How to solve a 5×5

The reduction method: make the 5×5 look like a 3×3, then solve it with the beginner method you already know. First solve often takes 1–2 hours. Practise turns on the 5×5 in Cube Lab.

Before you start

A 5×5 is an odd cube. The very middle sticker of each face never moves relative to the others — those six centres tell you the colour of each face, exactly like a 3×3. White is opposite yellow, red opposite orange, green opposite blue.

• Each face’s “centre” is a 3×3 block around that fixed middle.
• Each 3×3-style edge is three pieces: a middle edge (two colours) plus two wings.
• Corners are the same as on a 3×3.

No PLL parity. Unlike a 4×4, you will not get two opposite edges that refuse to swap. You can get a single flipped edge (OLL parity) and a fiddly last-two-edges case. Both are below.

Why reduction

Odd cubes keep fixed centres, so reduction is natural: build each 3×3 centre around the middle sticker, pair triple edges, then solve like a 3×3. You reuse beginner or CFOP knowledge and only add last-two-edges and OLL parity.

Notation

Outer faces match 3×3. 5×5 adds inner (2R), mid (3R), and wide (Rw, 3Rw) slices.

See the full cube notation reference — including mid/3-wide layers and Cube Lab controls.

Undo slices. Pairing uses Uw to bring wings together, then you undo that slice so the 3×3 centres come back.

Step 1 · Centres

A 3×3 block of the same colour on every face, built around the fixed middle sticker.

White, then yellow

Start with white. The middle white sticker is already correct — you only place the eight centre pieces around it. Make 1×2 or 1×3 bars with inner slices, then attach them to the fixed centre. Hold finished white on the bottom while you build yellow on top.

The last four centres

White down, yellow up. Solve two adjacent side centres with bars, then the last two with a commutator: make a bar on the front, insert it, and the last centre fills in.

A mid-slice turn (3R) moves only the middle row of a centre — useful when a bar is one piece off. Always restore centres you already solved.

Step 2 · Edge pairing

36 edge pieces become 12 “tredges” — each slot holds a matching middle edge plus two wings.

Find a middle edge (the piece with two colours, like a 3×3 edge). Put it at front-top (UF). Find the two wings that share those colours. A wide U brings a wing next to the middle; store the growing pair, then undo the slice.

1. Turn Uw until a matching wing sits beside the middle edge at UF.
2. Replace that slot with any still-unpaired edge so the next slice does not rip it apart — often R U R'.
3. Undo the slice: Uw'.
4. Repeat for the second wing of the same edge, then move on.

Do this until ten of the twelve edges are fully paired. The last two need their own step — a normal store would unpair one to finish the other.

Step 3 · Last two edges

The two leftover edges. Hold them at front-top and back-top (or front-top and front-right).

Put the two messy edges at UF and UB. The algorithm below cycles wings onto the middle edges without destroying the centres you already built. You may need it once, or once plus a U2 and a second pass, depending on how the wings sit.

In Cube Lab: Wide for Rw, 3-Wide for 3Rw, Outer for U and F. After this, every edge slot should be a matched triple.

If one triple still looks flipped (side colours on top, yellow on the side), that is OLL parity — skip ahead to step 5 after you start the 3×3 last layer, or apply it now with the flipped edge in front.

Step 4 · Solve as a 3×3

Outer turns only. Each 3×3 centre is a 3×3 centre. Each triple edge is a 3×3 edge.

Switch Layer back to Outer. Follow the 3×3 beginner method: white cross, white corners, middle edges, yellow cross, yellow face, then last-layer permutation.

If you already know CFOP, you can use that instead. The extra 5×5 work is already done.

Step 5 · OLL parity

One whole edge looks flipped. This can happen after reduction, same family as 4×4 OLL parity.

Hold the flipped triple at the front. Use the inner-slice algorithm (wings only — not the mid slice). Then continue yellow cross / Sune / PLL as on 3×3.

Layer → Inner for 2R / 2L, Outer for U and F. You will not need the 4×4 PLL-parity algorithm on a 5×5.

Practice path

• Centres only until every 3×3 block matches its fixed middle.
• Pair edges until only two triples remain, then drill last-two-edges separately.
• Solve as a 3×3; when a single edge looks flipped, use OLL parity — do not force 3×3 OLL forever.
• Compare with 4×4 once one big cube feels comfortable.

Stuck?

Centres wrong after pairing: you did not undo a Uw. Restore with the inverse slice, then store the pair again.

A centre 3×3 that is the right colour is solved — the fixed middle cannot be rotated into a wrong colour. If the eight pieces around it are mixed, that centre is not done yet.

If last-layer algorithms from 3×3 scramble the centres, you used an inner, mid, or wide turn by accident. Stay on Outer until you hit last-two-edges or OLL parity.

If you have a physical cube, you can scan all six faces in Cube Lab. That opens Smart Solve, which is a different path from this beginner method.

After this page

The even-cube cousin is How to solve a 4×4 (2×2 centres, two-piece edges, plus PLL parity). Need the 3×3 steps? How to solve a 3×3.