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06/09/2009 at 08:49AM PDT, ID: 24476160
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8.6

Quickest Rubik's cube sequence

Asked by InteractiveMind in Puzzles & Riddles, Puzzle Games, Math & Science

We'll use the notation:

U  up face (top)
D  down face (bottom)
L  left face
R  right face
F  front face
B  back face.

Then an edge cube is denoted by two faces, e.g. UL. And a corner cube by three, e.g. RFU.
To rotate the left face 90 degrees CW, we'll denote it L+, and CCW, L-, or 180 degrees (either way) L2.


The problem:

Imagine a complete cube but with DF, DR, DB, DL oriented incorrectly (see attached image).
What is the quickest way to complete the cube from here?


So far I've managed to do it in 64 moves*. I tried an online solver, but the best it could do was 84 moves.
Points are available for: i) a quicker solution, ii) proof/evidence that a quicker solution even exists, iii) proof/evidence that this is the quickest solution, iv) a number for the absolute minimum possible number of sequences.

* The winning sequence so far (the spacing reveals a slight repetitive pattern):

R+ L- F+ L+ R- D+   R+ L- F+ L+ R- D+   R+ L- F2 L+ R- D+   R+ L- F+ L+ R- D+    R+ L- F+ L+ R- D2
B+ F- R+ F+ B- D+   B+ F- R+ F+ B- D+   B+ F- R2 F+ B- D+   B+ F- R+ F+ B- D+   B+ F- R+ F+ B- D2
[+][-]06/09/09 08:53 AM, ID: 24582387

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[+][-]06/09/09 09:12 AM, ID: 24582578

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[+][-]06/09/09 11:36 AM, ID: 24584179

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About this solution

Zones: Puzzles & Riddles, Puzzle Games, Math & Science
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Solution Provided By: NovaDenizen
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Solution Grade: A
 
 
[+][-]06/09/09 01:47 PM, ID: 24585614

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