The purpose of this Instructable is not to allow you to create a copy of this necklace, but rather to show you the way such jewelry can be made and to allow you to design your own creations.
Step 1: Materials
For tools you will need access to a laser cutter, steady hands, good eyes, stone-like patience, and tweezers.
Wood veneer in two species or two sheets stained in contrasting colors
Varnish or polyurethane
Chain to hang pendant
Good eyes or magnifying loupes
Thirst for punishment
Step 2: Design
Draw your design with manufacturability in mind. Your laser cutter will be unable to produce extremely small wood flecks and you will be unable to manipulate them, so keep your feature sizes reasonable. Typically a minimum feature size of 2mm is good. Also the number of features will dictate how quickly you go insane and give up on the project. Probably less than 20 is a good rule of thumb. If "short attention span" is your middle name, first write your parents a strongly worded letter and then stick to 5 features or less for your design. The pictured design has about 26 pieces depending on how rough you are with the parts which is borderline for a ticket to the rubber room.
Once the design is finalized in vector format, you'll need to account for kerf. Kerf is the material wasted in a cutting operation. In our case, the laser follows the line drawn in the computer file and burns up a certain amount of wood on either side. Since we want a tight fit between two pieces of wood, we need two copies of the design, one offset in and one offset out to account for the wood wasted in the cutting process. The kerf will depend on a lot of factors, including laser cutter focus, power, and speed as well as wood species, the character of the wood being cut, the humidity of the wood, the phase of the moon, and so forth. Experimentation is key here. Probably you'll find that a few fractions of a mm will work. Having a slightly loose fit is better than a tight fit since the thin veneer will not tolerate being forced into place.
Step 3: Cut
Step 4: Assemble
The basic idea is to use a tweezers and some wood glue to attach the pieces to your substrate piece. See the pics. You will find yourself undoubtedly with a jumble of half charred and semi-recognizable pieces that you will be wondering where to put. Take a swig of hooch and dive in. You may find it helpful to apply glue to the substrate with a small paintbrush or cotton swab or to dip the small pieces into the glue directly. There are pitfalls to both as you will discover. Try it out and see what works for you. You'll want to glue up one side at a time if you are doing a double sided pendant, and while the glue is drying it will be helpful to press the part between something flat (like inside a book) to keep the pieces in place and prevent warping. Finally a use for that Thomas Friedman book besides leveling your toilet.
Step 5: Finish
Not so fast.
Forgot to put a hole in the pendant for the chain didn't you? Well it has happened to the best of us. So get out your drill and fine bits and pick a spot on your pendant that looks like a likely place for a hole. Might want to pick a spot where you lost a piece or the glue job is substandard but also consider how the pendant will hang. Drill you hole gently so as to not split the wood or shatter your almost completed pendant and self esteem.
With a hole in place, re-sand, re-clean, and then get ready to apply a finish. You can use a number of finishes. Some people have good success with using super glue (cyanoacrylate) which is supposedly very robust, but it can be a pain to get a smooth surface. We prefer a good quality oil based polyurethane in satin applied by brush. Apply several moderately thick coats, with a little scuff sanding between. Then spray the final coat, potentially touching the shine up with steel wool as needed. Be sure not to full in your hole for the chain. If you do, you'll need to clean it out prior to mounting.
The final step is to apply your pendant to a chain. There are a couple of ways to do that, with a jump ring through your drilled hole (as shown), or threading the chain directly through the hole, or tying your chain in a knot around your pendant, or even gluing your chain into the pendant itself. The best method for you will depend on the type of chain and your pendant design. The presented design uses a jump ring and thin silver chain that is also used to suspend the sun piece. However the chain is glued into the sun piece directly.
Step 6: Final Thoughts and Sales Pitch