3x4x5 Cuboid - Phase 1

Step A

Case 1

No Up Corners sticking out. Move to step B.

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Case 2

One Corner Sticking Out of U Layer. Move to step B.

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Case 3

Two Corners Sticking Out of U Layer. Move to step B.

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Case 4

Three Corners Sticking Out of U Layer. Rotate U Layer.

U

Case 5

Four Corners Sticking Out of U Layer. Rotate U Layer.

U

Step B

Case 1

No Down Corners sticking out. Move to step E.

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Case 2

One Corner Sticking Out of D Layer. Move to step C.

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Case 3

Two Corners Sticking Out of D Layer. Move to step C.

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Case 4

Three Corners Sticking Out of D Layer. Rotate D Layer.

D

Case 5

Four Corners Sticking Out of D Layer. Rotate D Layer.

D

Step C

Case 1

Two Corners Sticking out of U and D layers. Bring corners to U Layer, facing the front.

Combination of B, D, Lw

Case 2

Four Corners Stickout out of U and D Layers. Bring at least three corners to U Layer, then turn U. Then bring corners to the U Layer, facing the front.

Combination of B D Lw, then U

Step D

Only Case

Two Corners Sticking out of Front U layer. Perform algorithm so that they do not stick out.

Rw U' B U B U

Step E

Case 1

No edges sticking out. Go to step I.

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Case 2

Edge sticking out. Move edge to U Layer, facing the back.

F, U and/or B

Step F

Case 1

Sunken edge on top left. Go to step G.

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Case 2

Sunken edge not on top left. Move edge to U Layer, facing the left.

Rw, Lw and/or D

Step G

Only Case

Edge sticking out of back and sunken on left. Swap Edges.

Lw D' Lw F Rw U

Step H

Only Case

Repeat steps E-G until no edges stick out of U and D Layers.

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Step I

Case 1

No u Corners sticking out. Go to step J.

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Case 2

One Corner Sticking Out of u Layer. Go to step J.

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Case 3

Two Corners Sticking Out of u Layer. Go to step J.

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Case 4

Three Corners Sticking Out of u Layer. Rotate u Layer.

u

Case 5

Four Corners Sticking Out of u Layer. Rotate u Layer.

u

Step J

Case 1

No corners sticking out of d Layer. Go to step M.

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Case 2

One Corner Sticking Out of d Layer. Go to step K.

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Case 3

Two corners sticking out of d Layer. Go to step K.

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Case 4

Three corners sticking out of d Layer. Rotate d Layer.

d

Case 5

Four corners sticking out of d Layer. Rotate d Layer.

d

Step K

Case 1

Two Corners Sticking out of u and d layers. Bring corners to u layer, facing the front.

Combination of B, d, Lw

Case 2

Four Corners Stickout out of u and d Layers. Bring at least three corners to u, then turn u. Then bring corners to the u layer, facing the front.

Combination of B d Lw, then u

Step L

Only Case

Two corners sticking out of u layer, facing the front. Perform algorithm so they do not stick out.

Rw u' B u B u

Step M

Case 1

No edges sticking out. Go to phase 2.

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Case 2

Edge sticking out. Move edge to u Layer, facing the back.

F, u and/or B

Step N

Case 1

Sunken edge on u layer, facing left. Go to step O.

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Case 2

Sunken edge not on u layer, facing left. Rotate until sunken edge is on u layer, facing left.

Rw, Lw and/or d

Step O

Only Case

Edge sticking out of back and sunken edge on left. Swap edges.

Lw d' Lw F Rw u

Step P

Only Case

Repeat steps M-O until no edges stick out of u and d Layers.

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