1LLL
Only the U layer remains: its three corners and six side triangles are free. The large U centre, including its edges and U triangles, may turn as a unit. Solve the Nautilus last layer in one algorithm.
377 cases · 709 algorithms
Proven optimum for 5 cases out of 377; for the others, the page gives the length of the shortest algorithm offered and a bound.
Definition of the set: public sheet.
How to read this page
- Each case is drawn on a flat net of the puzzle’s faces. Grey marks the stickers that the case does not constrain.
- Colours of the puzzle in the application. Grey marks what the case does not look at.
- Lengths: each move counts 1, an inner slice 2, a rotation 0. The "setup" presents the puzzle as drawn and does not count.
- In each case, the best available optimal algorithm comes first, then the others by increasing ease score. When no optimal writing is available, all algorithms are ranked by this score (lower is easier).
- "Play" starts from a position of the case and runs the algorithm to the set’s goal. Usually, the starting position is obtained by running the algorithm backwards from the solved puzzle. For a partial goal, the player may start from a representative position of the case in the application; the puzzle is not necessarily fully solved at the end.
LL Trapezoids / T3 group
12 cases · 15 algorithms
LL Trapezoids / T1 group
12 cases · 20 algorithms
LL Trapezoids / T2 group
12 cases · 17 algorithms
LL Trapezoids / T4 group
12 cases · 15 algorithms
LL Trapezoids / T5 group
12 cases · 23 algorithms
LL Trapezoids / T0 group
5 cases · 6 algorithms
LL Diamonds / D14 group
12 cases · 38 algorithms
LL Diamonds / D10 group
12 cases · 26 algorithms
LL Diamonds / D4 group
6 cases · 8 algorithms
LL Diamonds / D5 group
12 cases · 24 algorithms
LL Diamonds / D13 group
12 cases · 23 algorithms
LL Diamonds / D9 group
12 cases · 25 algorithms
LL Diamonds / D7 group
12 cases · 27 algorithms
LL Headlights / H9 group
12 cases · 26 algorithms
LL Headlights / H10 group
12 cases · 19 algorithms
LL Diamonds / D6 group
12 cases · 27 algorithms
LL Diamonds / D8 group
12 cases · 22 algorithms
LL Headlights / H4 group
12 cases · 17 algorithms
LL Diamonds / D3 group
6 cases · 9 algorithms
LL Headlights / H3 group
12 cases · 18 algorithms
LL Diamonds / D16 group
12 cases · 21 algorithms
LL Diamonds / D15 group
12 cases · 26 algorithms
LL Headlights / H2 group
6 cases · 16 algorithms
LL Headlights / H7 group
12 cases · 24 algorithms
LL Headlights / H8 group
12 cases · 20 algorithms
LL Diamonds / D12 group
12 cases · 36 algorithms
LL Diamonds / D11 group
12 cases · 20 algorithms
LL Diamonds / D2 group
6 cases · 12 algorithms
LL Cat Chameleons / C2 group
12 cases · 19 algorithms
LL Cat Chameleons / C4 group
12 cases · 18 algorithms
LL Headlights / H6 group
12 cases · 24 algorithms
LL Cat Chameleons / C1 group
6 cases · 11 algorithms
LL Headlights / H1 group
6 cases · 17 algorithms
LL Headlights / H5 group
12 cases · 21 algorithms
LL Cat Chameleons / C3 group
6 cases · 9 algorithms
LL Diamonds / D1 group
6 cases · 10 algorithms