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Is there a standard for this? Algorithm name?
Say:
I have 10 polygons of different sizes.
I have an area of specific size.
I want to know how to fill the most polygons in that area, and how they are fitted.
Note:
Polygons may be rotated depending on the restriction set.
One possible name is a Packing Problem. It is related to the Knapsack Problem. These problems tend to be NP-hard, and many require heuristics. If you can constrain the allowed forms of polygons and of the area, there may exist a more efficient algorithm for your special case.