After a lot of work and deciding, I have come up with a complete? table of 3x3 mods and their combinations.
Notice the ?. If I am forgetting any, PLEASE mention.
First, I will say what I am not including. If I am not including something, that means that either it is too rare/ not a *common* mod, or it is something with a TON of possibilities (AKA sticker mods).
So here is what will not be in the list:
Sticker mods (this includes turning a slice, and then restickering)
Unique/ irregular/ not common
Restricted turning (slice turn only, 180 degrees on one axis, etc.)
Wall cube types (different layers have different types of pieces. Ex. viewtopic.php?f=15&t=23952
Now here is the list of possible mods.
If all of them are considered equal, and you can have 2 mods per cube, that means there are 121 possible combinations.
However, they are not all equal. For example, if they were all equal, then you could have a Tetrahedron Cuboctahedron. This is not possible.
So I have divided them up into 2 types- shape, and pieces.
So here is that list again, divided into sub catagories (Note that I have divided normal 3x3 into 3x3 and Hexahedron)
Now, you can only choose one from each category. That means there is a total of 35 possible combinations.
I will now list them all. The format will be SHAPE - PIECE. If a combination has a common other name, it will look like this SHAPE - PIECE (NAME)
Hexahedron - Normal 3x3 (3x3 Rubik's cube)
Hexahedron - Fisher (Fisher cube)
Hexahedron - Windmill (Windmill cube)
Hexahedron - Axis (Axis cube)
Hexahedron - Ghost (Ghost cube)
Cuboctahedron - Normal 3x3 (Cuboctahedron)
Cuboctahedron - Fisher
Cuboctahedron - Windmill
Cuboctahedron - Axis
Cuboctahedron - Ghost
Hexagonal Dipyramid - Normal 3x3 (Hexagonal Dipyramid)
Hexagonal Dipyramid - Fisher
Hexagonal Dipyramid - Windmill
Hexagonal Dipyramid - Axis
Hexagonal Dipyramid - Ghost
Half Truncated - Normal 3x3 (Half Truncated cube)
Half Truncated - Fisher
Half Truncated - Windmill
Half Truncated - Axis
Half Truncated - Ghost
Tetrahedron - Normal 3x3 (Master Morphinx)
Tetrahedron - Fisher
Tetrahedron - Windmill
Tetrahedron - Axis
Tetrahedron - Ghost
Octahedron - Normal 3x3 (Trajbers Octahedron)
Octahedron - Fisher
Octahedron - Windmill
Octahedron - Axis
Octahedron - Ghost
Sphere - Normal 3x3 (Ball cube)
Sphere - Fisher
Sphere - Windmill
Sphere - Axis
Sphere - Ghost
Am I missing any shapes or pieces?