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Plotting a curved path in 2d for a character...

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At the moment i have my character plot a path on the game map of where it is going to go. The human player can then use this to plan their move. The paths plotted are all straight line, from character position to destination. I would like the character to plot a path but put a gentle curve in it. Can anyone think how i can plot a curved path? Also how to control the sharpness of the curve? More Info: I know the start and end points. Its in 2d. There are no obstacles. I don't want any pathfinding.

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