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Roman dodecahedron

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Roman bronze dodecahedron found in Tongeren, Gallo-Roman Museum, Tongeren

A Roman dodecahedron or Gallo-Roman dodecahedron[1][2] is a small hollow object made of copper alloy which has been cast into a regular dodecahedral shape with twelve flat pentagonal faces. Each face has a circular hole of varying diameter in the middle, the holes connecting to the hollow center, and each corner has a protruding knob.[1] Roman dodecahedra date from the 2nd to 4th centuries AD and their purpose remains unknown.[1] They rarely show signs of wear, and do not have any inscribed numbers or letters.[3]

Description

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Roman dodecahedra are cast in metal,[4] usually a copper alloy.[5] They are in the shape of regular dodecahedra, with the addition of a small metal ball at each vertex; each face has a circular hole in the centre. The dodecahedra vary in size from 4 to 11 cm; the holes in their faces have diameters ranging from 6 mm to 40 mm.[6] The lightest known example weighs 35 grams; the heaviest 1000 grams.[7]

The dodecahedra are cast using the lost wax technique.[8] The interior surfaces of the dodecahedra are left unfinished, though the outsides are well-finished and were probably polished.[9] Most are decorated with circles, lines, and dots, but no letters or numbers are known to be marked on any of the objects.[10] The most common decorative scheme is for two or three concentric circles to be inscribed around the holes.[11]

The metal balls on the vertices of the dodecahedra are not perfectly regular, suggesting that they were made without the use of a mould. They are generally soldered to the body of the dodecahedron,[12] though the example from Carmarthen in the collection of the Society of Antiquaries of London was cast as a single piece, including the balls.[13] One example, found in London, has clusters of three balls at each corner rather than just one.[12]

Discoveries

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Two dodecahedra and an icosahedron on display in the Rheinisches Landesmuseum Bonn, Germany

The first dodecahedron was found in 1739 in Aston, Hertfordshire, England.[1] Since then, about 130 similar objects have been found[14] in Austria, Belgium, France, Germany, Hungary, Luxembourg, the Netherlands, Switzerland and the United Kingdom, but not in the Roman heartland in Italy.[1] In 2023, a dodecahedron in excellent condition was found by amateur archeologists in the small village of Norton Disney in Lincolnshire, UK, bringing the total to 33 such objects found on the territory of Roman Britain.[15] It was on display at the Lincoln Museum, Lincolnshire until October 2024.[16]

The archaeological context in which the dodecahedra have been found is often uncertain.[17] Where it is known, the context is commonly military or funerary;[18] other discoveries have been in baths, a theatre, a coin hoard, and on a riverbed.[17] They were mostly made in Gaul between the second and fourth centuries AD.[19] One dodecahedron was found in a tomb alongside a bone object which might have been a kind of handle; however it was in too bad a condition to excavate and preserve.[20]

Purpose

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The purpose of Roman dodecahedra has been much debated:[21] more than fifty possible explanations have been published.[10] Identifying their purpose with certainty is made more difficult as no mention of dodecahedra has been found in contemporary accounts or pictures.[22] Speculative uses include as a survey instrument for estimating distances to (or sizes of) distant objects, though this is questioned as there are no markings to indicate that they would be a mathematical instrument;[23] as spool knitting devices for making gloves[3] (though the earliest known reference to spool knitting is from 1535,[24][25][26] and this would neither explain the use of bronze, nor the apparently similar icosahedron which is missing the holes necessary for spool knitting); or as part of a child's toy.[3]

Several dodecahedra were found in coin hoards, suggesting either that their owners considered them valuable objects, or that their use was connected with coins — as, for example, for easily checking coins fit a certain diameter and were not clipped.[27] It has been suggested that they might have been religious artifacts, or even fortune-telling devices. This latter speculation is based on the fact that most of the examples have been found in Gallo-Roman sites.[28][29] It has also been suggested that they might have been an object to test the skill of a metalsmith, perhaps as part of a portfolio to demonstrate their capabilities to customers or as a way to qualify for a certain status in a collegium (guild). This speculation is based on the historic cost of bronze and the level of skill necessary to cast such an object.[3] Some 19th-century antiquarians speculated that they might be weapons, such as the head of a mace or a metal bullet, but other scholars have suggested that the dodecahedra are too light to make an effective weapon.[3]

