Algorithm demonstrates construction of volumetric 3D puzzles from geometric models, suggesting new designs for 3D printing.
We present a simple algorithm for synthesizing volumetric 3D puzzles from a 3D freeform geometric model represented volumetrically as trivariate NURBs functions, M. The construction algorithm is based on the functional composition of puzzle elements, positioned in the domain of M, with M. The puzzle elements can be (heterogeneous) freeform polygonal models or freeform surface or trivariate functions and of arbitrary shape, and can include added joints to neighboring puzzle elements. The proposed approach is demonstrated via several examples of such volumetric puzzles, 3D printed and assembled.
No takes yet. Share an insight, caveat, or question.
Gershon Elber (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: