Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris

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Reference

Cornelie Leopold: Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris. In: Bridges 2016, Pages 187–194.

DOI

Abstract

The work of the Dutch artist Gerard Caris is based on pentagonal structures. His work shows us the possibilities and stimuli that emerge from geometric structural thinking concentrated on regular pentagons. The artist developed aesthetical expressions by exploring pentagonal structures in the plane as well as in space. The paper tries to understand and reproduce the developments of his art creations in the form of drawings based on the pentagon as well as sculptures based on the dodecahedron. The artist’s way to explore pentagonal structures will be related to the geometric research and the aesthetic categories by evaluating Gerard Caris’ art in its relation to order and innovation.

Extended Abstract

Bibtex

@inproceedings{bridges2016:187,
 author      = {Cornelie Leopold},
 title       = {Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris},
 pages       = {187--194},
 booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
 year        = {2016},
 editor      = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
 isbn        = {978-1-938664-19-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = {http://de.evo-art.org/index.php?title=Geometry_and_Aesthetics_of_Pentagonal_Structures_in_the_Art_of_Gerard_Caris },
 note        = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-187.html}}
}

Used References

[1] Gerard Caris. Pentagonism. http://www.gerardcaris.com (as of Jan. 26, 2016).

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[4] Cornelie Leopold. Prolegomena zu einer geometrischen Ästhetik. In: Friedhelm Kürpig (ed.). Ästhetische Geometrie – Geometrische Ästhetik. Aachen: Shaker Verlag, 2011, pp. 61-65.

[5] Paul Valéry. Introduction à la méthode de Léonard de Vinci. Paris: La Nouvelle Revue Française, 1895.

[6] Gregor Jansen, Peter Weibel (ed.). Gerard Caris. Pentagonismus/Pentagonism. Köln: Walther König, 2007, p.139.

[7] Albrecht Dürer. Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien, Ebenen und gantzen corporen. Nürnberg 1525, S.66-69. Online Edition: digital.slubdresden. de/werkansicht/dlf/17139 (as of Jan. 26, 2016).

[8] Johannes Kepler. Harmonices Mundi. München: C.H. Beck, 1981.

[9] Major P. A. MacMahon. New Mathematical Pastimes. Cambridge: University Press, 1921. p.101.

[10] http://mathworld.wolfram.com/DualTessellation.html (as of Jan. 26, 2016), according R. Williams. The Geometrical Foundation of Natural Structure: A Source Book of Design. New York: Dover, 1979, p.37.

[11] Issam El-Said, Ayse Parman. Geometric Concepts in Islamic Art. World of Islam Festival Publishing Company Ltd, 1976, pp.82ff.

[12] J. H. Conway and J. C. Lagarias. Tiling with polyominoes and combinatorial group theory. Journal of Combinatorial Theory, Series A, 53, 1990, pp.183–208.

[13] https://commons.wikimedia.org/wiki/File:Penrose_vertex_figures.svg (as of Jan. 26, 2016).

[14] Daniel Groß. Planet “Goldener Diamant“. In: Cornelie Leopold (ed.). Geometrische Strukturen. Technical University of Kaiserslautern 2007, pp.28-33.

[15] Cornelie Leopold. Strukturelles Denken als Methode. In: Joaquín Medina Warmburg / Cornelie Leopold (ed.). Strukturelle Architektur. Zur Aktualität eines Denkens zwischen Technik und Ästhetik. Bielefeld: Transcript Verlag, 2012, pp.9-29.


Links

Full Text

http://archive.bridgesmathart.org/2016/bridges2016-187.pdf

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Sonstige Links

http://archive.bridgesmathart.org/2016/bridges2016-187.html