The Third Dimension of the Magdouh Mosaic in Antioch
This study investigates the complex geometry of the pattern of circles in the Magdouh Mosaic, which dates to between the ffth and sixth centuries, found in Antioch-on-the-Orontes (modern Antakya, Turkey). The mosaic has a complex pattern that is composed of tangent, overlapping and intersecting circ...
| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
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Bursa Uludağ University Mosaic Research Centre
2019-11-01
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| Series: | Journal of Mosaic Research |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/799441 |
| _version_ | 1797917740250431488 |
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| author | Hakan HİSARLIGİL Beyhan BOLAK HİSARLIGİL |
| author_facet | Hakan HİSARLIGİL Beyhan BOLAK HİSARLIGİL |
| author_sort | Hakan HİSARLIGİL |
| collection | DOAJ |
| description | This study investigates the complex geometry of the pattern of circles in the Magdouh Mosaic, which dates to between the ffth and sixth centuries, found in Antioch-on-the-Orontes (modern Antakya, Turkey). The mosaic has a complex pattern that is composed of tangent, overlapping and intersecting circles suggesting that it was worthwhile analyzing in 3D. Through such an analysis, it was observed that the extension of the pattern of circles into a third dimension looks like spheres packed together that intersect in three directions at right angles.
This can also be demonstrated by packing octahemioctahedra, which are a cluster of eight regular packed tetrahedra contained within the spheres. In addition, the packing of octahemioctahedra in this way also suggests the packing of stella octangula contained within hemispheres that intersect each other. Furthermore, tracing the line segments that are emphasized in each circle in the Magdouh Mosaic in such a 3D structure turns them into space-flling rhombohedra that can be dissected into two tetrahedra and an octahedron. Thus,
the result of this study shows that the Magdouh Mosaic in Antioch is the top view of a square-based pyramidal cluster of intersecting hemispheres that hold space-flling rhombohedra inside them. |
| first_indexed | 2024-04-10T13:18:35Z |
| format | Article |
| id | doaj.art-90fbf7c151ae4295bbc626e283b98a16 |
| institution | Directory Open Access Journal |
| issn | 1309-047X 2619-9165 |
| language | deu |
| last_indexed | 2024-04-10T13:18:35Z |
| publishDate | 2019-11-01 |
| publisher | Bursa Uludağ University Mosaic Research Centre |
| record_format | Article |
| series | Journal of Mosaic Research |
| spelling | doaj.art-90fbf7c151ae4295bbc626e283b98a162023-02-15T16:12:10ZdeuBursa Uludağ University Mosaic Research CentreJournal of Mosaic Research1309-047X2619-91652019-11-011210711810.26658/jmr.614865The Third Dimension of the Magdouh Mosaic in AntiochHakan HİSARLIGİL0https://orcid.org/0000-0003-0616-9539Beyhan BOLAK HİSARLIGİL1https://orcid.org/0000-0002-3343-0440İstanbul Rumeli University, Department of Architecture, İstanbul, Türkiyeİstanbul Rumeli University, Department of Architecture, İstanbul, TürkiyeThis study investigates the complex geometry of the pattern of circles in the Magdouh Mosaic, which dates to between the ffth and sixth centuries, found in Antioch-on-the-Orontes (modern Antakya, Turkey). The mosaic has a complex pattern that is composed of tangent, overlapping and intersecting circles suggesting that it was worthwhile analyzing in 3D. Through such an analysis, it was observed that the extension of the pattern of circles into a third dimension looks like spheres packed together that intersect in three directions at right angles. This can also be demonstrated by packing octahemioctahedra, which are a cluster of eight regular packed tetrahedra contained within the spheres. In addition, the packing of octahemioctahedra in this way also suggests the packing of stella octangula contained within hemispheres that intersect each other. Furthermore, tracing the line segments that are emphasized in each circle in the Magdouh Mosaic in such a 3D structure turns them into space-flling rhombohedra that can be dissected into two tetrahedra and an octahedron. Thus, the result of this study shows that the Magdouh Mosaic in Antioch is the top view of a square-based pyramidal cluster of intersecting hemispheres that hold space-flling rhombohedra inside them.https://dergipark.org.tr/tr/download/article-file/799441ancient mosaicsantiochgeometrycubic close packingrhombohedron |
| spellingShingle | Hakan HİSARLIGİL Beyhan BOLAK HİSARLIGİL The Third Dimension of the Magdouh Mosaic in Antioch Journal of Mosaic Research ancient mosaics antioch geometry cubic close packing rhombohedron |
| title | The Third Dimension of the Magdouh Mosaic in Antioch |
| title_full | The Third Dimension of the Magdouh Mosaic in Antioch |
| title_fullStr | The Third Dimension of the Magdouh Mosaic in Antioch |
| title_full_unstemmed | The Third Dimension of the Magdouh Mosaic in Antioch |
| title_short | The Third Dimension of the Magdouh Mosaic in Antioch |
| title_sort | third dimension of the magdouh mosaic in antioch |
| topic | ancient mosaics antioch geometry cubic close packing rhombohedron |
| url | https://dergipark.org.tr/tr/download/article-file/799441 |
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