1. A method performed by a three dimensional (3D) modeling program on a computer comprising a processor and a memory, the method comprising: calculating a radius of incidence for respective pairings of three or more beams of different sizes that converge at a junction in a lattice; determining a maximized radius of incidence for each of the three or more beams based on the radii of incidence for the pairings with each respective one of the three or more beams; comparing the maximized radii of incidence to find a global radius for the junction; calculating local intersection points and global intersection points, respectively, for each of the three or more beams with a local sphere defined by the maximized radius of incidence for that beam and with a global sphere defined by the global radius for the junction; generating meshing with sockets for the three or more beams at the junction using the local intersection points and the global intersection points; connecting the three or more beams with the sockets at the junction to form a mechanically robust structure for the lattice; and additively manufacturing the mechanically robust structure for the lattice.