About two months ago my wife and I bought a little decorative lantern, the kind you put a votive candle into, and it’s in the shape of a stellated dodecahedron, that is,
a twelve-sided polyhedron, with pentagonal faces, except that each face is covered by a five-sided pyramid.
So I was looking at it, and figuring out how many separate
faces it has, and I came up with 60. The underlying dodecahedron has 12 faces with 5 sides each. The whole polyhedron could be constructed by an intersection of five five-pointed stars. The outline of the stellated dodecahedron, seen from across the room, looks like a 6-sided Star of David, which itself, is composed of two
triangles.
So in this one object we have all these numbers represented:
2,3,5,6,12,60–all of which are factors of 60. This is in
itself interesting, but I’m thinking that somewhere one ought to be able to find a manifestation of the other two
factors 15 and 30.
Maybe this is a General Question?