Verifying the 3d printing assembled icosahedron

From the software Rhinoceros which I used to draw the 5 tetrahedron to be 3d printed I had already tried if I could get a proper icosahedron but once I put them all together I noticed a little crack. And those were just making a quarter of it. I doubted about the physics of the polyhedron because I couldn't understand how that was possible, so I needed to verify it in the physical world.

What I got was exactly the same figure: not a whole one, but there was actually a crack in it. In a way I was relief because that means I haven't done mistakes cutting and making the tetrahedrons to build the blue icosahedron by hands, but that means also I should divide the icosahedron in another way, with other pyramid with triangle base that are not regular.