Trophy Sculptor

Award sculptures for the 3D printer. Set the height first; everything else scales with it. Then pick one of eleven families, engrave the plinth and download an STL that prints upright without support material.

• Eleven families: a crossed lattice cage, alone or with smaller cages nested inside, a flame of turning ribbons, a twisted and leaning stele, a cluster of quartz crystals in a rock half sunk into the plinth, a pile of bismuth hopper crystals with their stepped, spiralling faces, a gnarled tree whose branches thin by Murray's law, a three-phase power transformer with radiators, bushings and conservator on a rectangular plinth, a classic cup whose bowl and knops come to a cone underneath, a slit cone with a slanted rim, an aircraft: a flying wing on a post, or an F-22 standing on its tail, and a graph: a lasso, the shape of every counterexample a model checker returns for a liveness property, or a cube stood on a corner, which grows into a grid with more states along any of its three edges.
• Printability is part of the construction: no surface leans past the overhang limit you set, and a layer-by-layer check confirms it.
• Engraving on the front of the plinth, cut at an angle that also prints without support.
• One part as a single STL, or plinth and sculpture as two parts in two colours, joined by steel dowel pins, a keyed boss and socket, or a wide foot.
• A print-time and filament estimate for a Bambu Lab A1, fitted to Bambu Studio's own, for a 0.4, 0.6 or 0.8 mm nozzle and the volumetric speed your filament manages.