The degree `n` B-spline basis function can be obtained (up to scale and location) by the `n`-fold convolution of the indicator function on [0,1]. It is also, th

The degree `n` B-spline basis function can be obtained (up to scale and location) by the `n`-fold convolution of the indicator function on [0,1]. It is also, therefore, the pdf for the sum of `n` uniform random variables, i.e., the Irwin-Hall distribution [1]. I have no idea if these facts are useful, but I've always found them interesting. [1]: https://en.wikipedia.org/wiki/Irwin%E2%80%93Hall_distribution https://en.wikipedia.org/wiki/Irwin%E2%80%93Hall_distributio...