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Symmetry 2012, 4(2), 285-301; doi:10.3390/sym4020285
Article

Diagrammatics in Art and Mathematics

Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104, USA
Received: 8 March 2012 / Revised: 25 April 2012 / Accepted: 28 April 2012 / Published: 22 May 2012
(This article belongs to the Special Issue Symmetry and Beauty of Knots)
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Abstract

This paper explores two-way relations between visualizations in mathematics and mathematical art, as well as art in general. A collection of vignettes illustrates connection points, including visualizing higher dimensions, tessellations, knots and links, plotting zeros of polynomials, and new and rapidly developing mathematical discipline, diagrammatic categorification.
Keywords: diagrams; categorification; mathematics; art; constructivism; knots; polynomials; symmetry; tessellations; quantum diagrams; categorification; mathematics; art; constructivism; knots; polynomials; symmetry; tessellations; quantum
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Sazdanovic, R. Diagrammatics in Art and Mathematics. Symmetry 2012, 4, 285-301.

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