Fractal analysis of tree paintings by Piet Mondrian (1872-1944)

Tassos Bountis, Athanassios S. Fokas, Emmanouil Z. Psarakis

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We examine two paintings by Piet Mondrian, and suggest that his depiction of tree foliages exhibit fractal patterns of a specific dimension. Our analysis implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings. In recent years there has been a stimulating debate among scientists arguing for and against the thesis that Jackson Pollock's drip paintings when analysed at small scales can be described by the mathematics of fractal geometry. Our suggestion that fractal patterns exist in the paintings of a second famous artist-in this case Piet Mondrian-further supports the hypothesis that the beauty which exists in fractality may affect consciously or subconsciously such great painters as Jackson Pollock and Piet Mondrian.

Original languageEnglish
Pages (from-to)27-42
Number of pages16
JournalInternational Journal of Arts and Technology
Volume10
Issue number1
DOIs
Publication statusPublished - Jan 1 2017

Fingerprint

Painting
Fractals
Geometry
Fractal
Piet Mondrian
Jackson Pollock
Painters

Keywords

  • Fractal dimension
  • Fractals
  • Piet Mondrian
  • Scaling laws
  • Tree paintings

ASJC Scopus subject areas

  • Visual Arts and Performing Arts
  • Computer Science Applications

Cite this

Fractal analysis of tree paintings by Piet Mondrian (1872-1944). / Bountis, Tassos; Fokas, Athanassios S.; Psarakis, Emmanouil Z.

In: International Journal of Arts and Technology, Vol. 10, No. 1, 01.01.2017, p. 27-42.

Research output: Contribution to journalArticle

Bountis, Tassos ; Fokas, Athanassios S. ; Psarakis, Emmanouil Z. / Fractal analysis of tree paintings by Piet Mondrian (1872-1944). In: International Journal of Arts and Technology. 2017 ; Vol. 10, No. 1. pp. 27-42.
@article{0833f4d2ec5d4ae0a287d247168f4cd7,
title = "Fractal analysis of tree paintings by Piet Mondrian (1872-1944)",
abstract = "We examine two paintings by Piet Mondrian, and suggest that his depiction of tree foliages exhibit fractal patterns of a specific dimension. Our analysis implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings. In recent years there has been a stimulating debate among scientists arguing for and against the thesis that Jackson Pollock's drip paintings when analysed at small scales can be described by the mathematics of fractal geometry. Our suggestion that fractal patterns exist in the paintings of a second famous artist-in this case Piet Mondrian-further supports the hypothesis that the beauty which exists in fractality may affect consciously or subconsciously such great painters as Jackson Pollock and Piet Mondrian.",
keywords = "Fractal dimension, Fractals, Piet Mondrian, Scaling laws, Tree paintings",
author = "Tassos Bountis and Fokas, {Athanassios S.} and Psarakis, {Emmanouil Z.}",
year = "2017",
month = "1",
day = "1",
doi = "10.1504/IJART.2017.083902",
language = "English",
volume = "10",
pages = "27--42",
journal = "International Journal of Arts and Technology",
issn = "1754-8853",
publisher = "Inderscience Publishers",
number = "1",

}

TY - JOUR

T1 - Fractal analysis of tree paintings by Piet Mondrian (1872-1944)

AU - Bountis, Tassos

AU - Fokas, Athanassios S.

AU - Psarakis, Emmanouil Z.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We examine two paintings by Piet Mondrian, and suggest that his depiction of tree foliages exhibit fractal patterns of a specific dimension. Our analysis implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings. In recent years there has been a stimulating debate among scientists arguing for and against the thesis that Jackson Pollock's drip paintings when analysed at small scales can be described by the mathematics of fractal geometry. Our suggestion that fractal patterns exist in the paintings of a second famous artist-in this case Piet Mondrian-further supports the hypothesis that the beauty which exists in fractality may affect consciously or subconsciously such great painters as Jackson Pollock and Piet Mondrian.

AB - We examine two paintings by Piet Mondrian, and suggest that his depiction of tree foliages exhibit fractal patterns of a specific dimension. Our analysis implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings. In recent years there has been a stimulating debate among scientists arguing for and against the thesis that Jackson Pollock's drip paintings when analysed at small scales can be described by the mathematics of fractal geometry. Our suggestion that fractal patterns exist in the paintings of a second famous artist-in this case Piet Mondrian-further supports the hypothesis that the beauty which exists in fractality may affect consciously or subconsciously such great painters as Jackson Pollock and Piet Mondrian.

KW - Fractal dimension

KW - Fractals

KW - Piet Mondrian

KW - Scaling laws

KW - Tree paintings

UR - http://www.scopus.com/inward/record.url?scp=85019016668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019016668&partnerID=8YFLogxK

U2 - 10.1504/IJART.2017.083902

DO - 10.1504/IJART.2017.083902

M3 - Article

VL - 10

SP - 27

EP - 42

JO - International Journal of Arts and Technology

JF - International Journal of Arts and Technology

SN - 1754-8853

IS - 1

ER -