Cubes with parity?

[suushiemaniac]

Hey Folks,
I recently encountered a "problem" which I need help with. I want to create a collection of Images showing Cubes in their parity form. But therefore I obviously have to know which Cubes have got parity cases. Here's the list of Cubes which I've found so far:
-All BigCubes (4x4, 5x5, ...)
-Square-1
-3x3x3 Rhombic Dodecahedron
-Rubiks Tower
-CurvyCopter Cube
-Rex Cube
So if you know any other Cubes which have got a parity case, please post them here. ATTENTION I do NOT want the solution to the parity case but I just want to know IF there is a parity.

 

[ben1996123]

3x3x4

 

[cuberkid10]

I know you have the Curvy Copter up there, but Helicopter cube also has "parity".

 

[Renslay]

Depends on what you call a parity. What if I solve a 4x4x4 in a way that there isn't any parity? And what about the classic 3x3 BLD parities?

 

[GregTheCuber]

Void cube also has a parity.

 

[ben1996123]

NxNxN+1, N>2

 

[Renslay]

Sheperd's Cube has also different kind of parities.

 

[irontwig]

2x2x2

 

[LNZ]

I do own many cuboids.

Parities can be seen in 2x2x4, 2x2x6, 2x2x8, 3x3x4, 3x3x6, 2x3x4 and 3x3x8.

I don't own a real 2x2x6, 2x2x8 or 3x3x8 cuboids.

These are emulated through Shengshou 6x6x6 and Shengshou 8x8x8 cubes.

I have just received my black MF8 FF 2x3x4 cuboid. It is a really good product.

 

[Kurbitur]

master pyramorphix

 

[benskoning]

FTO has one too.

 

[TMOY]

Depends on what you call a parity. What if I solve a 4x4x4 in a way that there isn't any parity? And what about the classic 3x3 BLD parities?

For me, a "parity state" in this context is a state in which at least one orbit of pieces is in an odd permutation state, and a given puzzle "has a parity" if it is possible to reach a parity state from the solved state without disassembling the cube. At least it seems to me the most reasonable definition.

With that definition, there are really lots of puzzles which have a parity. It would probably be shorter to list those which haven't

 

[ben1996123]

FTO has one too.

not for me.

 

[vcuber13]

For me, a "parity state" in this context is a state in which at least one orbit of pieces is in an odd permutation state, and a given puzzle "has a parity" if it is possible to reach a parity state from the solved state without disassembling the cube. At least it seems to me the most reasonable definition.

With that definition, there are really lots of puzzles which have a parity. It would probably be shorter to list those which haven't

that doesn't work for some puzzles though, such as a scrambled sq1