I'm working on my sofa tables, getting down to the bottom of my mahogany
pile and don't want to buy more at the moment.

I need two center supports, each 14 1/2 wide by 20" tall x 2 1/2"+- thick.
I had planned to attach solid mahogany strips, 3/4" thick to a poplar frame
but don't think I have enough mahogany stock for that. However, I have some
12/4 offcuts that I could resaw and glue those to 1/2 or 3/4 ply, attaching
the ply to the frame. The resaw pieces woild be a maximum of 1/4" thick,
quarter sawn.but I could make them thinner, no thinner than 1/8".

My question is, what is the maximum thickness I could use for the resawn
pieces?