F2L: First Two Layers
F2L (First Two Layers) is the most important step in the CFOP method. Instead of solving the first layer corners and second layer edges as two separate steps (like the beginner method), F2L pairs a corner with its matching edge and inserts them together into the correct slot. This saves a huge number of moves and is where the biggest speed improvements come from.
There are 4 slots to fill, one in each corner of the bottom two layers. Each slot consists of one corner piece and one edge piece.
The Concept
Every F2L case involves two pieces:
- A corner piece that belongs in the bottom layer (it has a white/bottom-color sticker)
- An edge piece that belongs in the middle layer (it connects two side colors)
The goal is to pair these two pieces in the top layer, then insert the pair into the correct slot in one smooth motion.
Notation Reminder
- R = Right L = Left U = Up D = Down F = Front B = Back
- A letter alone = clockwise 90° ' = counter-clockwise 2 = 180°
Hold the cube with white on the bottom. The slot we are inserting into is always the front-right slot (between the F and R faces).
Intuitive F2L
Before memorizing algorithms, learn the logic of F2L. Every case follows the same pattern:
- Find a corner-edge pair that belongs together
- Separate them if they are stuck together incorrectly
- Position one piece, then bring the other to meet it
- Pair them in the top layer so white faces outward or downward
- Insert the connected pair into the slot
Key principle: Use R and U moves to take the corner out of or into the front-right slot, and use U moves to position the edge. Never disturb already-solved slots.
There are 41 standard F2L cases in total. Below we cover the 15 most important cases that form the foundation. Once you master these, you will be able to handle the remaining cases intuitively or look them up as needed.
Basic Cases: Both Pieces in the Top Layer
These are the simplest and most common cases. Both the corner and the edge are in the U layer and the target slot is empty.
Case 1: Easy Insert — Corner White Faces Right, Edge Ready
The corner has white facing the R face, and the edge is already positioned so that one U-move pairs them. This is the most basic F2L insert.
Algorithm: R U R'
Case 2: Easy Insert — Corner White Faces Front, Edge Ready
The corner has white facing the F face, and the edge is positioned to pair with a counter-clockwise insertion.
Algorithm: F' U' F
Case 3: Corner White Faces Up, Colors Matching Side
The corner has white facing up and its front color matches the front center. The edge is across from it. We need to connect them and insert.
Algorithm: U R U2' R' U R U' R'
Case 4: Corner White Faces Up, Colors Matching Right Side
The corner has white facing up and its right color matches the right center. The edge needs to be paired from the opposite side.
Algorithm: U' F' U2 F U' F' U F
Case 5: Corner and Edge Far Apart, White Faces Right
The corner has white facing right and the edge is on the opposite side of the top layer. We bring the edge closer, then pair and insert.
Algorithm: U' R U R' U R U' R'
Case 6: Corner and Edge Far Apart, White Faces Front
Mirror of Case 5. The corner has white facing front and the edge is on the far side.
Algorithm: U F' U' F U' F' U F
Case 7: Corner and Edge Adjacent, White Faces Right — Pair Connected but Wrong
The corner and edge are next to each other and connected, but inserted they would go in wrong. We split them, then rejoin correctly.
Algorithm: R U2' R' U R U' R'
Case 8: Corner and Edge Adjacent, White Faces Front — Pair Connected but Wrong
Mirror of Case 7 on the F face side.
Algorithm: F' U2 F U' F' U F
Intermediate Cases: Edge in Slot, Corner in Top Layer
Sometimes the edge is already stuck in a slot (correct or incorrect), and the corner is in the top layer. We need to extract the edge without disturbing other solved pairs.
Case 9: Edge in Correct Slot but Corner in Top — White Faces Right
The edge is in the correct slot, and the corner is in the U layer with white facing right. We take the edge out and pair it with the corner.
Algorithm: U R U' R' U R U' R'
Case 10: Edge in Wrong Slot, Corner in Top — White Faces Up
The edge is in the wrong slot. We extract it while simultaneously setting up the pairing with the corner.
