Journal of Mathematics and the Arts最新文献

{"title":"Expanding a classroom to an interactive learning ecosystem. A cookbook based on the ingredients: creativity, collaboration, space, and time serving two Grade 7 classes","authors":"Brigitta Békési, Eva Ulbrich, T. Houghton, Zsolt Lavicza","doi":"10.1080/17513472.2024.2368991","DOIUrl":"https://doi.org/10.1080/17513472.2024.2368991","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141659970","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}

{"title":"Visualizations and pictures for the visually impaired and its connection to STEM education","authors":"Eva Ulbrich, B. Anđić, Barbara Lichtenegger, Martin Ulbrich, Zsolt Lavicza","doi":"10.1080/17513472.2024.2365086","DOIUrl":"https://doi.org/10.1080/17513472.2024.2365086","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141666293","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}

{"title":"The rhizomic tiles at Shooter’s Hill: an application of Truchet tiles","authors":"Eva Knoll, Karyn McLellan, Danielle Cox","doi":"10.1080/17513472.2024.2326700","DOIUrl":"https://doi.org/10.1080/17513472.2024.2326700","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140366209","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}

{"title":"A threading path to a Ramsey number","authors":"Nora Blanck, Veselin Jungić","doi":"10.1080/17513472.2024.2321562","DOIUrl":"https://doi.org/10.1080/17513472.2024.2321562","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140248225","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}

{"title":"Joining the Math Circus: exploring advanced mathematics through collaborative hands-on activities and performative storytelling","authors":"Ásgerður Harriss Jóhannesdóttir, Rannveig Björk Thorkelsdóttir, B. Gísladóttir","doi":"10.1080/17513472.2024.2321564","DOIUrl":"https://doi.org/10.1080/17513472.2024.2321564","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140250032","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}

{"title":"STEAM practices connecting mathematics, arts, architecture, culture and history in a non-formal learning environment of a museum","authors":"Shereen El Bedewy, Z. Lavicza, I. Lyublinskaya","doi":"10.1080/17513472.2024.2321563","DOIUrl":"https://doi.org/10.1080/17513472.2024.2321563","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140251620","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}

{"title":"Students’ cross-sectioning in the math-art studio","authors":"M. Kuş","doi":"10.1080/17513472.2024.2321565","DOIUrl":"https://doi.org/10.1080/17513472.2024.2321565","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140417157","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}

{"title":"Art in sacred geometry: a new perspective for multidisciplinary STEAM education","authors":"Kishore Dutta","doi":"10.1080/17513472.2023.2299663","DOIUrl":"https://doi.org/10.1080/17513472.2023.2299663","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139612007","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}

{"title":"Spectral geometry and Riemannian manifold mesh approximations: some autocorrelation lessons from spatial statistics","authors":"Daniel A. Griffith","doi":"10.1080/17513472.2023.2275489","DOIUrl":"https://doi.org/10.1080/17513472.2023.2275489","url":null,"abstract":"AbstractA spectral geometry utility awareness, with specific reference to isospectralisation and art painting analytics, is permeating the academy today, with special interest in its ability to foster interfaces between a range of analytical quantitative disciplines and art, exhibiting popularity in, for example, computer engineering/image processing and GIScience/spatial statistics, among other subject areas. This paper contributes to the emerging literature about such mathematized interdisciplinarities and synergies. It more specifically extends the matrix algebra based 2-D Graph Moranian operator that dominates spatial statistics/econometrics to the 3-D Riemannian manifold sphere whose analysis the general Graph Laplacian (i.e. Laplace-Beltrami) operator monopolizes today. One conclusion is that harmonizing the use of these two operators offers a way to expand knowledge and comprehension. Another is a continuing demonstration that the understanding and analysis of art sculptures dovetails with mathematics-art studies.KEYWORDS: Geary ratioMoran coefficientRiemannian manifoldspatial autocorrelationspectral geometry AcknowledgementsDaniel A. Griffith is an Ashbel Smith Professor of Geospatial Information Sciences.Disclosure statementNo potential conflict of interest was reported by the author(s).Statements and declarationsThe author did not receive support from any organization for this work. The author further certifies that he has no affiliations with or involvement in any organization or entity with any financial or non-financial interest in the subject matter or materials discussed in this paper. Finally, the datasets generated and/or analyzed during the study summarized in this paper are available from the corresponding author by reasonable request; a number of the source datasets also are retrievable from online depositories cited in this paper.Notes1 The spatial statistics/econometrics literature notation almost universally symbolizes this matrix with C, and its row-standardized Laplacian companion with W.2 The Laplace-Beltrami operator based upon an unbounded equilateral triangle mesh essentially is a scalar multiple of this Laplacian matrix (Xu, Citation2004; Wu et al., Citation2010).3 They disagree about the spatial autocorrelation portrayal of numerous regular square tessellation eigenvectors, based upon either a rook or a queen definition of adjacency, both of which extract exactly the same eigenvectors.4 See https://github.com/alecjacobson/common-3d-test-models, https://github.com/MPI-IS/mesh/blob/master/data/unittest/sphere.obj, https://cims.nyu.edu/gcl/datasets.html, https://www.cs.cornell.edu/courses/cs4620/2015fa/assignments/a1/a1mesh.html, https://people.sc.fsu.edu/~jburkardt/data/obj/obj.html, http://graphics.stanford.edu/data/3Dscanrep/, https://www.cs.cmu.edu/~kmcrane/Projects/ModelRepository/, https://github.com/yig/graphics101-meshes/tree/master/examples, and https://archive.lib.msu.edu/crcmath/math/math/t/t200.htm.5 Many d","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135270769","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}

{"title":"Plato’s Timaeus and optimal pentatonic scales","authors":"Payam Seraji","doi":"10.1080/17513472.2023.2272328","DOIUrl":"https://doi.org/10.1080/17513472.2023.2272328","url":null,"abstract":"AbstractAfter a short review of Pythagorean theory of harmonic ratios and musical scales as it is described in Plato’s Timaeus treatise, the concept of ‘optimality of a sequence of (real) numbers with respect to Pythagorean ratios’ is defined and main theorem of this article proves that there are only three optimal sequences of length 6, which correspond to three well-known pentatonic scales which are used in many musical traditions (including Chinese, Japanese and others). It is also noted that a definition similar to our optimal scales has appeared in a treatise by Sadi-al-Din Urmavi, a thirteenth century Iranian musicologist.KEYWORDS: Optimal scalePythagorean ratiosTimaeusPentatonic scaleSafi-al-Din al-Urmavi Disclosure statementNo potential conflict of interest was reported by the author(s).Notes1 It may be thought that optimal scales can be constructed by simply choosing first notes in the circle of fifths but it is not the case: the first seven notes in the circle of fifths are Do, Sol, Re, La, Mi, Si, Fa# and it can be easily checked that the corresponding scale is not optimal.","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136234891","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}