# Thread: Parity on higher order puzzles.

1. Originally Posted by Kirjava
I know, but I don't know why you gave 3x3x3 as an example of a base puzzle when 2x2x2 has a lower order than it.
Maybe because it's a more common puzzle?? Ok, then 2x2x2 is a lower order 3x3x3 :P

Per

And i believe the 3x3x3 was invented before 2x2x2 right?? Or at least was released before it

2. Not trying to be facetious, but then how do we determine what the base puzzle is? Is the megaminx just a lower order gigaminx?

3. Originally Posted by JonnyWhoopes
Not trying to be facetious, but then how do we determine what the base puzzle is? Is the megaminx just a lower order gigaminx?
Correct! Teraminx is higher order gigaminx (or megaminx). Petaminx is higher order teraminx (or etc ...)

Per

Then what is flowerminx?? ...

4. Originally Posted by mrCage
Maybe because it's a more common puzzle??
Originally Posted by mrCage
And i believe the 3x3x3 was invented before 2x2x2 right?? Or at least was released before it
These are both very silly reasons.

Your definition of "base puzzle" and "higher order puzzle" is arbitrary. Nothing wrong with this, it just makes it somewhat meaningless.

5. Originally Posted by mrCage
Correct! Teraminx is higher order gigaminx (or megaminx). Petaminx is higher order teraminx (or etc ...)

Per

Then what is flowerminx?? ...
So, you're pretty much just asking "what puzzles have parity" right? If we have no definition of a base puzzle, or what higher order means, then this is what it comes down to.

6. 2x2x2 and 3x3x3 are small cubes or "lower order cubes". 4x4x4+ are higher order or big cubes. Megaminx is what we started with so I assume that is what you mean by the "base" puzzle.
Originally Posted by mrCage
Correct! Teraminx is higher order gigaminx (or megaminx). Petaminx is higher order teraminx (or etc ...)

Per

Then what is flowerminx?? ...
A flowerminx is a 2x2x2 dodecahedron. The creator decided not to use the mathematical term I guess. The real name for it would be "whatever comes before mega" and minx.

ON topic:
OLL edge parity: Only even numbered cubes
PLL parity: Only even numbered cubes.
OLL corner parity: Uh... only pops?
Edge paring parity: All big cubes that involve edge pairing. (This means "cubes" not other twistypuzzles like dodecahedrons).

If I missed anything about regular cubes, please add on.

7. Originally Posted by oddlespuddle
2x2x2 and 3x3x3 are small cubes or "lower order cubes".
Why?

Originally Posted by oddlespuddle
A flowerminx is a 2x2x2 dodecahedron. The creator decided not to use the mathematical term I guess. The real name for it would be "whatever comes before mega" and minx.
Kilominx is something else.

8. Originally Posted by oddlespuddle
OLL edge parity: Only even numbered cubes
PLL parity: Only even numbered cubes.
OLL corner parity: Uh... only pops?
Edge paring parity: All big cubes that involve edge pairing. (This means "cubes" not other twistypuzzles like dodecahedrons).
These are assuming reduction method, though, which not everybody uses. Because PLL parity isn't parity at all, and what you are referring to as "OLL edge pairty" and "edge pairing parity" become the same thing.

9. A pretty good rule of thumb is that any turn of 1/(2n+1) of a full rotation can't cause parity (whereas turns of 1/(2n) can). So, any higher-order Pyraminx, Megaminx, Dino Cube, Skewb, and so on can't have parity, in the sense of being able to do a pure 2-cycle without affecting any other pieces.

10. I think you mean any other pieces of the same orbit, or else the corners+centers parity of the 4^3 for example wouldn't qualify as a parity.

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