So if you go to ikea and look at their MALM bed it would give you an option. It is a frame supported on the outside and centre with 2 sets of 2.5 ft long 2 x 4 slats with 1 inch spacing between them.
It works pretty good. They also just sell the 2 x 4 slats by themselves if you have your own frame you could modify. The problem with plywood is that it is too flexible. If you look at floors in houses they use 3/4" plywood spaced on 18" centres to create a stiff base.
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