Journal of Mathematics and the Arts (J Math Arts )

Publisher: Taylor & Francis

Description

The Journal of Mathematics and the Arts is a peer reviewed journal that focuses on connections between mathematics and the arts. It publishes articles of interest for readers who are engaged in using mathematics in the creation of works of art, who seek to understand art arising from mathematical or scientific endeavors, or who strive to explore the mathematical implications of artistic works. The term 'art' is intended to include, but not be limited to, two and three dimensional visual art, architecture, drama (stage, screen, or television), prose, poetry, and music. The Journal welcomes mathematics and arts contributions where technology or electronic media serve as a primary means of expression or are integral in the analysis or synthesis of artistic works. The following list, while not exhaustive, indicates a range of topics that fall within the scope of the Journal: Artist's descriptions providing mathematical context, analysis, or insight about their work; The exposition of mathematics intended for interdisciplinary mathematics and arts educators and classroom use; Mathematical techniques and methodologies of interest to practice-based artists; Critical analysis or insight concerning mathematics and art in historical and cultural settings. The Journal also features exhibition reviews, book reviews, and correspondence relevant to mathematics and the arts.

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  • 5-year impact
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  • Website
    Journal of Mathematics and the Arts website
  • Other titles
    Journal of mathematics and the arts
  • ISSN
    1751-3472
  • OCLC
    123754299
  • Material type
    Document, Periodical, Internet resource
  • Document type
    Internet Resource, Computer File, Journal / Magazine / Newspaper

Publisher details

Taylor & Francis

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author cannot archive a post-print version
  • Restrictions
    • 12 month embargo for STM, Behavioural Science and Public Health Journals
    • 18 month embargo for SSH journals
  • Conditions
    • Some individual journals may have policies prohibiting pre-print archiving
    • Pre-print on authors own website, Institutional or Subject Repository
    • Post-print on authors own website, Institutional or Subject Repository
    • Publisher's version/PDF cannot be used
    • On a non-profit server
    • Published source must be acknowledged
    • Must link to publisher version
    • Set statements to accompany deposits (see policy)
    • Publisher will deposit to PMC on behalf of NIH authors.
    • STM: Science, Technology and Medicine
    • SSH: Social Science and Humanities
    • 'Taylor & Francis (Psychology Press)' is an imprint of 'Taylor & Francis'
  • Classification
    ​ yellow

