A Workshop in Geometric Constructions of Mosaic Designs

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Reza Sarhangi: A Workshop in Geometric Constructions of Mosaic Designs. In: Bridges 2010. Pages 531–538



The focus of this workshop is to study two different approaches for creating mosaic designs and to compare them. A traditional and well-known method in this regard is using a compass and straightedge. The other method that will be introduced and discussed during this workshop is the use of the modularity method. Modularity is a special cutting and pasting process of tiles to create tile designs. During this workshop the participants will create a series of designs using a compass and straightedge, and then through some hands-on activities, they will discover that the same designs could be constructed using modularity. The cuts in the modularity method are elementary in that they cut the tiles (mainly squares) along line segments, such as the diagonals, to divide the tile into two or three pieces. For certain designs, there are more detailed methods of cutting that the participants should execute to construct more complex geometric shapes.

Extended Abstract


Used References

[1] Jazbi, S. A. (editor), Applied Geometry, Soroush Press, Tehran 1997.

[2] Sarhangi, R, Modules and Modularity in Mosaic Patterns, the Journal of the Symmetrion, Raymond Tennant and Gyorgy Darvas, Editors, Volume 19, Numbers 2-3, 2008, PP. 153-163.

[3] Sarhangi, R., S. Jablan, and R. Sazdanovic, Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical, and Theoretical Considerations, 2004 Bridges Proceedings, Central Plain Book Manufacturing, Kansas, 2004, pp. 281-292.

[4] Broug, Eric, www.broug.com.

[5] Bier, Carol, Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran, 2002 Bridges Proceedings, Central Plain Book Manufacturing, Kansas, 2002, pp. 67-78.

[6] El-Said, Issam and Ayse Parman, Geometric Concepts in Islamic Art, WIFT, 1976.

[7] Broug, Eric, Islamic Geometric Patterns, Thames and Hudson, 2008.


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