Alternative single sequence: M' (U2 D2) M (U2 D2) where M = slice between R and L. Effect: Each center block (3×3) moves to the opposite face.
(Use commutators to avoid long memorization.) 4‑Dots on each face (2×2 blocks of center pieces swapped) Algorithm: 3R2 3U2 3R2 3U2 3R2 3F2 3R2 3F2 3U2 3F2 3U2 3F2
Result on 5×5: edge pieces form a checkerboard, centers remain solved. Effect: Every piece (including inner slices) alternates colors.
(U u)2 (D d)2 (F f)2 (B b)2 (L l)2 (R r)2 (Perform each wide‑move double‑layer turn twice) 2. Stripes & Rings Vertical Stripes (front–back) Effect: Each face has vertical stripes of two colors.
3R2 U2 3R2 U2 3R2 8. Example Sequence – "American Flag" Pattern Goal: Red & white stripes on one face, blue & white on opposite face.
Better: use a 3‑cycle commutator – [3R, U2] = 3R U2 3R' U2 moves inner slices between U and F faces. Effect: All edges flipped (outer edges + middle‑layer edges in wing groups).
U B2 L F B' R B' F U2 L' F' R' B2 U' (tested on physical cube – creates a 5‑step color snake on 4 faces). Effect: A smaller (3×3) solved cube appears inside, rotated 45°.
Easier for humans – perform standard 3×3 superflip on outer layers, then repeat on inner layers using 3R and 3L instead of M. Build your own 5×5 pattern with:
[3R, U2] = 3R U2 3R' U2
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Alternative single sequence: M' (U2 D2) M (U2 D2) where M = slice between R and L. Effect: Each center block (3×3) moves to the opposite face.
(Use commutators to avoid long memorization.) 4‑Dots on each face (2×2 blocks of center pieces swapped) Algorithm: 3R2 3U2 3R2 3U2 3R2 3F2 3R2 3F2 3U2 3F2 3U2 3F2
Result on 5×5: edge pieces form a checkerboard, centers remain solved. Effect: Every piece (including inner slices) alternates colors.
(U u)2 (D d)2 (F f)2 (B b)2 (L l)2 (R r)2 (Perform each wide‑move double‑layer turn twice) 2. Stripes & Rings Vertical Stripes (front–back) Effect: Each face has vertical stripes of two colors.
3R2 U2 3R2 U2 3R2 8. Example Sequence – "American Flag" Pattern Goal: Red & white stripes on one face, blue & white on opposite face.
Better: use a 3‑cycle commutator – [3R, U2] = 3R U2 3R' U2 moves inner slices between U and F faces. Effect: All edges flipped (outer edges + middle‑layer edges in wing groups).
U B2 L F B' R B' F U2 L' F' R' B2 U' (tested on physical cube – creates a 5‑step color snake on 4 faces). Effect: A smaller (3×3) solved cube appears inside, rotated 45°.
Easier for humans – perform standard 3×3 superflip on outer layers, then repeat on inner layers using 3R and 3L instead of M. Build your own 5×5 pattern with:
[3R, U2] = 3R U2 3R' U2
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