What disappears on a 2×2, why a 4×4 needs centres and edge pairing, and how 5×5, 6×6, 7×7 and larger cubes fit into the family.
In this guide
2×2 · Eight corners
With no edges or visible centres, only corners remain. Solve a complete first layer, not just one colour. Infer the colour scheme from neighbouring corners, then position and orient the remaining corners. The 3×3 corner stages transfer if you use imaginary centres as references.
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Geometrically calculated 3D teaching view. 2×2×2: equal body edges and correctly projected face grids.
4×4 · Reduce first
Build six 2×2 centre blocks in the correct colour scheme. Pair matching edge wings, then treat each pair as one 3×3 edge and solve the outer layers. Preserve completed centres while pairing. A seemingly flipped edge pair or two swapped pairs are reduction parity cases; they need appropriate inner-layer algorithms rather than more 3×3 repetitions.
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Geometrically calculated 3D teaching view. 4×4×4: equal body edges and correctly projected face grids.
Further reading: Jaap Scherphuis: Rubik’s Revenge
5×5 · Extend centres and edges
Fixed centres define the colour scheme. Build centre blocks around them, group edges into triples and reduce to a 3×3. The middle edge piece provides a useful anchor. Special last-edge cases can occur; “odd cubes never have parity” is too broad as a learning rule.
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Geometrically calculated 3D teaching view. 5×5×5: equal body edges and correctly projected face grids.
6×6 · Multiple edge orbits
A 6×6 has four small pieces along each outer edge. Distinguish inner and outer orbits, build centres and pair matching pieces within their orbits. Only then treat completed edge groups as 3×3 edges. Keep the selected colour scheme consistent during every centre-building phase.
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Geometrically calculated 3D teaching view. 6×6×6: equal body edges and correctly projected face grids.
6×6, 7×7 and beyond
Larger cubes add centre and edge orbits that must be handled separately. Like a 4×4, a 6×6 lacks single fixed face centres, while a 7×7 has them. The broad route is centres → edge groups → outer 3×3 solution → remaining special cases. Our playable cube sizes are 2×2, 3×3 and 4×4; larger sizes are editorial examples.
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Geometrically calculated 3D teaching view. 7×7×7: equal body edges and correctly projected face grids.