A Stone Block From Old Smyrna. Pente Grammai? Abacus?
Foça Serhat , Tanrıver Cumhur, Tanrıver Duygu Akar
The study examines, a stone block of unknown provenance preserved in a warehouse in Old Smyrna. On the flat surface of the stone, there are five parallel lines with round holes at the ends of each line, and a half-arc-shaped line on the top of one of the straight lines. The suggestions that stone blocks with different versions of this pattern, including five, seven, and eleven lines, were used for different purposes are controversial. While such stone blocks have been found in sanctuaries and settlements in the Greek mainland and on the islands, this specific Old Smyrna find provides an important contribution to Anatolian history. First researchers who worked on the subject defined these stones as a board for the Pente Grammai game, one of the lesser-known ancient games; later researchers described stone blocks with letters as abaci. In recent studies, it has been suggested on the basis of archaeological evidence that such stones functioned as a means of teaching mathematics in Greek educational system. The Old Smyrna find with its simple design is interpreted by us to be both a game board (Pente Grammai) and a simple calculating tool (abacus). The closest parallels to the design of the Old Smyrna example can be found at Stagira and at Eretria.
References:
Akar Tanrıver, D., Foça, S. 2022: Eski Smyrna’da ele geçen kemik ve fildişi objeler. TÜBA-KED: Türkiye Bilimler Akademisi Kültür Envanteri Dergisi 26, 135–156.
Aktaş, R. 2018: Aşık kemiğinin (astragalos) antik dönemde kullanımı. In: O. Zunal, Y. Polat, H. Cevizoğlu, G.G. Demir, G. Polat, G. Günata, E. Doğan Gürbüzer, C. Pişkin Ayvazoğlu (eds.), Prof. Dr. Nuran Şahin’e Armağan Kitabı: EPIPHANEIA. İzmir, 1–8.
Akurgal, E. 1997: Eski İzmir. Cilt I. Yerleşme Katları ve Athena Tapınağı. Ankara.
Austin, R.G. 1940: Greek Board-games. Antiquity 14, 257–271.
Becq de Fouquières, L. 1873: Les jeux des anciens: leur description, leur origine, leurs rapports avec la religion, l’histoire, les arts et les moeurs. 2e ed. Paris.
Blinkenberg, Chr. 1898: Epidaurische Weihgeschenke. Mitteilungen des Kaiserlich Deutschen Archäologischen Instituts, Athenische Abteilung XXIII, 1–23.
Blok, J. 2021: Greek Numerals and Numeracy. In: Y. Suto (ed.), Transmission and Organization of Knowledge in the Ancient Mediterranean World. Vienna, 21–40.
Boardman, J. 2003: Siyah Figürlü Atina Vazoları. İstanbul.
Brommer, F. 1974: Denkmälerlisten zur griechischen Heldensage. II. Bd. Theseus–Bellerophon–Achill. Marburg.
Broneer, O. 1933: Excavations in the Agora at Corinth, 1933. American Journal of Archaeology 37/4, 554–572.
Broneer, O. 1954: The South Stoa and Its Roman Successors. (Corinth, I/4). Princeton (NJ).
Bucholz, H.G. 1987: Brettspielende Helden. In: S. Laser (Hrsg.), Sport und Spiel. (Archaeologia Homerica, 3). Göttingen, 126–184.
Cevizoğlu, H., Tanrıver, C. 2023: Eski Smyrna savunma duvarları. Höyük 11, 73–88.
Chavane, M.-J. 1975: Les Petits Objets. (Salamine de Chypre, VI). Paris.
Chidiroglou, M., Schädler, U., Schierup, S. 2022: Les plateaux de jeu grecs archaïques en terre cuite reconsidérés. Pallas 119, 19–41.
Dasen, V. 2015: Achille et Ajax: quand l’agôn s’allie à l’alea. Revue du MAUSS 2 (46), 81–98.
Dasen, V., Gavin, J. 2022: Game Board or Abacus? Greek Counter Culture Revisited. Board Game Studies Journal 16/1, 251–307.
Déonna, W. 1938: Le mobilier délien. (Exploration Archéologique de Délos, XVIII). Paris.
Erdem, A.Ü., Tanrıver, C. 2016: 2015 yılı Bayraklı Höyük kazıları: Tunç Çağı çalışmalarına dair ön rapor. ADerg (Arkeoloji dergisi) XXI, 1–9.
Ersoy, A., Erdin, Ö. 2015: Antik Dönem Smyrna Agorası’nda bulunan Roma Dönemi Ludus Latrunculorum ve Mankala oyun tablaları üzerine inceleme. In: E. Okan, C. Atila (eds.), Prof. Dr. Ömer Özyiğit’e Armağan / Studies in Honour of Ömer Özyiğit. İstanbul, 141–156.
Garland, R. 1985: The Greek Way of Death. London.
Gerhard, E. (ed.) 1884: Etruskische Spiegel. 5. Bd. Berlin.
Ignatiadou, D. 2016: The Warrior Priest in Derveni Grave B Was a Healer Too. Histoire, médecine et santé 8, 89–113.
Ignatiadou, D. 2019: Luxury Board Games for the Northern Greek Elite. Archimède: archéologie et histoire ancienne 6, 144–159.
