, 10-fold, and 12-fold rotational symmetries","authors":"R. Ajlouni","doi":"10.1080/17513472.2023.2233883","DOIUrl":"https://doi.org/10.1080/17513472.2023.2233883","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82695413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A mathematician knits an afghan and counts the number of possible patterns 数学家编织阿富汗织物并计算可能的图案数量
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2197831
Kimberly A. Roth
{"title":"A mathematician knits an afghan and counts the number of possible patterns","authors":"Kimberly A. Roth","doi":"10.1080/17513472.2023.2197831","DOIUrl":"https://doi.org/10.1080/17513472.2023.2197831","url":null,"abstract":"The Hue Shift afghan consists of 100 squares knit with 10 colours in a manner determined by a diagram. How many ways can you knit a Hue Shift afghan? What makes an afghan a Hue Shift is defined. Then the number of different afghans is determined up to symmetry considering colour order, stripe order, and direction of knitting for each square. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75836887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Triply invertible scarf sewing adventures (and instructions) 三倍可逆围巾缝制冒险(和说明)
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2200897
E. Baker, C. Wampler, Daniel R. Baker
{"title":"Triply invertible scarf sewing adventures (and instructions)","authors":"E. Baker, C. Wampler, Daniel R. Baker","doi":"10.1080/17513472.2023.2200897","DOIUrl":"https://doi.org/10.1080/17513472.2023.2200897","url":null,"abstract":"We provide relevant math and detailed sewing instructions for constructing a toroidal scarf that reverses three ways and whose design uses the unique inversion properties of a particular torus geometry and particular 3-component link. We explain how the scarf’s sewing instructions are guided by the mathematics underlying its construction. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76565495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The trinomial triangle knitted shawl 三角针织披肩
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2197832
Berit Nilsen Givens
{"title":"The trinomial triangle knitted shawl","authors":"Berit Nilsen Givens","doi":"10.1080/17513472.2023.2197832","DOIUrl":"https://doi.org/10.1080/17513472.2023.2197832","url":null,"abstract":"We investigate a variation on Pascal's triangle and approximations to Sierpinski's triangle, by considering the coefficients in the trinomial expansion . These trinomial coefficients have many properties similar to those of the binomial coefficients. We illustrate the triangle of numbers with a knitted shawl. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78588445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The cusphere 的cusphere
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2183805
M. Fernandez-Guasti
{"title":"The cusphere","authors":"M. Fernandez-Guasti","doi":"10.1080/17513472.2023.2183805","DOIUrl":"https://doi.org/10.1080/17513472.2023.2183805","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84241922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Categorizing Drunkard's Path type quilting patterns 醉汉路径型绗缝图案的分类
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2197829
Mary D. Shepherd
{"title":"Categorizing Drunkard's Path type quilting patterns","authors":"Mary D. Shepherd","doi":"10.1080/17513472.2023.2197829","DOIUrl":"https://doi.org/10.1080/17513472.2023.2197829","url":null,"abstract":"The Drunkard's Path quilt block is a basic square quilt block consisting of a quarter circle in one corner on a square of some contrasting fabric. In this paper, we use symmetry to organize a library of quilting patterns using the Drunkard's Path quilt block. The organizational strategy begins by arranging the basic quilt blocks into squares that we call arrangements. We categorize these arrangements by symmetry type. We also act upon the arrangements by rotations, reflections, and colour exchanges, using the results to produce squares that we call tiles. These tiles are subsequently considered as tiles for quilt tops, thereby giving fodder for analysis of the underlying wallpaper symmetry groups and sometimes even two-colour symmetry patterns. Over 90 of the tiles are shown representing just a small number of the possible quilt patterns. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87550307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Symmetrical designs with intermeshed crochet 对称设计与交织钩针
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2194479
D. Wildstrom
{"title":"Symmetrical designs with intermeshed crochet","authors":"D. Wildstrom","doi":"10.1080/17513472.2023.2194479","DOIUrl":"https://doi.org/10.1080/17513472.2023.2194479","url":null,"abstract":"Two forms of symmetry which plane patterns can possess are the traditional wallpaper symmetries and the counterchange symmetries enumerated by H.J. Woods. Intermeshed crochet is a technique which may possess not only plane symmetries, but symmetries relating the back of the work to the front of the work. We explore how each of these new symmetries are realizable, in what combinations they can be realized within a single work, and how many ways each symmetry can be realized. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89570969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Introduction to the special issue on mathematics and fibre arts 数学与纤维艺术特刊导论
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2215492
Sarah-marie Belcastro, C. Yackel
{"title":"Introduction to the special issue on mathematics and fibre arts","authors":"Sarah-marie Belcastro, C. Yackel","doi":"10.1080/17513472.2023.2215492","DOIUrl":"https://doi.org/10.1080/17513472.2023.2215492","url":null,"abstract":"We begin by outlining our current understanding of mathematical fibre arts. We then describe the mathematics within this special issue, including the confluence of various ideas. We list the motivating questions that are common to mathematical fibre arts papers and contextualize the papers in this issue within that list. Finally, we describe the trajectory of publications in the field.","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79364826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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