Mahoney,
That works pretty easy for a 10" bowl with eight segments, but is a bit trickier for the tiny wedges on a knife handle...but makes a really good looking handle.
To make an eight segment checkerboard handle ( I have done it):
For your project you want red and white checks. Some choices might be maple and paduak, or red dyed maple and natural maple. Red dyed holly and natural holly would be a really good choice.
Whatever you choose, get two 3/4" thick boards of contrasting wood colors. They should be 12" long by 6" wide.
Divide the number of segments into 360 degrees to find the apex angle....which comes out to be 45 degrees.
Set the blade angle on the table saw to 22.5 degrees. By flipping the board over on every cut, you will cut 45 degree wedges. Edge glue the handle wood to a 6-8" wide piece of scrap wood, so you can safely cut up all the strips without loosing fingers. Cut with the grain and make 12" long wedges from both boards.Use a sharp, fine tooth blade. To make one cylinder you only need four of each color strip. I would suggest cutting up the entire piece, giving you a stack of each color strips, and making several handle blanks. Murphy never sleeps.
Get some good grade laminating glue. Tightbond III or a clear epoxy like System 3 or West Systems are good choices. If using epoxy, use the slow set type.
Put on some rubber gloves ( you will get covered in glue), and work over a piece of scrap plywood...... preferably outside.
Place two strips of masking tape, sticky side up, on the work surface about 6" apart. Set eight wood wedges on the tape alternating colors. Apply a liberal coat of glue to the strips, and roll up the assembly. Rubber band the assembly and work the wedges snugly together with your fingers. Don't worry about the center being perfect, just make the wedges go tight together. When all is right, set aside to cure. Make the other assemblies the same way. Let cure for 48 hours. Grind off the tape and rubber bands and leave the cylinders roughly round. Cut each into 3" sections.
Here is a great trick for center drilling any wood block or cylinder:
Mark the desired drilling spot on both ends of the handle blocks.
Put the desired size drill bit in the drill press and drill a 1/2" deep starter hole in one end of each piece being drilled.
Now, clamp a block of scrap wood in the vise. Drill a 1" deep hole in the wood. Place a 1.5" piece of brass rod (the size of the drill bit) in the hole.This leaves a 1/2" peg sticking up. It is a good idea to chamfer the ends of the peg. Place a handle block on the peg, using the starter hole, and drill from the other end to a depth of just over half the block length. Flip the block around and drill the hole the rest of the way. You will get a perfect center hole with no drift.
BTW, this is the only good way to drill a bowie handle at an angle or to drill out stag tapers and crowns.
Do the above technique with a 1/4"drill bit. Purchase a 1/4"dowel in a color that matches, or contrasts, with the wood you laminated up. The dowel will be the new center of the handle block, when assembled.
OK, now you have a pile of center drilled cylinders and a dowel. Go to the band saw, and slice the cylinders up into rounds that make the colors wedges squares. They will be somewhere around 1/4" thick slices. Test fit to the dowel. They should be a smooth sliding fit...you do not want a tight fit. Sand the dowel if needed.
Assemble enough slices on a 12" dowel to make a 6" cylinder, apply glue liberally, and snug them up to each other. Rotate the slices carefully to make the checkerboard. Drill out two scrap blocks and slip on the dowels, and clamp the assembly. Double check the alignment and adjust any checks that are not right. Let cure in the clamp overnight.
Within reason, you can make the checkerboard cylinder any length you wish when doing the final glue-up, but 6" works best for most knife handles.
This works well with ebony/holly, maple/walnut, maple/paduak, maple/cocobola, etc. If using cocobola or ebony, wipe down with acetone just before glue-up.
Once the checkerboard handle blank is cured, grind the surface smooth and look at your stunning cylinder.
If using the block as scales, edge glue it to a scrap board, and slice it in half on the band saw or table saw.
If making a hidden tang knife, leave a short stub of dowel sticking out on one end if possible. Go back to the drilling jig, and stick the dowel in the hole, and drill out the center as deep as needed for the hidden tang. Cut off the dowel stub and sand the end smooth.
This sounds a lot harder that it really is. It is mostly just repetition, and that is why making a batch of handle blanks at one time is a good idea.
OK, lets see those new checkerboard handle now.