First, pick your material. Plywood is a good starter, and many professionals use nothing else. Apparently beech ply is good, but we are just exploring the possibilities so find a piece of strong ply large enough for your planned design, and about a quarter to half an inch thick.
For tools, you will need a saw capable of cutting complex curves in your ply (such as a coping saw or scroll saw), a selection of rasps and files and sandpaper to finish the shaping. If you can, get a range of "grits", rough to smooth. Clamps or a vice of some description would also be useful.
- Or you can use what I did, which was a jigsaw and a dremel.
At the testing stage, you may find it useful to treat your boomerang with sanding sealant, to stop water and mud spoiling the wood.
To finish, you will need a tough, waterproof varnish. You may also wish to paint your boomerang, or add your contact details, just in case you lose it.
- I bought a sheet of beech-faced ply from a local hobby store. With careful planning, it should be enough for about four boomerangs, which makes the raw material cost of them at around a pound each (roughly $2).