--- title: "Nesting algorithm" chunk: 1/1 source: "https://en.wikipedia.org/wiki/Nesting_algorithm" category: "reference" tags: "science, encyclopedia" date_saved: "2026-05-05T12:16:42.083495+00:00" instance: "kb-cron" --- Nesting algorithms are used to make the most efficient use of material or space. This could for instance be done by evaluating many different possible combinations via recursion. Linear (1-dimensional): The simplest of the algorithms illustrated here. For an existing set there is only one position where a new cut can be placed – at the end of the last cut. Validation of a combination involves a simple Stock - Yield - Kerf = Scrap calculation. Plate (2-dimensional): These algorithms are significantly more complex. For an existing set, there may be as many as eight positions where a new cut may be introduced next to each existing cut, and if the new cut is not perfectly square then different rotations may need to be checked. Validation of a potential combination involves checking for intersections between two-dimensional objects. Packing (3-dimensional): These algorithms are the most complex illustrated here due to the larger number of possible combinations. Validation of a potential combination involves checking for intersections between three-dimensional objects. == References ==