Algorithm: R U' R' U R U2' R' U R U' R'
Advanced Cases: Corner in Slot
These cases occur when the corner is already in the correct slot but oriented incorrectly, or in the correct slot with the edge misplaced.
Case 11: Corner in Slot, Twisted — Edge in Top Layer
The corner is in the front-right slot but with white facing front (not down). The edge is in the U layer. We extract the corner, pair it with the edge, and re-insert.
Algorithm: R U' R' U R U' R'
Case 12: Corner in Slot, Twisted — Edge in Wrong Slot
Both pieces are in the bottom two layers but neither is correct. We kick the corner out and simultaneously extract the edge.
Algorithm: R U R' U' R U R' U' R U R'
Special Cases: Both Pieces in Slot
Case 13: Pair Connected in Slot but Twisted
The corner and edge are paired and in the slot, but the corner is twisted (white faces front, not bottom). Extract the pair, split them apart, and re-insert correctly.
Algorithm: R U R' U' R U2 R' U R U' R'
Case 14: Corner Correct in Slot, Edge Flipped in Slot
The corner is correctly placed but the edge above it is flipped. This is one of the trickiest cases. We extract both, pair correctly, and re-insert.
Algorithm: R U' R' U' R U R' U2 R U' R'
Case 15: Both in Slot, Both Wrong — Cross-slot Error
The corner and edge are both in the slot but neither matches. Full extraction and rebuild.
Algorithm: R U R' U' R U' R' U2 F' U' F
Tips for Faster F2L
1. Learn Intuitively First
Do not rush to memorize all 41 algorithmic cases. Spend time understanding why each move works. If you know that R U R' takes a corner out and puts it back, you can figure out most cases yourself. Algorithms come later to optimize the moves you already understand.
2. Develop Lookahead
Lookahead is the ability to track your next pair while inserting the current one. This is the single biggest factor separating 20-second solvers from 15-second solvers.
Practice tips:
- Slow down your turning and force yourself to search for the next pair during insertions
- Practice solving F2L with your eyes closed during the insertion (you know the moves, so look ahead)
- Do untimed solves focused purely on zero pauses between pairs
3. Reduce Rotations
Every time you rotate the entire cube, you lose time. The best F2L solvers rarely rotate more than once or twice in an entire F2L phase.
- Learn to insert into back slots using R and U moves (e.g., R U' R' to insert into back-right)
- Practice using L, F, and B moves for opposite-side slots
- Use wide moves (r, l) to rotate and insert simultaneously
4. Recognize Cases Quickly
Train yourself to instantly recognize which case you are looking at:
- Where is white on the corner? (Up, Front, or Right)
- Where is the edge relative to the corner? (Adjacent, opposite, or in a slot)
- Are they already paired? (Connected correctly, connected wrong, or separate)
5. Solve in Efficient Order
You do not have to solve the 4 pairs in any fixed order. Look at all 4 pairs and start with the easiest one — the one that requires the fewest moves. Experienced solvers plan their first pair during inspection along with the cross.
6. Empty Slot Tricks
When a slot is empty, you can use it as temporary storage. For example, place an edge into an empty slot (R U R') to get it out of the way while you work on a different pair. Beginners often overlook this powerful technique.
Practice Routine
- Scramble the cube and solve the cross
- Find all 4 corner-edge pairs — identify where each corner and its matching edge are
- Solve each pair one at a time — start with easy cases, leave hard ones for last
- Time your F2L phase only — use a stackmat or app. Target: under 15 seconds for all 4 pairs
- Review — after each solve, ask: could I have done any pair in fewer moves?
With consistent practice, F2L will become second nature and you will see dramatic improvements in your overall solve times.
What's Next?
After mastering F2L, continue with the last layer:
- CFOP Method Overview — See how F2L fits into the full CFOP method
- OLL Algorithms — Make the top face all yellow (57 cases + 2-Look OLL)
- PLL Algorithms — Arrange the final pieces to complete the solve (21 cases)
- Finger Tricks Guide — Execute F2L triggers faster and more smoothly