Abstract: A method of additively manufacturing a minimal surface structure of a three-dimensional article includes a computer executing the steps of recording, in the computer, an envelope of the three-dimensional article; generating a density field across a volume enclosed by the envelope with densities of the density field corresponding to local requirement values of at least one physical parameter at respective positions of the three-dimensional article; generating an adaptive Voronoi tessellation of the volume using the density field; generating a first skeleton graph associated with the adaptive Voronoi tessellation; generating a second skeleton graph associated with the first skeleton graph; and generating a digital minimal surface model from the first and second skeleton graphs. The method may further include a 3D printer additively manufacturing the minimal surface structure according to the digital minimal surface model.

Abstract: The present disclosure relates to a method for the lightweighting and/or designing of an additively manufactured article. The disclosure further relates to a computer program product adapted for executing the method of the present disclosure as well as an additively manufactured article obtainable by the method according to the present disclosure. The method includes the step(s) of infilling and/or building each of the one or more integral article parts with a quasi-crystalline structure. The additively manufactured article obtainable by performing the method includes a quasi-crystalline structure and/or a quasiperiodic minimal surface infill and/or quasiperiodic minimal surface design structure and/or aperiodic minimal surface design structure and/or aperiodic minimal surface infill. The disclosure further relates to a method of use of a skeleton graph for a preprocessing in an additive manufacturing process.