Generally, all described algorithms carry out (repetitively) first the statistically optimized preliminary sortings (with some additional aid of a kind of so called "Genetic algorithms"), and than a quick geometric procedure for compact arrangement of the formed queue of 2D rectangular parts (or 3D boxes) of arbitrary sizes into the 2D sheet (3D container) under the condition known as "Bottom Left" rule i.e. minimizing z, y, x - coordinates in consequence for each next part in the queue, or under any analogous rule. The developed orthogonal arrangement technique permits to test and use some different packing heuristics. This method does not need any type of stripe-, layer-, or wall-building approaches.