You would think that we cut our finger tips enough for someone to have brought out a bandaid that fits over the top of one’s finger without little raggy ears at the corners, and without having to wrap a second bandaid around the finger to prevent the first one coming off. It’s easy. Here is the necessary design:

The bit at the top comes down over your finger, and the bits at the sides wrap over it and around. The cut-away sides in the middle mean no raggy ears.

Simple. You read about it first here.