These are biscuits.

This is me using a biscuit machine.
This is what the half cresent holes look like. I punched these holes into the two pieces I was connecting so that when you put the pieces together, the holes line up and form an oval shaped hole.
To join the two pieces, I spread glue in one
of the cresent shaped holes and then put
a biscuit (the first picture) in one
of the sides of wood. Then I spread glue over the biscuit and
in the corresponding cresent hole and
push the two pieces together.
The two pieces come together and you have wood joined by biscuits.