The didgeridoos I make are not cut into pieces and then "glued" back together again nor produced on a lathe. Instead, they are hand crafted from one piece of wood, and each instrument retains the original shape of this wood.
I also make sure that the walls of the instrument are thin and have a uniform thickness, unlike "Australian" didgeridoos, whose wall thickness often varies greatly, between 1 mm and 3 mm, making it almost impossible for the wood to vibrate, and hence strongly affecting the sound. (You cannot tell termites how they are supposed to eat their way through the wood)
In addition, each didgeridoo I make has an appropriately dimensioned bell end, which is sometimes very large (up to 35 cm diameter). The natural shape that the wood has grown into usually determines this, and the instrument is crafted to this form accordingly. The interior and exterior surfaces are given a very fine finish, before they are sealed with organically manufactured oils, waxes or varnishes, which helps to produce a very clear and loud sound. This sealing also helps to keep condense water from penetrating the wood and hence prevents it cracking at a later stage.