Version 1
: Received: 31 July 2020 / Approved: 2 August 2020 / Online: 2 August 2020 (13:01:04 CEST)
Version 2
: Received: 12 September 2020 / Approved: 14 September 2020 / Online: 14 September 2020 (05:42:34 CEST)
How to cite:
Erbudak, M.; Onat, S. Similarity in Symmetry Groups of Ornaments as a Measure for Cultural Interactions in Medieval Times. Preprints2020, 2020080031. https://doi.org/10.20944/preprints202008.0031.v1
Erbudak, M.; Onat, S. Similarity in Symmetry Groups of Ornaments as a Measure for Cultural Interactions in Medieval Times. Preprints 2020, 2020080031. https://doi.org/10.20944/preprints202008.0031.v1
Erbudak, M.; Onat, S. Similarity in Symmetry Groups of Ornaments as a Measure for Cultural Interactions in Medieval Times. Preprints2020, 2020080031. https://doi.org/10.20944/preprints202008.0031.v1
APA Style
Erbudak, M., & Onat, S. (2020). Similarity in Symmetry Groups of Ornaments as a Measure for Cultural Interactions in Medieval Times. Preprints. https://doi.org/10.20944/preprints202008.0031.v1
Chicago/Turabian Style
Erbudak, M. and Selim Onat. 2020 "Similarity in Symmetry Groups of Ornaments as a Measure for Cultural Interactions in Medieval Times" Preprints. https://doi.org/10.20944/preprints202008.0031.v1
Abstract
The symmetry properties of an ornament contain information about its civilisation and its interactions with other cultural sources. Two-dimensional periodic ornaments can be strictly classified into mathematical wallpaper groups. The collection of ornaments thus classified for a civilisation is characteristic of the cultural group and serves as a fingerprint to identify that group. If the distribution of wallpaper groups is available for several societies, multi-dimensional scaling algorithms can be applied to determine similarities and differences between the art practices of these communities. This method allows a systematic approach to the general ornamental practices within a culture and their interactions in the form of similarity of fingerprints. We test the feasibility of the method on examples of medieval Armenians, Byzantium, Seljuks first in Persia and then in Anatolia and among Arabs in the Middle East. For this purpose we present the distribution of the planar ornaments and calculate the corresponding Pearson correlation coefficients in pairs. The results suggest an intense interaction between the Seljuk Turks and Arab craftsmen, as well as between Armenian and Byzantine artisans who made the ornaments.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
