Pub Date : 2023-04-03DOI: 10.1080/17513472.2023.2199375
S. Jensen
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
{"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}
Pub Date : 2023-04-03DOI: 10.1080/17513472.2023.2202946
Joshua Holden
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
{"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}
Pub Date : 2023-03-30DOI: 10.1080/17513472.2023.2191572
Elizabeth L. Wilmer
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
{"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}
Pub Date : 2023-03-24DOI: 10.1080/17513472.2023.2189389
S. Gould
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
{"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}
Pub Date : 2023-03-16DOI: 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}
Pub Date : 2023-03-10DOI: 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}
Pub Date : 2023-03-10DOI: 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}
Pub Date : 2023-03-10DOI: 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}
Pub Date : 2023-03-08DOI: 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}
Pub Date : 2023-02-21DOI: 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}
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