Similar objects

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A Roman icosahedron has also been discovered after having long been misclassified as a dodecahedron. This icosahedron was excavated near Arloff in Germany and is currently on display in the Rheinisches Landesmuseum in Bonn.[30] In 2009, metal-detectorists in France reported the discovery of an object at Saint-Trivier-de-Courtes, similar to the Roman dodecahedra but spherical with triangular and pentagonal holes.[31] A solid silver Roman dodecahedron was discovered in Geneva in 1982; each face is inscribed with the name of one of the signs of the zodiac.[32]

Smaller dodecahedra with the same features (holes and knobs) and made from gold have been found in South-East Asia along the Maritime Silk Road and the earliest items appear to be from the Roman epoch. Examples include those uncovered in Óc Eo, Vietnam, by Louis Malleret, who concluded that the objects represented the influence of Mediterranean trade on the Funan economy.[33] Parallels have also been drawn to Scottish carved stone balls, Gallo-Roman sceptre heads from Sturton by Stow and Suffolk, and a dodecahedron from Ptolemaic Egypt.[34]

References

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  1. ^ a b c d e Guggenberger, Michael (2013-10-03). "The Gallo-Roman Dodecahedron". The Mathematical Intelligencer. 35 (4). Springer Science and Business Media LLC: 56–60. doi:10.1007/s00283-013-9403-7. ISSN 0343-6993. S2CID 122337773.
  2. ^ Hill, Christopher (1994). "Gallo-Roman Dodecahedra: A Progress Report". The Antiquaries Journal. 74. Cambridge University Press (CUP): 289–292. doi:10.1017/s0003581500024458. ISSN 0003-5815. S2CID 161691752.
  3. ^ a b c d e Metcalfe, Tom (August 6, 2018). "The Mysterious Bronze Objects that Have Baffled Archaeologists for Centuries". Pocket. Mental Floss. Retrieved 17 September 2019.
  4. ^ Alexander, James (2023). "A Roman Villa at Newhall, Harlow, Essex". Archaeology International. 26: 212–213. doi:10.14324/AI.26.1.15.
  5. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. p. 148.
  6. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. pp. 148–149.
  7. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. p. 149.
  8. ^ Nouwen, Robert (1994). "Les dodécaèdres gallo-romains ajouré et bouleté. Histoire et problèmes". Bulletin de l'Institut Archéologique Liégois: 89.
  9. ^ Nouwen, Robert (1994). "Les dodécaèdres gallo-romains ajouré et bouleté. Histoire et problèmes". Bulletin de l'Institut Archéologique Liégois: 88–89.
  10. ^ a b Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. p. 150.
  11. ^ Nouwen, Robert (1994). "Les dodécaèdres gallo-romains ajouré et bouleté. Histoire et problèmes". Bulletin de l'Institut Archéologique Liégois: 88.
  12. ^ a b Nouwen, Robert (1994). "Les dodécaèdres gallo-romains ajouré et bouleté. Histoire et problèmes". Bulletin de l'Institut Archéologique Liégois: 92.
  13. ^ Hill, Christopher (1994). "Gallo-Roman Dodecahedra: A Progress Report". The Antiquaries Journal. 74: 289.
  14. ^ Tipper, Samantha (2 May 2024). "Beautifully Crafted Roman Dodecahedron Discovered in Lincoln – But What Were They For?". The Conversation.
  15. ^ Stavrou, A (20 January 2024). "Amateur archaeologist discovers bizarre Roman object that has baffled for centuries". The Independent. Retrieved 20 January 2024.