Immerwahr, H.R. 1986: Aegina, Aphaia-Tempel, 9. An Archaic Abacus from the Sanctuary of Aphaia. Archäologischer Anzeiger 1986, 195–204.
Kallipolitis, V.G. 1963: [The Anagyrountos’ Tomb Excavations]. Archaiologikon Deltion 18/Α', 115–132.
Καλλιπολίτης, Β.Γ. Ανασκαφή τάφων Αναγυρούντος. Αρχαιολογικόν Δελτίον 18/Α', 115–132.
Kent, J.H. 1966: The Inscriptions, 1926–1950. (Corinth, VIII/3). Princeton (NJ).
Kidd, S. 2017: Pente Grammai and the ‘Holy Line’. Board Game Studies Journal 11, 83–99.
Knoepfler, D. 2001: Décrets érétriens de proxénie et de citoyenneté. (Eretria, Fouilles et recherches, XI). Lausanne.
Kotoula, E., Ignatiadou, D. 2019: A Sketch and Image-based 3D Representation of the Derveni Board Game Using the CHER-ish Software. In: P. Kyriakidis, A. Agapiou, V. Lysandrou (eds.), Spreading Excellence in Computer Applications for Archaeology and Cultural Heritage. Proceedings of the 3rd Conference on Computer Applications and Quantitative Methods in Archaeology, Greek Chapter (CAA-GR). Limassol, Cyprus, 18–20 June 2018. Limassol, 85–93.
Kübler, K. 1970: Die Nekropole des späten 8. bis frühen 6. Jahrhunderts. (Kerameikos, VI/2). Berlin.
Kurke, L. 1999: Ancient Greek Board Games and How to Play Them. Classical Philology 94/3, 247–267.
Kurtz, D.C., Boardman, J. 1971: Greek Burial Customs. London.
Lamer, H. 1927: Lusoria tabula. In: RE. Bd. XIII/2, 1900–2029.
Lang, M. 1957: Herodotos and the Abacus. Hesperia 26/3, 271–288.
Leonardos, V. 1925–1926: [The Inscriptions of Amfiareios]. Archaiologike Ephemeris 1925–1926, 9–45.
Λεονάρδος, B. Ἀμφιαρείου ἐπιγραφαί. Αρχαιολογική Εφημερίς 1925–1926, 9–45.
Mathé, V. 2009: Un abaque à Delphes. Bulletin de Correspondance Hellénique 133/1, 169–178.
Murray, H.J.R. 1978: A History of Board-Games Other Than Chess. New York.
Netz, R. 2002: Counter Culture: Towards a History of Greek Numeracy. History of Science XL, 321–352.
Pritchett, W.K. 1968: ‘Five Lines’ and IG I2 324. California Studies in Classical Antiquity 1, 187–215.
Schädler, U. 1999: Damnosa alea – Würfelspiel in Griechenland und Rom. In: G. Bauer (Hrsg.), 5000 Jahre Würfelspiel. Katalog der Ausstellung. (Homo Ludens, 9). Salzburg, 39–58.
Schädler, U. 2009: Pente grammai – The Ancient Greek Board Game Five Lines. In: J.N. Silva (ed.), Board Game Studies. Colloquium XI, April 23rd to April 26th 2008. Lisboa, 173–196.
Schärlig, A. 2001: Compter avec des cailloux: le calcul élémentaire chez les anciens Grecs. Lausanne.
Selvi Bener, S. 2013: Antikçağda Oyun ve Oyuncaklar. İstanbul.
Tanrıver, C. 2023: İzmir’e adını veren kent: Eski Smyrna. In: A. Ersoy (ed.), Geçmişten Günümüze Kurtuluşun 100. Yılında İzmir – Arkeoloji. İzmir, 77–109.
Tanrıver, C., Akat Özenir, S., Akar Tanrıver, D.S., Erdem Otman, A.Ü., Erdoğan A. 2017: Eski Smyrna (Bayraklı Örenyeri/Tepekule) Kazısı 2014–2015. In: A. Özme (ed.), 38. Kazı Sonuçları Toplantısı. 3. Cilt. Ankara, 95–114.
Tanrıver, C., Ertüzün, B., Erdem Otman, A.Ü., Akar Tanrıver, D.S. 2023: Eski Smyrna (Bayraklı Ören Yeri) Kazısı 2021 yılı çalışmaları. In: A. Özme (ed.), 42. Kazı Sonuçları Toplantısı. 2. Cilt. Ankara, 53–68.
Vermeule, E. 1979: Aspects of Death in Early Greek Art and Poetry. Berkeley–Los Angeles–London.
Whittaker, H. 2004: Board Games and Funerary Symbolism in Greek and Roman Contexts. In: S. Des Bouvrie (ed.), Myth and Symbol. Vol. II. Symbolic Phenomena in Ancient Greek Culture. Papers from the Second and Third International Symposia on Symbolism at the Norwegian Institute at Athens, September 21–24, 2000 and September 19–22, 2002. (Papers from the Norwegian Institute at Athens, 7). Bergen, 279–302.
Woodford, S. 1982: Ajax and Achilles Playing a Game on an Olpe in Oxford. Journal of Hellenic Studies 102, 173–185.
Zazoff, P. 1968: Etruskische Skarabäen. Mainz am Rhein.