On the Mathematics of Geometry in My Abstract Paintings

Bibliographic Data

ID10276217
AuthorsCrockett Johnson (corresponding author)
Year1972
Volume5
Issue2
Pages97
Publication date1972-01-01
Open AccessNo
TypeARTICLE
VenueLeonardo (JOURNAL)
Journal identifiersISSN: 0024-094X • E-ISSN: 1530-9282
PublisherJSTOR (PUBLISHER)
DOI10.2307/1572542
OpenAlexW2325495227
LanguageEN
Citations received3
References cited4

The artist, who is not a mathematician, describes his use of geometry as an artist’s tool both in his earlier non-figurative paintings, which are freely based on historic theorems of geometry, and in his more recent work, much of which is based on his own mathematical constructions. Two of his earlier paintings and five more recent ones are described together with their origins. One painting is a rendition of the problem of squaring the circle, two concern the Delos problem of doubling the volume of a cube and two involve the division of areas by ‘conic’ rectangles. Resume: L’artiste, qui n’est pas mathematicien, decrit l’usage qu’il fait de la geometrie en tant qu’instrument pour l’artiste, d’une part dans ses premieres peintures non-figuratives, qui sont approximativement fondees sur les theoremes historiques de la geometrie, et d’autre part dans ses œuvres plus recentes, dont la plupart ont pour base ses propres constructions mathematiques. Deux des premiers tableaux et cinq des plus recents sont decrits, ainsi que leur origine. L’une des œuvres illustre le probleme de la quadrature du cercle, deux d’entre elles ont rapport au probleme de Delos qui etait de doubler le volume d’un cube, et deux autres impliquent la division de surfaces par des ‘rectangles coniques’

Art · Geometry · Painting · Visual arts · Architecture and Art History Studies · History and Theory of Mathematics · Mathematics · Mathematics and Applications

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