Albrecht Dürer's Trochoidal Woodcuts

Since Albrecht Dürer studied the trochoid curves in a 1525 treatise on geometry called The Art of Measurement with Compass and Straightedge, it is natural to wonder whether he used them in his artwork. We therefore consider several pieces on which we overlay hypocycloids, limaçons, and epicycloids s...

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Bibliographic Details
Published inPRIMUS : problems, resources, and issues in mathematics undergraduate studies Vol. 18; no. 6; pp. 489 - 499
Main Author Simoson, Andrew J.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.11.2008
Taylor & Francis, Ltd
Taylor & Francis Ltd
Subjects
Art Expression
Artists
Calculus
cardioid
cusp
Durer, Albrecht (1471-1528)
epicycloid
epitrochoid
Equations (Mathematics)
Geometric Concepts
Geometry
Hypocycloid
hypotrochoid
limaçon
Mathematical problems
Mathematics education
parametric equations
polar curves
spanning angle
Studio Art
trochoid
unit vector
Visual artists
Woodworking
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Summary:Since Albrecht Dürer studied the trochoid curves in a 1525 treatise on geometry called The Art of Measurement with Compass and Straightedge, it is natural to wonder whether he used them in his artwork. We therefore consider several pieces on which we overlay hypocycloids, limaçons, and epicycloids so as to check for good matches in a fun activity of manipulating parametric equations, curves, and Dürer's art.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1051-1970
1935-4053
DOI:10.1080/10511970701625068