PGG wrote in
newsan.2005.02.02.05.04.56.996000@NO_SP_A_Myahoo .com:

I also have a piece of teak wood that is perfectly straight. I may
just use this rather than the cherry.

Cherry is not really a good choice for what you're trying to do. It
doesn't tend to have that straight of a grain, and that introduces the
small stresses that, when cut very thin, take it out of flatness. If
you wet & weight it, as has been suggested, there's a good chance it
will just flex back into the same shape as it dries back out.

Teak might be a better choice. Pattern grade mahogany would probably
be even better (and cheaper than teak).

John