  16. ^ "Roman dodecahedron that baffled experts stays on show in Lincoln". BBC News. 27 August 2024. Retrieved 28 August 2024.
  17. ^ a b Guillier, Gérard; Delage, Richard; Besombes, Paul-André (2008). "Une fouille en bordure des thermes de Jublains (Mayenne): enfin un dodécaèdre en contexte archéologique !". Revue archaéologique de l'Ouest. 25 (25): 269–289. doi:10.4000/rao.680.
  18. ^ Chimier, Jean-Philippe; Olivier Marlet, Alain Ferdière; Silberstein, Grégory (2024). "Un dé à jouer dodécaédrique en os découvert à Esvres (Indre-et-Loire)". Instrumentum: Bulletin du groupe de travail européen sur l'artisanat et les productions manufacturées dans l'Antiquité. 59: 40.
  19. ^ Duval, Paul-Marie (1981). "Comment Décrire les Dodécaèdres Gallo-Romains, en Vue d'une Étude Comparée" (PDF). Gallia. 39 (2): 195–200. doi:10.3406/galia.1981.1829. JSTOR 43605135.
  20. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. pp. 152–153.
  21. ^ Coombe, Penny; Henig, Martin; Adams, Kurt; Gilmour, Brian; Pearce, John (2020). "The Gloucester Hoard of Roman Bronze". Britannia. 51: 260. doi:10.1017/S0068113X20000501.
  22. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. p. 151.
  23. ^ Sparavigna, A. (2012). "Roman dodecahedron as dioptron: Analysis of freely available data". arXiv:1206.0946 [physics.pop-ph].
  24. ^ von Schmoller, Gustav (1879). "67. Rathsentscheidung in einem Streite der Tuchersunft und der Zunft zum Spiegel. dass das Hosenstricker-Handwerk ze der erstern gehöre. 1535.". Die Strassburger tucher- und weberzunft: Urkunden und darstellung nebst regesten und glossar. Ein beitrag zur geschichte der deutschen weberei und des deutschen gewerberechts vom XIII.-XVII. jahrhundert. Strassburg: Verlag von Karl J. Trübner. Retrieved 27 January 2023.
  25. ^ Rutt, Richard (1987). A History of Hand Knitting (U.S. ed.). Loveland, Colo.: Interweave Press. p. 22. ISBN 0934026351. Retrieved 27 January 2023.
  26. ^ Spencer, David J. (2001). Knitting technology: a comprehensive handbook and practical guide (3rd ed.). Lancaster, Pa.: Technomic. ISBN 9781855737556.
  27. ^ Greiner, Bernhard A. (1996). "Römische Dodekaeder: Untersuchungen zur Typologie, Herstellung, Verbreitung, und Funktion". Carnuntum Jahrbuch 1995 (in German). pp. 9–44.
  28. ^ Henig, Martin (1984). Religion in Roman Britain. Routledge. p. 128. ISBN 0-7134-6047-4.
  29. ^ Kilford, L.J.P. (December 2004). "A mathematical tourist in Germany". Mathematics Today. Vol. 40, no. 6. p. 204.
  30. ^ Artmann, Benno (1999). Euclid – the creation of mathematics. New York: Springer. p. 303. ISBN 978-0-387-98423-0.
  31. ^ Grüll, Tibor (2016). "The Enigma of the Dodecahedron". In Szabó, Ádám (ed.). From Polites to Magos. p. 154.
  32. ^ Maor, Eli; Jost, Eugen (2022). Pentagons and Pentagrams: An Illustrated History. Princeton University Press. p. 115.
  33. ^ Malleret, Louis (1961). "Les dodecaedres d'or du site d'Oc-eo" [The gold dodecohedrons from the Oc-eo site]. Artibus Asiae (in French). 24 (3–4). JSTOR: 343–350. doi:10.2307/3249235. ISSN 0004-3648. JSTOR 3249235.
  34. ^ Nouwen, Robert (1994). "Les dodécaèdres gallo-romains ajouré et bouleté. Histoire et problèmes". Bulletin de l'Institut Archéologique Liégois: 100.
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