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dc.contributor.author
Erbudak, Mehmet
dc.contributor.author
Kyurkchyan, Armen
dc.date.accessioned
2022-09-27T05:26:26Z
dc.date.available
2022-09-22T11:28:01Z
dc.date.available
2022-09-22T11:30:24Z
dc.date.available
2022-09-23T13:15:11Z
dc.date.available
2022-09-26T13:55:58Z
dc.date.available
2022-09-27T05:26:26Z
dc.date.issued
2022-08
dc.identifier.issn
1609-8498
dc.identifier.issn
1573-384X
dc.identifier.other
10.1163/1573384x-20220303
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/572389
dc.identifier.doi
10.3929/ethz-b-000572389
dc.description.abstract
The Armenian mediaeval culture is a treasure of ornaments. Sacral architecture, stone and wood carvings, decorations on paper and fabric, all contain planar periodic patterns. For the first time we classify the available ornaments according to their symmetry properties with the tools of mathematical group theory. We determine the unit cells of patterns, axes of rotation, mirror and glide reflections, all symmetry operations that preserve the pattern invariant. The results show that of seventeen crystallographic plane groups, four do not exist. Other symmetry groups are represented in a more or less balanced distribution with a dominance of fourfold symmetry. The distribution of the symmetry groups can be used to rigorously compare different cultural groups. Armenia, with its geographical location along the Silk Road, was inspired by different cultures and served as a source of inspiration for many cultures. The mathematical analysis of ornaments is an objective measure to follow such interactions.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Brill
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Wallpaper group
en_US
dc.subject
Crystallographic plane groups
en_US
dc.subject
Ornaments
en_US
dc.subject
Periodic patterns
en_US
dc.subject
Armenian art
en_US
dc.title
Symmetry in Armenian Mediaeval Ornaments
en_US
dc.title.alternative
Scientific analysis of Armenian medieval ornamentation
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2022-08-10
ethz.journal.title
Iran and the Caucasus
ethz.journal.volume
26
en_US
ethz.journal.issue
3
en_US
ethz.pages.start
231
en_US
ethz.pages.end
250
en_US
ethz.size
21 p. accepted version
en_US
ethz.version.deposit
acceptedVersion
en_US
ethz.identifier.wos
ethz.publication.place
Leiden
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02505 - Laboratorium für Festkörperphysik / Laboratory for Solid State Physics
en_US
ethz.date.deposited
2022-09-22T11:28:01Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2022-09-22T11:30:25Z
ethz.rosetta.lastUpdated
2023-02-07T06:33:09Z
ethz.rosetta.versionExported
true
ethz.COinS
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