Generating infinite links as periodic tilings of the da Vinci-Dürer knots
type: Item
instance of: scholarly article
title: Generating infinite links as periodic tilings of the da Vinci-Dürer knots
zbMATH Open document ID: 1408.00019
author: Albert Samper
author: Blas Herrera
published in: The Mathematical Intelligencer
publication date: 2017-12-08T00:00:00Z
review text: The authors comment on six woodcuts by Albrecht Dürer (1471--1528) representing six knots (more precisely, links), which are extremely interesting, because of their intricate history (it is conceivable that they were originally drawn by Leonardo da Vinci, and that Dürer copied them), because of their beauty, and because of their mathematical aspect, including symmetry properties, are a variety of knot-theoretic questions that one may address when looking at these pictures. As the authors suggest, the large number of crossings in these drawings also make relations with the theory of infinite link diagrams and periodic tilings. The paper is beautifully illustrated.
reviewed by: Athanase Papadopoulos
Mathematics Subject Classification ID: 00A66
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 6816770
zbMATH Keywords: knots
zbMATH Keywords: links
zbMATH Keywords: mathematics and art
zbMATH Keywords: Albrecht Dürer
zbMATH Keywords: Dürer knots, Leonardo da Vinci
zbMATH Keywords: infinite links
zbMATH Keywords: periodic tiling
MaRDI profile type: Publication
full work available at URL: s00283-016-9679-5
OpenAlex ID: W2734690594
Wikidata QID: Q58197345
cites work: Q3735714
cites work: The first 1,701,936 knots
cites work: Q4844975
DOI: 10.1007/S00283-016-9679-5
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description: scientific article; zbMATH DE number 6816770