Take a cube of wood (you may want to start small) and cut off the corners until you have a semi-spherical ball. Then, sand it down to smooth it into a smooth ball. For the hexagonal shapes, you could carve the pattern on the surface, approximately 1/5-1/6 of an inch deep, then smooth the sides of each to create the puffy pattern.
Make sure you talk to a professional craftsman- they will help you pick the right tools, as well as how to safely use them. If you are in school, a wood-shop teacher may be able to help you- it will save you money because the teacher has plenty of class equipment you can use.
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First, draw a circle.
Next, start drawing squares on the side of the circle.
Last, draw a square in the middle of the circle.
You cant really, but anyway just start with a small ball of paper then get bigger and keep wrapping it over and use a lot of selotape.