Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces

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Reference

Begüm Hamzaoğlu and Mine Özkar: Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces. In: Bridges 2016, Pages 331–336.

DOI

Abstract

There is very little information today on the historical techniques that medieval craftsmen used to apply the intricate geometric patterns on architectural surfaces. This paper focuses on the particular problem of applying geometric patterns on curved stone surfaces and explores possible technical application scenarios for a select group of 13th century Anatolian patterns. We illustrate hypothetical processes of how to apply three patterns on three different types of curved surfaces and discuss the relation between the surface geometry and the tools. Our main motivation is to shed light on how the geometric construction of the designs and the making of these patterns correlate.

Extended Abstract

Bibtex

@inproceedings{bridges2016:331,
 author      = {Beg\"um Hamzao\u{g}lu and Mine \"Ozkar},
 title       = {Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces},
 pages       = {331--336},
 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=Geometric_Patterns_as_Material_Things:_The_Making_of_Seljuk_Patterns_on_Curved_Surfaces },
 note        = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-331.html}}
}

Used References

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[5] Ö. Bakirer, Selçuklu Öncesi ve Selçuklu Dönemi Anadolu Mimarisinde Tugla Kullanimi {The use of brick in Anatolian architecture in pre-Seljuk and Seljuk era}, ODTÜ, 1981.

[6] M. Özkar and N. Lefford, “Modal relationships as stylistic features: Examples from Seljuk and Celtic patterns”, JASIST, 57(11):1551-1560, 2006.

[7] A. Ozdural, “Mathematics and Arts: Connections between Theory and Practice in the Medieval Islamic World”, Historia Mathematica, 27:171–201, 2000.

[8] Ö. Bakırer, “The Story of the Three Graffiti”, Muqarnas, 16:42-69, 1999.

[9] M. Özkar, “Repeating Circles Changing Stars, Learning from the Medieval Art of Visual Computation”, In N. Lee (ed.), Digital Da Vinci: Computers in the Arts and Sciences. Springer, 49-64, 2014.

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http://archive.bridgesmathart.org/2016/bridges2016-331.pdf