Roman Dodecahedrons: Cracking an Enigma

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Roman dodecahedrons are puzzling artifacts from antiquity. Over the years, dozens of theories about their function have been proposed, but their purpose remains unknown. Can we reason our way through the fog of mystery surrounding these curious items?

=== Sources ===

Thanks:
M. Guggenberger for the data from his upcoming book
A. Chaniotis for his help with 12-sided dice

Books:
Sortes Sangallenses - H. Winnefeld
A history of Hand Knitting - R. Richard
Anastasis Childerici I. Francorum Regis - J. J. Chifflet
Roman Dodecahedra - M. Guggenberger
https://www.amazon.de/Die-r%C3%B6misc...

Papers:
Gallo-Roman Pentagon-Dodecahedrons - R. Nouwen
The Hepu Han Tombs and the Maritime... - X. Zhaoming
A propos de trois récentes acquisitions... - C. Delacour
Sui dodecaedri d'oro di Oc-eo - M. Spagnoli
A Dodecahedron of Rock Crystal from the - A. Chaniotis
Le jeu Alexandrin de l'icosahedre - P. Perdrizet
Early Gold Ornaments of Southeast Asia - M. Demandt
Cultural Interactions in Mainland - Hsiao-chun Hung
Maces From The National Institute... - S. Popov
A 14th century Hungarian knobbed mace... - A. Michalak
Roman Dodecahedron as dioptron - A. C. Sparavigna  
A Systematic Comparison of Perceptual ... - A. C. Zoeller, K. Drewing

YouTube:
Making A Bronze Roman Dodecahedron
How to use a knitting Nancy
Solved? The Roman Dodecahedron
Video
Video
The Roman Dodecahedron - An ancient myster...
The Enigma of the Roman Dodecahedron is So...
В Помпеях нашли "сокровища ведьмы"
Knitting with a Roman Dodecahedron
Hypothese Romeinse Dodecaeder - Sjra Wagemans
Perfect Knitted Gloves +Malabrigo Kal + Ne...
The Enigma of the Roman Dodecahedron is So...
Monty Python - Agatha Christie Sketch
Hypothese Romeinse Dodecaeder - Sjra Wagemans

Websites:
http://www.ancientresource.com/lots/r...
https://ancienttouch.com/gaming%20ast...
https://brewminate.com/using-homer-fo...
https://www.worldhistory.org/image/12...
https://atomicshrimp.com/post/2013/03...
https://www.ravelry.com/patterns/libr...
https://timevaultgallery.com/bronze-a...
https://collections.vam.ac.uk/item/O9...
https://www.keystonecandle.com/
https://betweennapsontheporch.net/
https://citizensustainable.com/wax-bi...

Images:
Roman sundial in the Temple of Apollo, Pompeii, Italy - d0gwalker (Flickr)

Wikimedia Commons:
John William Waterhouse - Consulting the Oracle - Christie's.jpg
Didymaion front AvL.JPG
Bronnikov gimnpifagoreizev.jpg
An anatomical illustration from Sobotta's Atltomy 1909
1620px-Mawangdui_Han_Mitts_(10113103185).jpg
Rings and Jewelry in_018023.jpg
An_Enigma_Cipher_Machine_-_geograph.org.uk_-_6740732.jpg
Silver_coin_hoard.jpg
Heart-shaped spear head found in the gladitury CE.jpg
Men_sowing_seed_(3465701854).jpg
The vegetable market (1874), by Franz Meerts.jpg
Ancient_Roman_sundial_Berlin.jpg
Strasbourg-Koenigshoffen,_Second-Century_ca._160_CE.jpg
2560px-Skulptura_boga_Jupitera_Dolihena.jpg
Wall_painting_-_Hermaphrodite_with_satyr_and_maenad.jpg
Saalburg_Roman_Fort,_Limes_Ger.png
Taunusstein_-_Limes_Wachturm2.png
A_cast_copper_alloy_openwork_probable.jpg

Content
00:00 Start
01:28 Overview
02:15 Influences
05:26 Details & clues
08:00 Hole size analysis
09:35 Theories
23:02 Ideas
28:29 Conclusion