Journal of Mathematics and the Arts

Jiangmei Wu

The artistry and algorithms in fabric origami tessellations

织物折纸镶嵌中的艺术与算法

Pulli kolam is an ancient mathematical art form that is still practiced today in south India by over a quarter million people. 'Pulli' in the Tamizh language means 'dots'. A specific type of pulli kolam is sikku kolam where a series of dots are placed using rice flour and lines are drawn around them following three simple rules. Here we focus on sikku kolams assembled from square tiles. Kolams are classified by their point group symmetry and formulae are derived for counting the number of kolams of each symmetry type. Some interesting constraint problems are posed that could help formulate new games based on this elegant art form.

Venkatraman Gopalan

Symmetry classification and enumeration of square-tile sikku kolams

方形瓷砖锡克库拉姆的对称分类与枚举

Carol Bier

Islamic architecture: a world history

伊斯兰建筑：世界历史

Various computer simulations regarding, e.g. the weather or structural mechanics, solve complex problems on a two-dimensional domain. They mostly do so by splitting the input domain into a finite set of smaller and simpler elements on which the simulation can be run fast and efficiently. This process of splitting can be automatized by using subdivision schemes. Given the wide range of simulation problems to be tackled, an equally wide range of subdivision schemes is available. This paper illustrates a subdivision scheme that splits the input domain into pentagons. Repeated application gives rise to fractal-like structures. Furthermore, the resulting subdivided domain admits to certain weaving patterns. These patterns are subsequently generalized to several other subdivision schemes. As a final contribution, we provide paper models illustrating the weaving patterns induced by the pentagonal subdivision scheme. Furthermore, we present a jigsaw puzzle illustrating both the subdivision process and the induced weaving pattern. These transform the visual and abstract mathematical algorithms into tactile objects that offer exploration possibilities aside from the visual.

Henriette Lipschütz

Ulrich Reitebuch

Martin Skrodzki

Konrad Polthier

Weaving patterns inspired by the pentagon snub subdivision scheme

受五边形截角细分方案启发的编织图案

Although projective geometry is an elegant and enlightening domain of spatial thinking and doing, it remains largely unknown to the general audience. This shortcoming can be mended with the aid of figures consisting of points, lines, and planes, that illustrate various projective phenomena. In practice, these configurations can be assembled physically from sticks tied together at their crossings. As an example, I discuss a set of five configurations and some of the projective topics connected to them. The activity of building the stick models offers an instructive, simple, and sculpturally engaging approach to projective geometry.

Taneli Luotoniemi

Stick models of projective configurations

投影构型的杆模型

Sebastian Schorcht

Lukas Baumanns

Nils Buchholtz

Judith Huget

Franziska Peters

Maximilian Pohl

The tasty world of irrational numbers – explorative mathematical visualizations generated by AI image models

非理性数的美味世界——由AI图像模型生成的探索性数学可视化

Biologists use mathematical models as part of their research regularly. However, in schools, biology lessons rarely use mathematics, even if using it benefits understanding the biological content. Aiming for this integration, we designed an interdisciplinary educational comic with biological and mathematical content, where the chosen theme from biology was natural selection. This paper outlines the educational comic content and the principles used for the development based on the story, visual and content aspects. In addition, it focuses on how the content of natural selection is combined with the mathematical content in a way that we call a symbiotic approach.

短名	J. Math. Arts
Journal Impact	0.28
国际分区	MATHEMATICS, INTERDISCIPLINARY APPLICATIONS(Q4)

ISSN	1751-3472, 1751-3480
h-index	12

涉及主题	数学计算机科学艺术几何学工程类历史视觉艺术地理哲学考古物理组合数学艺术史
出版信息	出版商: Taylor and Francis Ltd.，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 2007，原创研究文献占比: 100.00%，自引率:66.70%， Gold OA占比: 19.30%

Journal of Mathematics and the Arts

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The artistry and algorithms in fabric origami tessellations

Symmetry classification and enumeration of square-tile sikku kolams

Islamic architecture: a world history

Weaving patterns inspired by the pentagon snub subdivision scheme

Stick models of projective configurations

Symmetry classification and enumeration of square-tile sikku kolams

The artistry and algorithms in fabric origami tessellations

Islamic architecture: a world history

The tasty world of irrational numbers – explorative mathematical visualizations generated by AI image models

Combining biology and mathematics in educational comics to explain evolution