# The 2x2x2 Rubik’s Cube – Beginner’s Solution

The 2x2x2 Rubik’s Cube (also called as Pocket Cube or Mini Cube) is the two layered version of a Rubik’s Cube. This puzzle was invented by Rubik Erno before the 80s and was patented on March 29, 1983. At first sight it may seem to be a simple puzzle but it’s good to know that it has more than 3,6 million possible permutations so it’s impossible to solve it by just randomly twisting the faces.

The 2×2 cube is an official WCA competition event, the fastest solves being below 2 seconds.

## Pocket Cube Mods

The 2x2x2 has inspired many designers and lots of variations and shape mods were produced since 1981 as seen on the picture above.

Starting from the top left a center-shifted 2 color Meffert’s Pocket Cube by Justin Eplett which basically is a 2×2 in a 2×2. The Pyramorphix is not a 2×2 Pyraminx but in fact it’s a smart mod where you have to worry about the orientation of only 4 pieces.  The Kilominx dodecahedron-shaped puzzle is the smaller brother of the Megaminx. On the right a member of the Mad Heads zombie series which proves that any shape can be built on the core of this cube. 2×2 puzzles are available in the shape of cartoon figures, the most common being the Homer Simpson head.

A Ghost Cube and a Mirror Cube in the second row which are probably the most popular shape mods of the NxNxN cubes. Next a non-twisty sliding puzzle, the Inside out 2x2x2 (or Vadász Kocka) which works like a 3D 15-Puzzle. A small Siamese (Triamese) puzzle where three cubes are sharing their corner pieces.

## Color Patterns

Try some pretty color patterns if you’re tired of just simply solving the cube the traditional way. Try to reach the schemes on the images or invent new ones. Having only four stickers per face the possibilities are limited compared to the Rubik’s Cube color patterns. Find the algorithms below if you get stuck.

• Quarters: U F2 U2 R2 U
• ZigZag: R2 F2 R2 U2
• Cube in a cube: R F U’ R2 U F’ R U F2 R2
• Checkerboard: U R F2 U R F2 R U F’ R
• Pillar: U R U’ R2 U’ R’ F’ U F2 R F’
• Spiral: U2 F2 R2 U2

## How to solve the Pocket Cube?

Swap two pieces
next to each other:

L F’ L’ D’ L’ D F
Swap two
opposite corners:

F L F L’ D’ L’ D

The 2×2 cube is basically a Rubik’s Cube without center and edge pieces having only the 8 corner pieces. If you can solve the classic 3x3x3 then you will be able to unjumble this one too.

You might meet two cases that you will never see on the 3x3x3: when two pieces are switched on the last layer.

To handle this problem use one of the algorithms. If you don’t know what the letters mean please read the Rubik’s Cube notation.

## Beginner’s Solution Method

In case you have never solved a Rubik’s Cube before here’s the easiest solution method for beginners.

To solve the puzzle we need to rotate the faces, so let’s mark them with letters: F(front), R(right), L(left), D(down). A letter alone means a clockwise rotation while reverse turns are marked with an apostrophe (F’) and double turns are marked with 2 (F2).

An example algorithm: F R’ U2 (turn the front face clockwise, then the right counterclockwise and do a 180o turn of the up face)

### Step1: White Face

Start with the white face. This is the easy part so you can try to do this without using the algorithms.

We need to place the white pieces next to each other making sure that the side colors match, as seen on the first image. Here are the algorithms to move a piece from the back face to the front. There are three possible orientations of the piece so we need three algorithms to position the white pieces.

Case 1: D’ R’ D
Case 2: R B R’
Case 3: D’ R D B2 D’ R D
When the piece is in its position but oriented wrong first we need to send it to the back layer and do one of the three cases above (D’ R D).

### Step 2: Position Yellow Corners

Turn the cube with the white face down because we won’t need to work with that anymore. Turn the upper layer to see how many pieces can be moved to their final position. The orientation doesn’t matter at this stage.

1. Only one piece can be moved to its final position: Do U R U’ L’ U R’ U’ L holding the correct piece in the front-right-up position to cycle the other three corners.
2. Swap two pieces in the top front: L F’ L’ D’ L’ D F
3. Swap two diagonal corners: F L F L’ D’ L’ D

### Step 3: Orient Yellow Corners

At this point all pieces are on their final position, we just have to orient the yellow corners.

Hold the puzzle in your hands with an unsolved yellow piece in the FRU (front-right-up) position, then do the R’ D’ R D algorithm twice or four times until that specific piece is oriented well. Making U’ moves bring another unsolved piece to the FRU spot and repeat R’ D’ R D until this specific piece is ok. In each step the algorithm needs to be performed twice to turn the corner counterclockwise and four times to turn it clockwise.

#### Examples

1. Headlights: Two yellow stickers facing to the front: (R’ D’ R D)x4 U’ (R’ D’ R D)x2
2. Yellow on the sides in the front layer: (R’ D’ R D)x2 U’ (R’ D’ R D)x4
3. Three corners need to be turned counterclockwise (R’ D’ R D)x2 U’ (R’ D’ R D)x2 U’ (R’ D’ R D)x2

For a more detailed explanation of this step with animated examples read about the orientation of last layer corners here.

Congratulations, you have solved your 2×2 Cube!