I just wanted to confirm that my aquarium does indeed have 1/2" glass. Not sure how thick the bottom is because there is no way for me to measure it since there is a plastic "frame" around the base. I imagine it is 1/2" as well. I am always paranoid when moving the rock because I'm afraid to scratch the bottom glass, thus creating a weak spot. If it were me, I'd go with 1/2" on the sides and either thicker for the base just for the peace of mind. You will be having hundreds of points of rock resting on a very tiny fraction of the surface area on that bottom piece, the size of a few pinheads. I suppose if you were to cushion the rock and evenly distribute the load, then you'd be fine with 1/2" glass.
Here's the answer to your question regarding the base. Is it cheaper to buy the 5/8" glass, or cheaper to have the base fall through when your aquarium is fully stocked with precious fish and corals? Sounds absolutists and perhaps harsh, however, I'm just saying that because my 1/2" base seems like it is going to fall through at any moment - although I have never heard of this happening before anywhere else, but always get very nervous. Murphy's law?
Jeff