The continuity of splines. How do you make that road or roller coaster in a video game follow a nice, smooth curve? Cubic splines are almost always the way computers make curves. How do you make the smoothest, most "continuous" curve? This video goes into the mathematics of cubic splines, with both an overview of splines in general and examples of a number of specific types of cubic splines, all gorgeously animated by Freya Holmér.
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