Rubik's Cube Solution
posted by Rajesh Lal at
10:25 PM
Monday, August 25, 2008
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25 Comments:
One.None of the middle pieces can move
I agree to leslie, there is definitely only one solution to solve it. You can 'rotate' the middle pieces, but not for all faces at the same time...
you are both wrong. and the answer is.... there is an infinite amount of solutions. they dont specify the demensions of the particular cube. it could be a 2x2 or a 1,000,000,000x1,000,000,000
for example, the 20x20 rubiks cube has(and the ^, means "raised to the power of") (4!)^405 * 2^162 * 3^81
thats a whole lot more of combos then 1...
P.S. i can solve the rubiks cubes too! haha
anonamous is wrong, it does mot matter what the demensions are it still has 6 faces and has the same solution weather its a 2x2 3x3 4x4 or 5x5 the the colors on the edges and corners remain the same
the middle pieces can "move", they rotate, so the center pieces are not always orientated the same way.
Try solving the "super Cube", the cube with pictures, instead of color faces. You will notice that even though u can solve it the normal way, the centre pieces move. so you need an additional move. I call it the "change the face move"...shrugs
~Cybersurf~
im gunna guess 216 lol acctualy not a guess there was working out.
It doesn't matter the size of the cube, or whether the middle pieces move or rotate - the question asks how many possible solutions there are, stating that it is solved when each face has the same colour. There is only 1 solution - when each face has only one colour.
There are 4,096 possible solutions.
There is only one possible position and orientation for each of the edge and corner pieces, however each of the center squares can be in any one of four positions (90 degree turns) and the cube will still be considered "solved".
Four possible positions for each of the six sides (4^6) comes to 4,096 possible "solved" orientations.
There are billions of ways to solve the rubic's cube.
One
i think the third guy who posted went over the top and tried to act to smart. no matter wht dimensions it still has six faces. cube is only solved once all faces have the same color.
my guess is 1 solution. this is not a thinking question but its more obvious.
1 possible solution per cube.._..._..._
|_| |_| |_|
......_..._..._
|_| |_| |_|
......_..._..._
|_| |_| |_|
If you consider faces to be in respect to an absolutely stationary center of the cube, there are 6 solutions--
although the center pieces can occupy any face (all 6 faces, not just the four, btw) the colors must always stay in the same relation to eachother (red must always be opposite of green, for example). If this were not true, and the colors could move independently from eachother, the answer would have been 720 (6!). But since they cant, you can simply say the number of solutions is the number of faces any one reference color can occupy, which is 6.
In truth however, a face is the surface of the cube, irrespective of how the cube is oriented. Therefore those 6 solutions i just mentioned are in fact the same solution.
The technical answer is one. If you dont believe it look at a Rubik's cube package, or their website for that matter.
I think everyone missed the point. It is "solved" when the sides match, (as said), but the solution is taking it from a current state to the solved state. The number of solutions depends on how many possible states there are.
And then each possible beginning state would have its own solution.
If there are 4096 possible states, then one of these is an "Aleady Done" state, leaving 4095 solutions.
Its good to know that there are some retarded anon's that like to use the answers that people have previously posted,without an explanation as to why its that answer.
It doesn't make you look any smarter than if you had just admitted to not knowing the answer in the first place, so why do it?
*talking about the 10th reply
There is only One possible solution. Billions of combinations, but only one solution.
Actually, if you have a Rubik's cube like the one I had, you can remove the stickers and place them on any square. SO on a standard 3x3x3 cube, the number of solutions would be 9! (9x8x7x6x5x4x3x2x1) = 362880.
Correction, I don't know why I thought 9. It should be 6! = 720.
One.
5
dere is dis 1 dat is it one 1
I should of sed 6
You can rotate the 6 center faces in 4 positions. Because of the symmetry there are 4^6/2 = 2048 configurations. When you consider these as different solutions, the cube's permutations increase also.
(Source: own experience and Wikipedia)
It's a matter of perspective...
1) You can say "one" solution because it is only solved when when all of the pieces are arranged together in relation to each other and given that all of the pieces have more than one color each piece would have to go in a specific position and orientation in relation to each other... no matter how you get there the end result MUST be this ONE way to be correct.
2) You can also say "24" because after arranging the pieces so that all of the colors per face are consistent you cube can be held, views, and laid down on any one of it's SIX faces and turned to face it's viewer in any one of FOUR ways (ultimately)... 6x4 = TWENTY FOUR.
3) You can also give a MUCH HIGHER number because in all honesty when you solve a real cube even though all of the centers always stay in the center and always stay in the same places in relation to each other, they actually do move by rotating in place as each face moves and in the end when all of the surrounding 20 pieces are arranged in the proper order the center pieces they revolve around are not always rotated the the original position they were in... you just don't realize this as the piece itself is one solid color and always looks the same no matter how it's rotated. I have been a puzzle solver for a long time and upon solving may kinds of cubes that have pictures or symbols on the pieces I've found everyone of the symbols on each piece on a given cube face to all be going in the same direction/orientation as each other *except* the centers... which can have anywhere from 0 to 4 of the centers not rotated properly so far as I've encountered. Maybe you could have all 6 be off... I don't know for sure, honestly. The actual number of possible "solutions" would then be a calculated something like 6x4 to the power of 6 = 191102976. Additionally, if you were to take into account the perspective from example #2 above you could probably multiply that by another 24 times!
Kind of makes you wonder if you can eally consider a "normal", 6-sided, solid colored cube "solved" just because all of the colors match on each face!
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