Cubes Dissected into Identical Parts

thingiverse

Five simple divisions of a cube into two or four congruent parts occur. The first three divisions are of a cube consisting of eight units, that is a 2x2x2 cube. Each divided part consists of four cubes. Two of the three parts are mirror images which nest with themselves but not with the other hand. Two additional divisions are of a cube made up of sixty-four units divided into four parts. The code for OpenSCAD includes the following settings: Print Settings Printer Brand: MakerBot Printer: MakerBot Replicator (5th Generation) Rafts: Doesn't Matter Resolution: 0.3 mm A puzzle could be set by mixing the six pieces obtained by dividing the eight unit cube and asking that they be assembled into three cubes. There is a single solution to this puzzle, as the mirror image pairs do not form cubes.