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: Mathematicians and poets alike often repeat the same dictum: the beauty of mathematics resembles that of poetry. In this article, based on a book with the same title, I am inquiring into the question of why is this so. What is the common mechanism in mathematics and poetry that creates beauty in such a similar way? In particular, I will study two common techniques that generate beauty in both poems and mathematics: displacement and unexpected twists. Along the way, I will touch upon the age old question: What is beauty?
    Journal of Mathematics and the Arts 09/2014; 8.
  • Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: Paradox intrigues both mathematicians and artists of all kinds. Throughout the recorded history of human thought, paradox has been a signal that we have to look hard for explanations, whether in natural language or the symbols of math and logic. The particular resonance between math and poetry is related to the fact that paradoxical concepts can translate from one form of expression to another surprisingly well. I examine paradoxes that have intrigued me and present five poems that have been inspired as a result.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: While the history of the scandal between Girolamo Cardano and Niccolò Tartaglia over the publication of Tartaglia's solution to the cubic equation has been often rehearsed, less studied are the biographical, literary and cultural elements that informed the penning of the poem into which Tartaglia wove his solution. This essay offers a reading of Tartaglia's ‘Quando chel cubo’ and discusses the implications of his choice to embed his prized solution into verse. As such, Tartaglia's poem serves as a powerful indicator of how mathematics and poetry have benefitted one another throughout the centuries.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: The Rubáiyát of Omar Khayyám has fascinated readers for centuries, and it has been translated and interpreted many times. In this paper, we will describe a few basic graph theory concepts, and discuss how graph theory can be used to explore the connections between the various quatrains contained in Edward FitzGerald's several translations of the Rubáiyát. We will explain the process of searching for certain complete subgraphs of the full graph of the Rubáiyát, and will briefly discuss how these ideas may be relevant in other areas. These applications include analysing other collections of poetry, teaching certain types of incidence geometry and poetic forms for composing short collections of poetry.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: Mathematical lyrics are song lyrics connected to, or inspired by, mathematics or statistics. This paper explores various types of mathematical lyrics and their roles in mathematics education. In particular, the paper contains many examples of my own lyrics as well as an extensive bibliography of lyrics composed by others. It also provides resources and strategies for creating such lyrics and for using them in an educational setting.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: Motivated by a comment made by mathematician and poet Cai Tianxin, we delved into the history of mathematics in search of creative mathematicians who were also poets. This article is the result of our investigation. It provides a substantial list of mathematicians who wrote poetry, from antiquity to the middle of the twentieth century, along with brief descriptions of their mathematical and poetic accomplishments, and resources for further information. The survey is followed by several examples of poetry written by mathematicians. In the second section of the article, we touch lightly on the similarities and differences between creativity in mathematics and poetry.
    Journal of Mathematics and the Arts 09/2014; 8.
  • Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: This article explores the ways that numeric, mathematical and algorithmic thinking may provide insights into the designs of works of electronic poetry, and may suggest interpretive strategies for understanding such poems. Works of electronic literature bring together algorithmic forms and poetic processes in ways that uniquely highlight the many relationships of poetry to math.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: I comment on the metaphor, beginning with its conventional use in wholly verbal poetry using a sonnet by Keats as an example, and then attempt to demonstrate its vitality when employed in ‘plurexpressive poetry’ (or poetry using more than one ‘language’ besides words, such as visual images or mathematical expressions). I conclude with an emphasis on what it does in and for ‘visiomathematical poems’, which combine words, graphics and mathematics to become ‘triply-expressive’.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: This article looks at analysis of concepts as a search for conditions of intelligibility, where intelligibility is recognized to be a value. Choosing the circle as an exemplary concept, we trace the discovery of a quadratic polynomial equation, the sine and cosine functions, and the nth roots of unity ‘inside’ the circle, as mathematicians discover new conditions of intelligibility for the abstract notion of a circle. Then we trace the uses of circles in poems by Marlowe, Shakespeare and Keats. What we discover ‘inside’ the circle there is of course quite different (a devil, a planet, a sleeping girl), for what the poet seeks are really conditions of the meaningfulness (intelligibility) of human life. The notion of containment and of intelligibility changes as we move from the investigation of mathematical problems to that of problematic human beings. Still, the circle remains as part of experience and part of our best conceptualization of the natural world.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: Mathematics is a creative endeavour, but mathematicians and mathematics instructors often have difficulty convincing others of this fact. In fact, most people who are not already oriented toward mathematics fail to notice that mathematics is a perfect model for what makes an activity human, as it involves the three main ingredients of what makes our species special: cognition, consciousness and creativity. In this note, I share some thoughts on the creative component of mathematics and propose that mathematical poetry is a perfect model and ambassador for a more humanistic understanding of mathematics.
    Journal of Mathematics and the Arts 09/2014; 8.
  • [Show abstract] [Hide abstract]
    ABSTRACT: I present the development of a modular origami design based upon the Pajarita, a figure from the traditional Spanish paper-folding art. The work is a modular cube decorated with Pajaritas with the colour pattern produced by folding of individual units to be topologically identical but with distinct colour patterns on each. The mathematics of the cube-colouring and unit-colouring problems are analysed. Two unique solutions are found and presented for the easiest possible cube and a solution for the hardest possible cube.
    Journal of Mathematics and the Arts 01/2013; 7(1).
  • Journal of Mathematics and the Arts 01/2013; 7(2).
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    ABSTRACT: We describe the solution to a mathematical question that arises in the context of constructing four-couple dances in which there is no repetition in the positions and partnerships formed by the dancers during the intermediate stages of the dance. Our description makes use of various properties of permutations and cycle notation which are well known to mathematicians but probably less so more broadly. An implementation of the mathematical solution as an actual dance is discussed. We also consider generalizations of the original problem and explain a connection with the theory of orthogonal Latin squares.
    Journal of Mathematics and the Arts 01/2013; 7(1).
  • Journal of Mathematics and the Arts 01/2013; 7(2).
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    ABSTRACT: Different geometric realizations of topological Klein bottles are discussed and analysed in terms of whether they can be smoothly transformed into one another and thus belong into the same regular homotopy class. Simple and distinct representatives for each of the four expected classes are introduced. In addition, novel and unusual geometries for Klein bottles are presented, some of them knotted, which may serve as proposals for large-scale sculptures.
    Journal of Mathematics and the Arts 01/2013; 7(2).
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    ABSTRACT: In 1704 Father Sébastien Truchet published an article, ‘Mémoire sur les combinaisons’, that describes his mathematical and artistic investigations into how a simple set of square tiles, each divided by a diagonal into a white half and a black half, can be arranged to form an infinity of pleasing designs. In this paper, we describe how to modify Truchet’s tiles so that a collection of them can be used for halftoning, the reproduction of user-supplied greyscale target images in pure black and white. We do this by allowing the diagonals of the tiles to ‘flex’ or bend at their midpoints in accordance with the brightness of an individual pixel, or a collection of pixels, from the target image. We also present hexagonal variations, a similar scheme for the Truchet-like tiles – each decorated with two quarter-circle arcs centred at opposite corners of the square – proposed by Cyril Stanley Smith in 1987, and an extension that can be applied to all regular and semiregular tilings.
    Journal of Mathematics and the Arts 01/2013; 7.
  • [Show abstract] [Hide abstract]
    ABSTRACT: The domain-colouring algorithm for visualizing complex-valued functions, when used with complex Fourier series, offers novel techniques to produce mathematical art. Using a photograph instead of the usual colour wheel of the algorithm, the artist can incorporate colours and textures in designs that are symmetric, yet organic. Techniques are described in detail, including methods to create rosettes, friezes and wallpaper patterns, with various types of colour symmetry. The techniques permit new approaches to pattern metamorphosis, as seen in the work of M.C. Escher.
    Journal of Mathematics and the Arts 01/2013; 7(2).
  • Journal of Mathematics and the Arts 01/2013; 7.