PL6X

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. The U corners are aligned with the U centre. Solve the last six triangles with the corners preserved.

35 cases · 118 algorithms

No proven optimum for this set: the page gives the length of the shortest algorithm offered and a lower 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.

Trapezoids: Trapezoid / Right Diamond

At least 9 moves

3 algorithms

First algorithm: U BL' U' BL U 2BL' U' BL' U BLw BLv' BLv

Trapezoids: Trapezoid / Vertical Diamonds

At least 9 moves

4 algorithms

First algorithm: (U') BL U 2BL' U' BL' U 2BL BLv' BLv

Trapezoids: Trapezoid / Horizontal Diamonds

At least 9 moves

3 algorithms

First algorithm: L BL U' B' BL B BL' U L BL' L

Trapezoids: Trapezoid / Left Diamond

At least 9 moves

3 algorithms

First algorithm: (U) U BL U BL' U' 2BL U BL U' BLw' BLv BLv'

Trapezoids: Trapezoid / Headlights

At least 9 moves

5 algorithms

First algorithm: (U') BLw' U' BLw U' BLw F' BLw F' L U' L F' L BLw BLv' BLv' BLv' BLv' BLv

Diamonds: Two Anticlockwise Diamonds

At least 9 moves

3 algorithms

First algorithm: (U) BLw U BL' U' BLw' BL' U BLw' U' BL U BLw BL BLv' BLv BLv BLv'

Diamonds: Horizontal Diamonds

At least 9 moves

4 algorithms

First algorithm: (U) L BL' F BL L' F U' F' L BL' F' BL L'

Diamonds: Three Anticlockwise Diamonds

At least 9 moves

3 algorithms

First algorithm: BL' U BL' B' U BL U BL' U B BL'

Diamonds: Vertical + Right Diamonds / Right Triangle Matching

At least 9 moves

3 algorithms

First algorithm: (U') U BL' L' BL U' B' BL B BL' U L

Diamonds: Two Anticlockwise Diamonds / Cat Ears

At least 9 moves

3 algorithms

First algorithm: (U) BLw U' BLw U' BL U BLw' BL' U BLw' U BL' U' BL BLv BLv BLv' BLv'

Diamonds: Horizontal Diamonds / Vertical Hourglasses

At least 9 moves

3 algorithms

First algorithm: (U) BL U' BL' L F BL' F' BL L' U' BL U' BL'

Diamonds: Vertical + Left Diamonds / Right Triangle Matching

At least 9 moves

6 algorithms

First algorithm: (U') B U BL' L BL L' U' BL B' BL'

Headlights: Headlights / LF Diamond / Cat Ears

At least 9 moves

3 algorithms

First algorithm: U BL' U' L U' BL U BL' L' U F' U' F U BL

Headlights: Headlights / LF Diamond

At least 9 moves

5 algorithms

First algorithm: z Lw L B Lw' D Lw D' B' D Lw' D' L' Lv Lv' Lv Lv' z'

Diamonds: Vertical + Right Diamonds / Left Triangle Matching

At least 9 moves

4 algorithms

First algorithm: (U') B BL B BL' U L BL' L' BL U' B

Diamonds: Vertical + Left Diamonds / Left Triangle Matching

At least 9 moves

3 algorithms

First algorithm: (U) BL B BL' U L BL' L' BL U' B'

Headlights: Headlights / RB Diamond

At least 9 moves

3 algorithms

First algorithm: (U) U Lw U L BL' F BL L' U' L F' L' Lw' Lv Lv'

Diamonds: Three Anticlockwise Diamonds / Cat Ears

At least 9 moves

5 algorithms

First algorithm: BL B' U' BL U' BL' U' B BL U' BL

Headlights: Headlights / RB Diamond / Cat Ears

At least 9 moves

3 algorithms

First algorithm: (U) U' Lw U L' F' U F U' L BL U' BL' Lw' Lv Lv'

Diamonds: Vertical Diamonds

At least 9 moves

3 algorithms

First algorithm: (U) BL' U BL U' BLw U' BLw BL U' BL' U BLw' U BLw' BLv BLv BLv' BLv'

Diamonds: Vertical Diamonds / Vertical Hourglasses

At least 9 moves

2 algorithms

First algorithm: (U) U' F BL U' BL' U BL U B U BL' U' BL B' BL' F'

Headlights: Three Headlights / Left Edge Matching

At least 9 moves

5 algorithms

First algorithm: BLw B' BLw U BLw' B BLw U' 2BL U' BL U' BL' U' BL BLv' BLv' BLv BLv' BLv'

Headlights: Headlights / RF Diamond / Cat Ears

At least 9 moves

3 algorithms

First algorithm: (U') BL' U' F' U BLw U' F U F' BLw' F BL BLv BLv'

Headlights: Headlights / RF Diamond

At least 9 moves

4 algorithms

First algorithm: (U') L' Lw' BL' L U' L' F BL F' L U Lw Lv' Lv

Diamonds: Two Clockwise Diamonds

At least 9 moves

2 algorithms

First algorithm: (U) U BLw' U' BL U BLw BL U' BLw U BL' U' BLw' BL' BLv BLv' BLv' BLv

Diamonds: Two Clockwise Diamonds / Cat Ears

At least 9 moves

2 algorithms

First algorithm: (U) U BLw' U BLw' U BL' U' BLw BL U' BLw U' BL U BL' BLv' BLv' BLv BLv

Diamonds: Three Clockwise Diamonds

At least 9 moves

4 algorithms

First algorithm: BL U' BL L U' BL' U' BL U' L' BL

Cat Ears and Chameleons: Cat Ears

At least 9 moves

2 algorithms

First algorithm: B' L' BL L U L' BL' L U' BL' U' BL U B

Cat Ears and Chameleons: One Chameleon

At least 9 moves

2 algorithms

First algorithm: (U) B' U' BL' U BL U L' BL L U' L' BL' L B

Headlights: Headlights / LB Diamond

At least 9 moves

3 algorithms

First algorithm: U' BL' F' BLw' F U' F' BLw F BLw' U BLw BL BLv' BLv BLv' BLv

Cat Ears and Chameleons: Three Cat Ears

At least 9 moves

2 algorithms

First algorithm: F Lw F' Lw U L' F' L U Lw' F' L' Lw' U L F' Lv Lv Lv' Lv'

Headlights: Three Headlights / Right Edge Matching

At least 9 moves

5 algorithms

First algorithm: L' BL U BL' U' L B' L' U' BL U BL' L B

Headlights: Headlights / LB Diamond / Cat Ears

At least 9 moves

3 algorithms

First algorithm: U BL' F' BLw F U' F' U BLw' U' F U BL BLv BLv'

Cat Ears and Chameleons: Three Chameleons

At least 9 moves

2 algorithms

First algorithm: B BL' B U' L U BL' U' BL' L U' L' BL L' BL' B

Diamonds: Three Clockwise Diamonds / Cat Ears

At least 9 moves

5 algorithms

First algorithm: BL' L U BL' U BL U L' BL' U BL'