About B-splines. Twenty answers to one question: What is the cubic B-spline for the knots -2,-1,0,1,2?

Abstract

In this composition an attempt is made to answer one simple question only: What is the cubic B-spline for the knots -2,-1,0,1,2? The note will take you on a most interesting trip through various fields of Mathematics and finally convince you on how little we know.