Computing the optimal keyboard through a geometric analysis of the English language

The whole idea of QWERTY is about spreading the most often used characters over the keyboard space in order to avoid malfunctions. This means this layout is not optimized in terms of typing time and yet it is still widely used nowadays by convention. However, the issues it addressed back then are no longer and the non-optimality of this layout is an issue for digital devices. For example, writing on a phone with one finger is harder than it should be with QWERTY. In this regard, here we propose novel keyboard layouts that address this particular issue of reducing the writing time.