Is there a neater strategy to create this sample (or an analogous one which fulfills the necessities) with an algorithm? Or the opposite means round: Is there a simple strategy to resolve this sample again to regular?
I’ve put your present configuration on this 4x4x4 solver, which gave the next 49-move algorithm (with the white diagonal on the entrance and orange diagonal on the top – your second image):
Bw' D' Rw' b' Uw' U' D2 L R2 Rw F' B Lw' R2 F' R2 B' R2 Uw2 Lw2 F' Lw2 Bw2 U D2 R2 U Lw2 U' F L2 B2 U R' B' D' R F2 L F2 L2 D' R2 D' B2 D L2 D2 F2
Or with photos for anybody unfamiliar with the transfer notations:
Reversing this algorithm with a solved Rubik’s Reverse 4x4x4 Dice will end in your sample:
F2 D2 L2 D' B2 D R2 D L2 F2 L' F2 R' D B R U' B2 L2 F' U Lw2 U' R2 D2 U' Bw2 Lw2 F Lw2 Uw2 R2 B R2 F R2 Lw B' F Rw' R2 L' D2 U Uw b Rw D Bw
Sadly it is not essentially the most intuitive algorithm, nevertheless it’s quicker than making an attempt to resolve it into that sample manually.
And at last: Is my observe above (with the two corners) right?
It is certainly not doable to have diagonals of corners on every face. Ignoring all the opposite items and solely trying on the corners, we principally have a 2x2x2 Dice.
1) As an instance we use the beautiful widespread checkerboard algorithm:
U R F2 U R F2 R U F' R
We do find yourself with diagonals on three sides, however have a single incorrect nook on the different sides:
As it’s possible you’ll know, it is not doable to orient a single nook on an in any other case solved 2x2x2 dice. The identical applies to the only rotated nook of the sample above.
2) Utilizing completely different diagonals additionally will not work. If we for instance attempt to put two reverse colours as diagonals on a single face, e.g. orange and purple, we have now no strategy to organize the opposite items:
2a) Within the image beneath we have used all 4 blue stickers, however the orange-blue-white nook on the bottom-front-right place has its blue sticker on the right diagonal on the correct facet, however its white sticker NOT on the proper diagonal, because it’s on the underside face as an alternative of entrance:
2b) Changing this red-white-blue nook with red-green-white will put two white stickers subsequent to one another on the entrance face; and changing this red-white-blue nook with red-blue-yellow will put two blue stickers subsequent to one another on the correct face.
2c) Changing it with the one different nook left with a purple sticker (red-yellow-green) may look promising at first:
But it surely’s sadly additionally a lifeless finish, as a result of: to forestall what occurred for 2b, we are able to solely put the red-white-blue nook we have eliminated on the top-back-left place. However doing so, we can’t have any legitimate nook to place on the front-right-bottom place (marked darkish grey above).
So whether or not we attempt to create diagonals utilizing adjoining or reverse colours on one of many faces, we will not end the corner-diagonals on all faces.