I started building my own grow boxes last year. I use 4 pieces of cedar (I use cedar because I like the look and figure it will last a little longer than pine or fir), the size depends on how big a box I need, and I glue/nail them to make a square. Then I staple ordinary fiberglass window screen over the bottom and then a layer of hardware cloth (Galvanized Wire Mesh) over that for strength (the screen by itself it not strong enough). Then cut triangles (just cut corners off of the same wood as the sides) that I attach to the bottom corners (feet, adds strength to the box and bottom). They are really quick and easy to make (not to mention cheep), and I can drill holes anyplace I need to attach wire for securing the tree.
Nice part is I can make them virtually any size I might need. I think my biggest is 16" (40cm) across. I expect if I make any much bigger than that I will probably have to add some extra support across the bottom.
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BTW I also built a tall narrow one for a cascade juniper I am working on, but don't have a pix of that.