I assume specifically modelling the geometry's not your issue.
Basically -- there's a few things you're going to need to do: (Maya Software/Mental Ray only)
1) You're going to need to go into your render globals and click on the menu "Raytracing Quality" then check "Raytracing" (use the sliders to decide how many reflections you wish -- 1 is generally default and basically allows for 1 mirror, you may need it higher -- but probably not.) -- the process here may be different for Mental Ray.
2) On ALL your objects you need to click "visible in reflections" under "render stats" menu in the Shape tab ("pSphereShape1" for instance)
3) Whatever you wish to be reflective -- you either 1) need to create a new shader or 2) need to use a grey-scale map to decide what parts of the model need to be reflective (I believe white is pure reflective and black is nonreflective -- NOT TO BE CONFUSED with Specular.)
Click render and see it go.