Parametric box

designed to be cut from plywood with a lazer, but may be manufactured in other ways:
print out on paper, glue to plywood, and cut around a line
print small version on 3d printer

#recomendations
I have this box laser cut from plywood with positive tolerance of 0.3. With this setting gaps are present and you need a glue to keep parts together and assembly process is finicky.
I recommend lowering tolerance to 0.1 or even lower

#there are several display modes:

mode = "assembled"
walls and floor are arranged into a box configuration

mode = "unfolded"
walls are laid flat

mode = "optimized"
walls are laid flat and arranged to minimize waste

**mode = "projection"**
same as optimized but added a projection for dxf export

#parameters:
width, length, height parameters are outer dimensions of the box
thickness is thickness of the material
tolerance is subtracted from the width of the teeth, negative value for tighter fit

teethW, teethL, teethH - number of teeth