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One-Answer Puzzle Theory Question Thread

WoowyBaby

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It is by no means short, but I did find this one a little while back.
[2R2 B2 D2 U2 F2 2R2 D2 F2 2L U2 2R2 F2 2L' U2 2R U2 2R', U2 B2 2R' B2 U2 2R U2 2R' B2 2R2 B2 U2 2R2] 2R

I was just searching using Cube Explorer (manually). I know the question was just to solve the first face, not necessarily the first layer. But even with solving the entire face, I couldn't find a position (with about 50 tries) which required more than 11. You mentioned 13 moves. Do you know of a position which requires 12 or 13?
No I don’t, I just made a wild guess. Good work going through fifty tries. I place my next guess on gods number being either 11 or 12. We’ll see though, I don’t have any proof.
 

xyzzy

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Joined
Dec 24, 2015
Messages
2,414
what is the god's number for one side on a 3x3 cube? i mean side, not layer
(@WoowyBaby)

10 moves is the answer.

Distribution for solving a specific face:
Code:
0	1
1	12
2	150
3	1886
4	21916
5	242166
6	2292695
7	14228012
8	25293406
9	2825994
10	162

Restricted to the domino-solvable states (but allowing non-domino moves):
Code:
0	1
1	4
2	22
3	82
4	300
5	1278
6	2305
7	892
8	16

Restricted to the domino-solvable states and domino moves only:
Code:
0	1
1	4
2	22
3	82
4	292
5	986
6	2001
7	1312
8	200

Christopher's 3-flip example can actually be solved in 8 moves: F D B' D2 R' F' U R2 (note that this does rearrange some of the edge pieces)

PS: Hey, @Christopher Mowla, you don't have to treat everything I say as some kind of a personal attack on you. I was just trying to provide some additional information you or another reader might find interesting. What the hell, man.
 
Last edited:

MJbaka

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Jun 3, 2021
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154
Location
Idaho
How many possible permutations are there of the U Layer Corners and the DFR and DBR corners all together, if all of them are all oriented?
 

Thom S.

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Sep 26, 2017
Messages
479
I could have done some research but what are the chances of getting pregnant on 4x4 and can you predict it?
I'm gonna assume you mean parity because last time I've gotten pregnant on 4x4 is something I'd rather not talk about.
OLL Parity has a 1/2 chance. There are methods to recognise parity, they are hard. If you are good at ZZ you can of course before doing 3x3 stage count the bad edges and act accordingly but I think noone does this.
Lucas Parity is quite nice I think.
 

xyzzy

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Dec 24, 2015
Messages
2,414
I am pretty sure but I just can't remember which one that would be.
A quick search on YT (filtered to the year) didn't find anything about a new parity alg (it's just the same few ones; Lucas parity still the most popular), but I also found this funny video, so at least it wasn't a waste of time.
 
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