The present invention is in the field of manufacturing, processing and design, and also packaging. Nesting is the process of placing objects together with minimal spaces between them. The invention is described below in two forms. The first form, set forth in Part I below, is directed to methods and systems for nesting of two dimensional (2D) objects in a target plane. The second form, set forth in Part II below, is directed to methods and systems for nesting three dimensional (3D) objects in a target volume. The specific details of the preferred embodiments are set forth in those respective parts.