I searched the forum and it turns out that we don't have definition for mixup puzzles (or I failed to find one). Any other kinds have their own strict definitions (doctrinaire, jumbling etc.), so I thought mixups also need one. Here's my attempt.
Firstly, let's define two things.
I mean group of pieces that move together while rotating by given axis. This one is obvious, ex. FULRBDMES in Rubik's Cube.
Second definition: atomic twist
- the shortest twist after which other moves are possible
Now, my idea is something like this: Mixup puzzle
- puzzle where layers on the same axis have different atomic number.
Let's take 3x3x3 cube and Mixup Cube.
Both have 3 layers per axis. But in case of 3x3x3 each one have atomic number 90° when on Mixup Cube middle layer has 45°.
That definition would work but the problem is that the Doctor Skewb has only one layer per axis (it's slice only mixup master skewb). So one needs to find better one or makes above one more precise. Any ideas?