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Journal of Mathematics and the Arts最新文献

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Sequence knitting 序列针织
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2199375
S. Jensen
{"title":"Sequence knitting","authors":"S. Jensen","doi":"10.1080/17513472.2023.2199375","DOIUrl":"https://doi.org/10.1080/17513472.2023.2199375","url":null,"abstract":"Sequence knitting comes from a straightforward directive; determine a short basic sequence of stitches and create a piece by continuous repetition of that sequence. This paper determines the number of sequence knitting patterns. We restrict our attention to sequences containing only knit and purl stitches and to flat knitting. We further assume that a sequence is restarted at the beginning of each row of knitting, but we do not assume that the number of stitches cast on is a multiple of the sequence length. We consider the case that a pattern and its left/right mirror image are the same, and the case that a pattern and its left/right mirror image are not necessarily the same. 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":"81796171","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
Monsters in the hollow: counting Naiki braid patterns using de Bruijn's Monster theorem 空心中的怪物:用德布鲁因的怪物定理计算奈基编织图案
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-04-03 DOI: 10.1080/17513472.2023.2202946
Joshua Holden
{"title":"Monsters in the hollow: counting Naiki braid patterns using de Bruijn's Monster theorem","authors":"Joshua Holden","doi":"10.1080/17513472.2023.2202946","DOIUrl":"https://doi.org/10.1080/17513472.2023.2202946","url":null,"abstract":"ABSTRACT The Japanese braids known as Naiki, which are distinguished by their hollow interior, have a simple structure shared by many other fiber arts and crafts. The way in which this structure forms a cylindrical braid imposes a particular set of symmetries on the final product. This paper uses enumerative combinatorics, including de Bruijn's Monster Theorem, to count the number of two-color Naiki braids under equivalence by this natural set of symmetries. 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":"83843230","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
Knitted origami 针织折纸
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-30 DOI: 10.1080/17513472.2023.2191572
Elizabeth L. Wilmer
{"title":"Knitted origami","authors":"Elizabeth L. Wilmer","doi":"10.1080/17513472.2023.2191572","DOIUrl":"https://doi.org/10.1080/17513472.2023.2191572","url":null,"abstract":"Techniques are presented for embedding horizontal, vertical, and diagonal crease lines into garter stitch knitted fabric. While these are mostly based on standard lace knitting stitches, the horizontal creases use double-cable-crossed elongated stitches in a non-standard way. This crease library suffices to knit a model of a square twist, a foundational origami tessellation unit. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78862964","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
Orbifold jacket Orbifold夹克
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-24 DOI: 10.1080/17513472.2023.2189389
S. Gould
{"title":"Orbifold jacket","authors":"S. Gould","doi":"10.1080/17513472.2023.2189389","DOIUrl":"https://doi.org/10.1080/17513472.2023.2189389","url":null,"abstract":"The author discusses orbifold signatures for the 17 wallpaper patterns. Fabric is created using each of the wallpaper patterns and sewn into a fashion show kimono. The resulting reversible wallpaper jacket has orbifold signatures on each of the patterns and 10 samples of folded orbifolds as embellishments. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75326520","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
Beauty in chaos: the hidden art and sacred geometric designs of trajectories in multi-body gravitational systems 混沌中的美:多体引力系统中轨迹的隐藏艺术和神圣几何设计
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-16 DOI: 10.1080/17513472.2023.2187571
Robert A. Bettinger, Adam P. Wilmer, Liberty M. Shockley, Nathan R. Boone
{"title":"Beauty in chaos: the hidden art and sacred geometric designs of trajectories in multi-body gravitational systems","authors":"Robert A. Bettinger, Adam P. Wilmer, Liberty M. Shockley, Nathan R. Boone","doi":"10.1080/17513472.2023.2187571","DOIUrl":"https://doi.org/10.1080/17513472.2023.2187571","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77318193","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
Scalable Hridaya kolam and Aishwarya kolam
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-10 DOI: 10.1080/17513472.2023.2185055
R. Srinivasan
{"title":"Scalable Hridaya kolam and Aishwarya kolam","authors":"R. Srinivasan","doi":"10.1080/17513472.2023.2185055","DOIUrl":"https://doi.org/10.1080/17513472.2023.2185055","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85703453","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
From circle packings to constellation patterns 从圆形包装到星座模式
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-10 DOI: 10.1080/17513472.2023.2183310
P. Cromwell
{"title":"From circle packings to constellation patterns","authors":"P. Cromwell","doi":"10.1080/17513472.2023.2183310","DOIUrl":"https://doi.org/10.1080/17513472.2023.2183310","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79699769","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: 2
Randomly generated lyrics using mixture models: the poem that Frank Sinatra never sang 使用混合模型随机生成歌词:弗兰克·辛纳屈(Frank Sinatra)从未唱过的诗
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-10 DOI: 10.1080/17513472.2023.2186727
F. Balabdaoui, Yulia Kulagina
{"title":"Randomly generated lyrics using mixture models: the poem that Frank Sinatra never sang","authors":"F. Balabdaoui, Yulia Kulagina","doi":"10.1080/17513472.2023.2186727","DOIUrl":"https://doi.org/10.1080/17513472.2023.2186727","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78810650","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
Visually pleasing knot projections 赏心悦目的打结投影
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-03-08 DOI: 10.1080/17513472.2023.2185058
R. Hankin
{"title":"Visually pleasing knot projections","authors":"R. Hankin","doi":"10.1080/17513472.2023.2185058","DOIUrl":"https://doi.org/10.1080/17513472.2023.2185058","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73475001","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
Mind the provability gap 注意可证明性的差距
IF 0.2
Journal of Mathematics and the Arts Pub Date : 2023-02-21 DOI: 10.1080/17513472.2023.2175294
J. J. Joaquin
{"title":"Mind the provability gap","authors":"J. J. Joaquin","doi":"10.1080/17513472.2023.2175294","DOIUrl":"https://doi.org/10.1080/17513472.2023.2175294","url":null,"abstract":"","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74873392","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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