Mathematical definition for Interpolation Algorithms

Huh, I’ve never used the Interpolate Data component before, but the behavior of Cubic doesn’t seem to make any sense, either by the standard algorithm (as presented in Paul Bourke’s website) or @DavidRutten’s explanation

E.g. in the screenshot below, shouldn’t the interpolated interval between t_1 and t_2 be a cubic polynomial that passes through the four sample points circled in blue? It certainly doesn’t look that way though…

cubic-interpolation-oddity.gh (12.3 KB)