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20 turns suffice for 3x3x3!

cmhardw

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Just kidding! This hasn't been proven yet. You've just been

Surprise Challenged by Chris Hardwick!


There's only one Golden Rule:

Surprise Challenge Golden Rule) Do the challenge listed below within the next week.

Clarification of the #1 rule: If you clicked this thread, then you must do the challenge as described.

----------------------------------------------
Ok, here's the challenge!

3x3x3 Forced Turns Fewest Moves Challenge

You have a maximum of one week to complete the following challenge. The challenge is to solve the following scramble in the fewest number of turns (HTM) as possible. However, every 10th turn of your solution must be F' - these are the "forced" turns. This rule applies whether you solve the scramble or the inverse scramble. If you do choose to solve the inverse scramble, then every 10th turn of the solution you build must be an F'. This will result in every 10th turn of the solution to the scrambling algorithm, starting from the end of the solution, being an F. The F, or front layer, is fixed throughout the entire solve and is defined as the face that was on the front of the cube upon execution of the scrambling algorithm.

After each "forced" turn you may not turn the F layer again until the 2nd move after the forced turn. This means that you cannot simply undo the forced turn with an F immediately after. In fact, you can't turn the F layer at all immediately after the forced turn - but it is allowed again the 2nd turn after each forced turn. You must find your solution without the aid of any computer solver, use just your brain!

Remember, this surprise challenge is a bit different in that you may take up to a full week before posting your solution. Let's keep this interesting and submit all solutions before August 31. Try to surprise others with a link to this thread!

The scramble is listed below, good luck! Remember, you must do the challenge within the next week.

3x3x3 Forced Turns Fewest Moves Challenge: R' F R' D' U' F2 B U2 F2 L' F R2 U' B2 L R2 F' B2 D2 U' L2 U L2 B F2

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Fun Variation #1

Additional Rules and Clarifications for a more enjoyable (and difficult) challenge:

Clarification 1) If cube rotations are used at any point during the solve, then the front face is still defined as the face that was on the front of the cube when you applied the scrambling algorithm. This face must be turned once counterclockwise every 10th turn (whether you use cube rotations or not)

Clarification 2) You may not use any computer solvers, but you can use computer aids to see if your solution works. Just don't use ACube to find useful 8 or 9 move transformations ;-)

Additional Rule #1) Ok now the additional rule that makes this more fun. Every 9th and every 11th turns may not be turns of the F layer. Remember, by F layer I mean that layer that was the front face as you applied the scrambling algorithm. For example, say this is the green face. If you rotate the cube during your solve, then every 9th turn and every 11th turn, may not be turns of the green layer. In addition, the "forced" moves from the original challenge still apply. This means that every 10th turn must be to turn the green layer counterclockwise one turn in my example.
--/EDIT--

Fun Variation #2

For those who have completed the above challenges, or for those who want to try the most difficult version of the challenge of all, then try the following fun variation.

All of the rules mentioned below apply for Fun Variation #2:

1) The front face must be turned once counterclockwise every 10th turn of your solve. The front face is fixed throughout the duration of the entire solve, and is defined as the face that was on the front of the cube when you applied the scrambling algorithm.

2) If you do choose to solve the inverse scramble, then every 10th turn of the solution must follow rule #1 above. This will result in every 10th turn of the solution to the scrambling algorithm, starting from the end of the solution, being an F turn.

3) Every 9th and every 11th turn of your scramble may not be a turn of the front layer. The front layer is fixed through the duration of the solve and is defined as the layer that was on the front of the cube when you applied the scrambling algorithm.

3) You may not do more than 2 turns of parallel layers in a row. For example the sequence B F B' F' is not allowed as this counts as 4 turns of parallel layers in a row.

4) Cube rotations may be used, but you must turn the original front layer every 10th turn. Also, all of the above rules apply still. Cube rotations do not count as one of the turns of your solution.

5) The solution is measured in HTM, and thus slice turns are not allowed. The slice turn E must be written as either U D' or U D' y' and counts either way as 2 turns.

6) You may not turn the same layer twice in succession at any point during the solve. For example doing R R2 or R' R is not allowed at any point during your solve.
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Once again, Good Luck Everyone!
Chris
 
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no fair!! Maarten linked me to this thread D:

there's no way I'm doing this, I'll take a DNF.

Cmon Sarah, you have a whole week to do it :p

We should really implement a warning page; every time you are about to view a thread by Chris, there should be a huge warning banner asking us for confirmation at least 10 or 15 times.
 
Big props to anyone who can find an insertion in his solve :p

no fair!! Maarten linked me to this thread D:

there's no way I'm doing this, I'll take a DNF.

Cmon Sarah, you have a whole week to do it :p

We should really implement a warning page; every time you are about to view a thread by Chris, there should be a huge warning banner asking us for confirmation at least 10 or 15 times.
Chris is a moderator himself; I don't think he's going to let that happen :p

EDIT: Found a 19 move F2L minus one corner, but I can't find a nice continuation. (Would end up sup-70!!) So my solution is:

2x2x2 Block: L U L2 U2 R F B R B' F'
2x2x3 Block: U L D L' U'
2xcross+useless moves: x2 y' F2 U2 L F L'
3rd pair+useless moves: F U F' U' F U F' U' L L'
4th pair+useless moves: F L F L' F L F' L' L L'
OLL+useless moves: R U L' U L U2 R' F L L'
Start of PLL+useless moves: R F2 R' F' R F2 L' U L L'
End of PLL: R' F' L

63 moves.
 
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Aw you got me. But im glad you did cause this sounds fun as!!!!!! Ill begin giving it a go after school tomorrow, my goal is to get sub 100 lol. Man im keen, so looking foward to starting this.
 
When computers powerful enough to run through all 4.32E19 states of the 3x3cube become available, I'm sure we'll know gods algorithm at last for the 3x3 cube. We already know it for the 1x1x1 (0) and 2x2x2 (11) cubes. The upper bound for the 3x3x3 least moves is 22 and the lowest is 20.
 
1) Are cube rotations allowed?
2) May we use a computer?
3) Your description is not clear: I presume we're not allowed to perform an F-move on turn 9?

Good questions Lucas.

1) Yes they are, but the face that was originally your front face when you scrambled (for example, green) must be turned once counterclockwise every 10th turn of your solve.

2) I meant that you must find the solution without the aid of computer solvers. So using tools to help see if your solution works is ok, just don't plug anything into ACube to find any useful 8 or 9 move transformations ;-)

3) Actually, I didn't think of that, and that kind of does ruin the whole challenge if you just do F every 9th turn. Thanks for pointing that out, I'll fix the original post. I'll say that F turns are banned one turn before, and one turn after the 10th turns, so as to not allow for any cancellations. Plus it makes it harder to do the challenge ;-)

Chris

P.S. This challenge is posted in puzzle theory since I wanted to post more of a head scratcher/difficult challenge this time.

--EDIT--
I changed the original post to be what I intended the challenge to be, sorry if it was not clear the first time. I thought I caught every loophole ;-)
 
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ARghh! I have to remember not to view ANY threads by chris that has something amazing as a thread title. :p
 
1) Yes they are, but the face that was originally your front face when you scrambled (for example, green) must be turned once counterclockwise every 10th turn of your solve.
That was only half of it.
4) Are cube rotations allowed as spacefiller moves? Or do they not count as moves?

Also:
5) Are slice turns allowed, and how are they handled?

I'm not trying to annoy you, I'm just trying not to break your intention of the challenge.
 
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