ABCDEFGHIJKLMNOPQRSTUVWXYZ
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Introduction
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This method of recognition the BT-redux case attempts at using the knowledge of CxLL cases as orienting the 4 U-layer corners and permuting 0 or 2 corners.
With this intention, this system does not require juggling around 150 cases in your head to use 42 algorithms. Instead, by understanding the effect on corners
of each CxLL alg, we can infer the correct alg when solving the cube. We find that CP for BT-redux is slightly different as the DBR corner dictates which corner
must be AUFed to UBR, while the DFR corner in the U-layer must of course be positioned at UFR
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There are effectively 18 cases for this method for determining CP, while CO is inferred. The list shows more cases to show that a corner's orientation is irrelevant for CP recognition.
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Beginner's variant only has 2*3 = 6 cases for CP
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The beginner variant orients the corners with the R-move conjugation taken into account. Thereafter, we need only to use the O cases to solve for the correct CP
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The advanced variant combines both orientation and permutation as usual for CxLL, but with this altered form of recognition of CO and CP
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After much practice with this recognition method, it is possible to infer the orientation of the D-corner when AUFed to UBL by looking just at the UBL sticker.
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Also, it seems to be faster recognizing CP first, and then CO from practice
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Example:
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Scramble: (R) L2 B2 R2 D' L2 R2 U' R2 F2 R' B' R' U' B' U B U'
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We find the D-corner to be at UBR, with the F sticker (green is F if holding cube at standard orientation) pointing left, which we imagine as the orientation sticker.
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We also notice the 2 opposite (to RDB's color of red in standard orientation) corners at UFL and RBU, and hence with the green sticker of the D-corner at LBU,
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we know this is effectively a T-case.
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Now for the permutation. From the CP Recognition page, these two opposing corners are at ULF and URB, and we find that the CP is to left, swapping ULF and ULB.
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Lucky here our orientation case is in standard position, so indeed we use the Left T-case to execute BT-Redux:
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#REF!#REF!
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(U') R U R' U' R' F R F'
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