Journal of Mathematics and the Arts (J Math Arts)

Publisher: Taylor & Francis

Journal 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.

Current impact factor: 0.00

Impact Factor Rankings

Additional details

5-year impact 0.00
Cited half-life 0.00
Immediacy index 0.00
Eigenfactor 0.00
Article influence 0.00
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 can archive a post-print version
  • Conditions
    • Some individual journals may have policies prohibiting pre-print archiving
    • On author's personal website or departmental website immediately
    • On institutional repository or subject-based repository after either 12 months embargo
    • 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)
    • The publisher will deposit in on behalf of authors to a designated institutional repository including PubMed Central, where a deposit agreement exists with the repository
    • STM: Science, Technology and Medicine
    • Publisher last contacted on 25/03/2014
    • This policy is an exception to the default policies of 'Taylor & Francis'
  • Classification
    green

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper presents a family of two-dimensional parametric curves that produce frieze patterns with a range of symmetries, organic variations and spatial rhythms. The curves are described by Whewell equations that relate the tangential angle of the curve to its arc length through a series of sine terms. When the low-order harmonics of two sine components are comparable, the pattern develops rhythmic variations (i.e., beats) that may be thought of as a spatial analogue of combination tones in music theory. Inclusion of multiple sine components creates complex, polyphonic patterns with looping forms on a range of spatial scales. The family of curves is based on a historical description of meander bends and rivers, and extends that model to include multiple frequency components.
    No preview · Article · Oct 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: How can aesthetic responses to artworks be computed? Previous authors have proposed governing properties, including symmetry and complexity, along with equations for quantifying these properties and combining them into an overall measure of aesthetics. But existing mathematical models have not been well motivated by psychological theories or well validated by empirical testing. An alternative model is derived here, using a novel measure of visual entropy to quantify graphic complexity and compute aesthetic optimality. This model is tested against human judgments of complexity and aesthetics using abstract designs composed of horizontal and vertical grid lines. The empirical results support the mathematical model of entropy and optimality, but also highlight difficulties associated with computing aesthetics for other abstract and figurative artworks. Implications of the data and model are discussed with regard to current and future efforts in the field of computational aesthetics, aimed at automating the evaluation of aesthetics and generation of artworks.
    No preview · Article · Oct 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: In Easter Ross in Scotland there are a number of cross-slabs with various carvings of knotworks. There is a specific circular knotwork on two of the stones originally found there, the Hilton of Cadboll and the Nigg stone. Both stones show recurring loops, referred to as pattern No. 295 by Allen and Anderson. In a previous paper, we developed a fully functional model of circular knotworks that can be created with pattern No. 295, referred to as C295. That model used the concepts of loops, layers and components to describe the structure of the knotwork. However, when dealing with these knotworks in practice it is evident that many parameter combinations are unsuitable for tying into a mat made out of rope. In some cases the structure could be too dense or not dense enough. In this paper, we extend our model by interposing layers of what can be seen as Turk's head knots between layers in a C295 design. We derive equations to calculate the number of strands in these extended knotworks.
    No preview · Article · Sep 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Aug 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: We analyse the glass rhombicuboctahedron (RCO) appearing in a famous painting of Pacioli (1495), considering the extent to which it might agree with a physically correct rendering of a corresponding glass container half filled with water. This investigation shows that it is unlikely that the painter of the RCO was looking at such a physical object. We then ask what a proper rendering of such an object might look like. Our computer renderings, which take into account multiple internal and external reflections and refractions, yield visual effects that differ strongly from their depictions in the painting. Nevertheless, the painter of the RCO has clearly succeeded in providing a rendering that appears plausible and awe-inspiring to almost all observers.
    No preview · Article · Jul 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Jun 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Jun 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Apr 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: This paper investigates how differential equations models have been used to study works in literature, poetry and film. We present applications to works by William Shakespeare, Francis Petrarch, Ray Bradbury, Herman Melville, Ridley Scott and others, as well as applications to Greek mythology and the Bible. This paper gives a range of useful examples for teaching, and we discuss how these models have been used in the classroom.
    No preview · Article · Apr 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Apr 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: This paper presents a mathematical analysis of a series of geometrical abstract artworks by the Portuguese author Almada Negreiros (1893-1970), understood in the context of the author's search for a canon. After a brief description of Almada's work in the frame of twentieth-century visual arts, we examine the mathematical elements in three of his works: illustrations for a newspaper interview, two drawings from a collection called Language of the Square and his last visual work, the mural Começar. The analysis revealed that some of the author's geometrical constructions were mathematically exact whereas others were approximations. We used computer-based drawings, along with mathematical deductions to examine the constructions presented in the aforementioned works, which we believe to be the representative of Almada's geometric statements. Our findings show that, though limited by the self-taught nature of his endeavour, the mathematical content of these artworks is surprisingly rich. The paper is meant to be an introduction to Almada's work from a mathematical point of view, showing the importance of a comprehensive study of the mathematical elements in the author's body of work.
    No preview · Article · Feb 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Feb 2015 · Journal of Mathematics and the Arts
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    ABSTRACT: Braiding is a traditional art used to enhance both the decorative and structural properties of any sort of stranded material, and braids are designed with attention to aesthetic principles, structural cohesion, and ease of construction. This work will determine, for a family of braids which are determined by directed graph structures, how these desiderata can be associated with a mathematical property of the underlying directed graphs. Of particular interest in this investigation is the notion of serial constructability, in which individual strands are laid down separately, and the closely related property of fault tolerance. In addition, the established property of braid decomposability is explored through the lens of this relationship between braid cohesiveness and digraph properties. These results are demonstrated for braids with a prescribed crossing sequence, and the potential extensions to braids with arbitrary sequences of crossings are explored.
    No preview · Article · Feb 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Jan 2015 · Journal of Mathematics and the Arts

  • No preview · Article · Dec 2014 · Journal of Mathematics and the Arts
  • Source
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    ABSTRACT: We use integer programming to design sets of tiles that can be interpreted as still lifes or phoenix patterns in Conway's Game of Life. We design the tiles to be modular so that when we place tiles side by side, the resulting composite pattern will also be a still life or phoenix. We also design the tiles so that they have various brightness levels. This makes the tiles suitable for constructing Game of Life mosaics that resemble user-supplied greyscale target images.
    Preview · Article · Oct 2014 · Journal of Mathematics and the Arts

  • No preview · Article · Oct 2014 · Journal of Mathematics and the Arts

  • No preview · Article · Oct 2014 · Journal of Mathematics and the Arts
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    ABSTRACT: On the 500th anniversary of Albrecht Dürer's copperplate engraving Melencolia I, we invite readers to join in a time-honoured ‘party game’ that has attracted art historians and scientists for many years: guessing the nature and meaning of the composition's enigmatic stone polyhedron. Our main purpose is to demonstrate the usefulness of the cross ratio in the analysis of works in perspective. We show how the cross ratio works as a projectively invariant ‘shape parameter’ of the polyhedron, and how it can be used in analysing other existing theories.
    No preview · Article · Oct 2014 · Journal of Mathematics and the Arts
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    Preview · Article · Oct 2014 · Journal of Mathematics and the Arts