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Journal of Mathematics and the Arts最新文献

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Representing Catalan solids in temari 用泰马里语表示加泰罗尼亚固体
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-10-02 DOI: 10.1080/17513472.2022.2145585
C. Yackel
{"title":"Representing Catalan solids in temari","authors":"C. Yackel","doi":"10.1080/17513472.2022.2145585","DOIUrl":"https://doi.org/10.1080/17513472.2022.2145585","url":null,"abstract":"ABSTRACT All thirteen Catalan solids can be depicted in spherical form via the medium of temari. Eleven of these are obtained by combining Schwartz triangles arising from standard sets of temari guidelines, while the other two correspond to the enantiamorphic Catalans. Examining the thirteen temari in this paper illuminates the symmetries in the Catalan solids. Alternatively, considering the symmetry groups of the solids and their combinatorial properties gives information relevant to their stitching. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86906138","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
Artwork based on automatic sequences 基于自动序列的艺术品
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-10-02 DOI: 10.1080/17513472.2022.2146571
J. M. Campbell
{"title":"Artwork based on automatic sequences","authors":"J. M. Campbell","doi":"10.1080/17513472.2022.2146571","DOIUrl":"https://doi.org/10.1080/17513472.2022.2146571","url":null,"abstract":"ABSTRACT We pursue an exploration into the interdisciplinarity given by amalgamations of the study of mathematical artwork and the study of automatic sequences. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75981893","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
Atlanta: mathematics and music 亚特兰大:数学和音乐
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-10-02 DOI: 10.1080/17513472.2022.2137890
Maria Mannone, M. Montiel
{"title":"Atlanta: mathematics and music","authors":"Maria Mannone, M. Montiel","doi":"10.1080/17513472.2022.2137890","DOIUrl":"https://doi.org/10.1080/17513472.2022.2137890","url":null,"abstract":"ABSTRACT In this review, we summarize the key topics discussed at the Mathematics and Computation in Music (MCM) conference held in Atlanta from June 21–24, 2022. MCM is the flagship conference of the Society for Mathematics and Computation in Music. The subjects of the presentations included combinatorics and graph theory in scales and rhythm, categorical and algebraic approaches to music, algorithms and modelling for music and music-related phenomena, among many others that will be described. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73763740","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
Optimal construction of montages from mathematical functions on a spectrum of order–disorder preference 基于有序-无序偏好谱的数学函数的蒙太奇最优构造
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-10-02 DOI: 10.1080/17513472.2022.2139663
K. Smith‐Miles, Mario Andrés Muñoz
{"title":"Optimal construction of montages from mathematical functions on a spectrum of order–disorder preference","authors":"K. Smith‐Miles, Mario Andrés Muñoz","doi":"10.1080/17513472.2022.2139663","DOIUrl":"https://doi.org/10.1080/17513472.2022.2139663","url":null,"abstract":"ABSTRACT We previously generated diverse mathematical functions that are difficult for optimization algorithms. Represented as 2D contour plots, each image depicts a ‘blue river’ running through an intricate landscape. This paper describes the challenge of constructing an aesthetic montage of these images. A survey revealed a spectrum of tastes, divergent in preference from order to disorder, considering the structure created by connecting these ‘blue rivers’. A new artwork, Negentropy Triptych, was created to depict this spectrum by manually swapping images from a random arrangement, guided by human eye to enhance or destroy the structure. An optimization algorithm automates the process, with the results of its efforts to emulate the artistic vision presented and discussed. The challenges faced by the algorithm, despite exploring several objective functions, highlight the difficulties of capturing the goals that a human decision-maker can easily achieve. Therefore, machine learning of these goals is a promising future direction. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85024372","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 mathematical investigation of Sol LeWitt's Wall Drawing 413 索尔·勒维特壁画的数学研究
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-09-29 DOI: 10.1080/17513472.2022.2124590
L. Ahlstrom
{"title":"A mathematical investigation of Sol LeWitt's Wall Drawing 413","authors":"L. Ahlstrom","doi":"10.1080/17513472.2022.2124590","DOIUrl":"https://doi.org/10.1080/17513472.2022.2124590","url":null,"abstract":"ABSTRACT This exploration will examine the presence of algebraic and topological structures in the conceptual artist Sol LeWitt's large-scale panel called Wall Drawing 413. The algebraic structures will focus on group theory found in the permutations of the four colors used and a topological investigation that will classify some of the compact 2-dimensional surfaces that can be constructed from gluing edges of matching colors of one square in the artwork. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73796559","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 role of the ‘silver ratio’ in the geometry of Castel del Monte “银比”在蒙特城堡几何中的作用
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-09-26 DOI: 10.1080/17513472.2022.2124475
Anna Castellano, G. Demelio
