After recognizing this problem, I had to come up with a solution that allowed the family hands to move behind the clock face. I chose to cut a set of rings, each with an inlet sticking out from it (to put picture in), that could rotate around a housing I re-purposed from another clock body. I attached this housing to the back of the clock with an epoxy. The housing ended up having multiple purposes: it keeps the rings centered, protects the quartz mechanism, and can be used to hang on hooks.