The Roman dodecahedron is one of the most debated artefacts of the Roman period. The twelve corner spheres prevent the object from resting stably on any of its twelve pentagonal faces, keeping all apertures permanently unobstructed in any orientation. This paper describes this geometric property, examines its structural consequences, and proposes a connection to Celtic mistletoe symbolism as a possible interpretive framework.
Daniel Seyffarth (Tue,) studied this question.