{"title":"The role of the ‘silver ratio’ in the geometry of Castel del Monte","authors":"Anna Castellano, G. Demelio","doi":"10.1080/17513472.2022.2124475","DOIUrl":"https://doi.org/10.1080/17513472.2022.2124475","url":null,"abstract":"ABSTRACT The aim of this work is the study the Castel del Monte plan by means of geometrical relationships based on the golden ratio and silver ratio. Particularly, we emphasized the aspects of the silver ratio. There are some observations regarding that certain octagonal plans of historical buildings hypothetically influenced Frederick II in the choice of octagonal geometry for the plan of the castle. From this point of view, we moved to the discussion of the golden ratio and the silver ratio, and to the application of the two metallic ratios in the analysis of the Frederician castle geometry. Moreover, the construction of the castle’s ideal plan is proposed in which only the silver ratio has been used. In this case, the geometric proportions between the parts remain harmonious and some slight differences in the castle plan, which is based on the golden ratio and silver ratio, are removed. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89891415","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
Mathematical specification of hitomezashi designs hitomezashi设计的数学规范
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-08-01 DOI: 10.1080/17513472.2023.2187999
K. Seaton, Carol Hayes
{"title":"Mathematical specification of hitomezashi designs","authors":"K. Seaton, Carol Hayes","doi":"10.1080/17513472.2023.2187999","DOIUrl":"https://doi.org/10.1080/17513472.2023.2187999","url":null,"abstract":"Two mathematical aspects of the centuries-old Japanese sashiko stitching form hitomezashi are discussed: the encoding of designs using words from a binary alphabet, and duality. Traditional hitomezashi designs are analysed using these two ideas. Self-dual hitomezashi designs related to Fibonacci snowflakes, which we term Pell persimmon polyomino patterns, are proposed. Both these designs and the binary words used to generate them appear to be new to their respective literatures. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88954120","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: 3
Quadrilateral tilings for the construction of renzuru origami 四边形瓦片的结构人zuru折纸
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-07-03 DOI: 10.1080/17513472.2022.2115797
T. Yoshino
{"title":"Quadrilateral tilings for the construction of renzuru origami","authors":"T. Yoshino","doi":"10.1080/17513472.2022.2115797","DOIUrl":"https://doi.org/10.1080/17513472.2022.2115797","url":null,"abstract":"Variations of quadrilateral tilings on a plane can be used to construct conjoined origami cranes known as renzuru. Most variations of renzuru are based on the tiling of squares; however, the squares can be modified into certain other quadrilaterals with inscribed circles. In this paper, I examine three types of tilings that enable the folding of renzuru. The first type consists of periodic tilings with congruent quadrilaterals. The results show that there are ten different tilings of congruent quadrilaterals: eight tilings consisting of vertices of degree four and two tilings consisting of vertices of degree three and six. The second and third types are spiral tilings, the second being formed by congruent quadrilaterals and the third consisting of similar quadrilaterals. The second type is tiled with rhombic quadrilaterals. The third type is constructed with lines which divide the infinite plane both equally and radially and a logarithmic spiral curve. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76609446","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
Finite self-similar sequences, permutation cycles, and music composition 有限自相似序列，排列循环和音乐组成
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-07-03 DOI: 10.1080/17513472.2022.2116745
Christopher Adler, J. Allouche
{"title":"Finite self-similar sequences, permutation cycles, and music composition","authors":"Christopher Adler, J. Allouche","doi":"10.1080/17513472.2022.2116745","DOIUrl":"https://doi.org/10.1080/17513472.2022.2116745","url":null,"abstract":"We partly decipher a family of finite integer sequences used in a musical composition of the first author, by showing in particular that they relate to arithmetic classical problems (counting cycles in a permutation, primitive roots modulo a prime number, Wieferich primes, etc.), and also to the art of shuffling cards and to the art of juggling. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90104276","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
Benefits of online meetings for the MathArt community: experiences from two events MathArt社区在线会议的好处:来自两个事件的经验
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2022-05-30 DOI: 10.1080/17513472.2022.2079941
Martin Skrodzki, Milena Damrau
{"title":"Benefits of online meetings for the MathArt community: experiences from two events","authors":"Martin Skrodzki, Milena Damrau","doi":"10.1080/17513472.2022.2079941","DOIUrl":"https://doi.org/10.1080/17513472.2022.2079941","url":null,"abstract":"Recent years saw a rapid increase in conference formats that take place either fully online or in a hybrid fashion with some people on-site and others online. While these formats brought new challenges, they also opened up new opportunities. In the present article, we first outline advantages and disadvantages of different conference formats as discussed in the literature. We then share our own experiences based on two mathematics and art events that occurred during the respective annual meetings of the German Mathematical Society in 2020 and 2021. This is to illustrate the main benefits of online formats, in particular for the MathArt community. We conclude by highlighting two specific aspects – the facilitated presentation of large artworks and the availability of talk recordings – and give a brief outlook on hybrid events.","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74203099","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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