The laws of a Rubik's Cube

[Stefan]

Okay, so let me guess, you can never flip 2,4,5,7,8 corners in the same direction and flip 1 corner in another direction.

False. And more importantly, you're still missing the point.

 

[xXdaveXsuperstarXx]

The point being I suck at cube theory and should get this thread deleted? If so you can just delete this thread. BTW I thought you used to be a moderator?

 

[Stefan]

I'll give you one final hint.

You forgot this law:
You can never flip 4 corners in the same direction and 3 in the other direction.

The point is that I could go on and on and on like this and you'd add more and more and more laws. The list would grow huge. Instead, come up with one general description that enlightens and covers all cases. Or... just read it on Ryan's page which I showed earlier. It's btw the #1 result if you google this thread's title.

Edit: Even if you listed all impossible corner orientation combinations, you'd still only talk about pure orientations. You'd still not cover combinations of orientation and permutation.

 

[Lucas Garron]

*Please* no silly stuff, this is serious.

Then stop posting.

You can never flip ...4... corners in the same direction.

R U2 R' U2' R U R' U' R U2 R' U2' R U R' U'

 

[FredM]

Come on !

You can clearly see what the cube restrictions are when you assemble the cube in a scrambled state. You can have three impossibilities :

Permutation case : Odd amount of swaps (adding edges and corners, considering centers as fixed)
Edge orientation : Odd amount of edges flipped
Corner orientation : Overall orientation of corners not equal to 0 (modulo 360°)

 

[mrCage]

I used the search function and I think it would be helpful to make a thread like this. So I'll say what I know. *Please* no silly stuff, this is serious.

1. You can only flip an even amount of edges.

2. You can never flip 2,4,5,7, or 8 corners in the same direction.

3. You can only do an even amount of swaps.

4. You can only cycle an odd amount of pieces.

5. You can't flip a single corner

Um, I think I got all of them. Is there any more that I'm forgetting?

How about when you disassemble?

Point 3 and 4 are not phrased strictly enough. One can clearly swap only 2 edges (if 2 corners also swapped for instance ...)

Per

 

[fanwuq]

A cube may not injure a human being or, through inaction, allow a human being to come to harm.
A cube must obey any orders given to it by human beings, except where such orders would conflict with the First Law.
A cube must protect its own existence as long as such protection does not conflict with the First or Second Law.

 

[Escher]

A cube may not injure a human being or, through inaction, allow a human being to come to harm.
A cube must obey any orders given to it by human beings, except where such orders would conflict with the First Law.
A cube must protect its own existence as long as such protection does not conflict with the First or Second Law.

This post gets +1 gazillion.

 

[Sa967St]

*Please* no silly stuff, this is serious.

Then stop posting.

+1

 

[krazedkat]

You can never make it so that two or more of the same colour aren't on the same side.

 

[cmhardw]

You can never make it so that two or more of the same colour aren't on the same side.

In all seriousness, I like this train of thought.

Let's make it a little more precise. Assume we have a standard 3x3x3 cube with 6 distinct colors used, and each of the 6 faces having 9 of the same distinct color per face.

Using the above law, can we derive all of the standard laws of the cube? I purposefully do not state the standard laws, as the thread is still leading others to correctly state these laws. I do not want to spoil this. Perhaps those working on this new question I am proposing can use spoiler tags?

Spoiler

I am wondering if this law, as stated by krazedkat, is enough (given my assumption above) to actually derive all of the standard laws of the cube. This problem interests me, I might take a look at this a little more seriously in my free time this weekend.

Chris

 

[Jigsaw]

A cube may not injure a human being or, through inaction, allow a human being to come to harm.
A cube must obey any orders given to it by human beings, except where such orders would conflict with the First Law.
A cube must protect its own existence as long as such protection does not conflict with the First or Second Law.

lol we all know how flawed these laws are

 

[shelley]

4. You can only cycle an odd amount of pieces.

No.

 

[rahulkadukar]

Golden Rule:

You cannot flip one Edge

 

[shelley]

Golden Rule:

You cannot flip one Edge

Or one corner. You also cannot swap only two pieces.

 

[happa95]

A cube may not injure a human being or, through inaction, allow a human being to come to harm.
A cube must obey any orders given to it by human beings, except where such orders would conflict with the First Law.
A cube must protect its own existence as long as such protection does not conflict with the First or Second Law.

Yay for isaac asimov references!

 

[*LukeMayn*]

We seem just to be stating the obvious in this thread :/

 

[cmhardw]

Golden Rule:

You cannot flip one Edge

Not to be a complete stickler for semantics, but I completely disagree. I can easily flip the UF edge using U' R' F'. Now, doing so has a massively destructive side effect to the other pieces, but I have flipped the one edge I intended to. Please phrase your laws more precisely.

Chris

 

[JLarsen]

Yeah, so if you multiply that number buy 2, if it's legal it should be divisible by 3. So if you multiply 2, 4, or 5 by 2 it won't be divisible by 3.

As Pochmann was nudging at here, you need to succinctly summarize the laws of the cube, but you cannot do that, as you have purely memorized laws, rather than understanding the reason behind them. I don't pretend to think I understand all the reasons, but then again, I don't make threads such as this.

Golden Rule:

You cannot flip one Edge

Not to be a complete stickler for semantics, but I completely disagree. I can easily flip the UF edge using U' R' F'. Now, doing so has a massively destructive side effect to the other pieces, but I have flipped the one edge I intended to. Please phrase your laws more precisely.

Chris

I.E "You cannot flip one and only one edge." Or, "You cannot have one edge flipped while the rest of the puzzle in a solved state"

 

[daniel0731ex]

three laws of cubing:

1. the best and worst solve will appear at the same time
2. others' cubes always turn better than yours
3. discount happens just after you bought it


i saw this on PTT