The icosahedron and dodecahedron are duals of one another: each vertex of one corresponds to a face of the other and vice versa. All convex polyhedra satisfy the property that V + F = E + 2, and since the dual polyhedron conserves the quantity V + F, consequently, dual polyhedra have the same number of edges.
https://en.wikipedia.org/wiki/Roman_dodecahedron#/media/File...
it's interesting that one has no holes but varying sized corner knobs instead, and 20 faces instead of 12
the objects seem related, but the purpose of the latter can't have anything to do with candles presumably