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Avoid Spheres Penetrating Each Other

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hi , I have 8 to 10 Spheres in my game . One is Under My control and rest are Automated. What I m doing is , each sphere has it vector .i m passing a delta in each iteration . What i want is , i wanna apply sliding to my sphere if it is collided with rest and if any other sphere is collided with other then they should not penetrate.

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