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value integration is a fantastic tool to easily simulate simple physique interactions in the video I did to demonstrate how easy it is to create a very basic physic engine I use the naive algorithm to find collisions between objects this allowed to handle a few thousands objects at a reasonable frame rate but what if we want to simulate way more in this video I will present a simple way to greatly improve the performance of the simulation this is a technique I use in all my projects involving physics be it very integration or impulse based solvers foreign the aim of the simulation is to minimize the overlaps between objects two objects overlap if the distance between their centers is smaller than the sum of their radius the value of the overlap is computed by subtracting the distance between the objects from the sum of their radius then we move them along the axis defined by their centers each object is moved half the overlap here is an illustration of this principle applied to multipl