I think Peter wants to model this kind of thing, used around ships wheels etc as a non slip flooring:
Caillebotis de bateau 98 / 69 cm - antiquites de marine, casque de scaphandrier, meuble de marine, décoration de marine.
A lot of model boats are let down by using plastic moulded gratings.
I'd be tempted to try to fix a lot of small strips of wood edge to edge to a jig and then use a dremel router or some such to cut the halving joints. If you made a lot of these I'm sure you'd end up with sufficient quantities to get atleast one grating!
You could try to make a jig similar to that used when cutting finger joints on a table saw, with a pin which fits into the space cutout by the previous cut, and then move the parts across a notch at a time.
Obviously you'd need a very close grained wood and depending on the size of the strips you might have a varying degree of success.
It'd be a little like an inverted form of this setup:
Song of the Great Lakes - Box Joint Jigs
Edit: Forgot to say - the ship is looking great by the way!