Madomado
Madomado, also known as Mado, is not a mado (窓, Japanese for "window"), and has nothing to do with mados. Mado is responsible for partially the development of Ultramarine Linux. Consequently, after the acquisition, Mado is a DevOps Engineer in Fyra Labs and is responsible for numerous projects, most notably Terra, Andaman, and Madoguchi.
Madonuko
Mado's original character is Madonuko. Madonuko is not a mado, and has nothing to do with mados. Instead it is a nuko (ぬこ, Japanese slang for "cat").
Madomado is not Madonuko, because if Madomado is Madonuko, mado is nuko, and thus mado is nuko (a window is a cat). But, mado is not nuko (a window is not a cat), so Mado's assumption is false. (Proof by contradiction) However, Mado is an element of the set nuko. In other words, Mado is a nuko.