Sudoku Solving Techniques

Every Sudoku is solved with logic, and the logic comes in layers. This collection walks the full ladder of Sudoku solving techniques, from the singles a beginner spots in seconds to the fish, wings, colouring and forcing chains that crack the hardest grids. Each guide explains not just what a pattern looks like but how to recognise it on a real board and why the elimination it produces is always safe.

If you are just starting out, begin with naked and hidden singles, pairs and pointing pairs, then work outward to X-Wings and beyond. Every technique here works exactly the same whether the grid holds numbers or the nine glowing shapes of Shapedoku, so you can practise each one, then try it on Hard or Extreme.

88 articles in this collection

Quick skills

Reading Candidate Counts in Sudoku to Guide Your Next Move

Reading candidate counts sudoku players trust points to the next move; learn how cell and unit counts reveal singles, pairs, and strong links fast.

Advanced Techniques

Contradiction Testing Sudoku: Disciplined Bifurcation Done Right

Contradiction testing sudoku means assuming a candidate, following it to a clash, and eliminating it. Learn to bifurcate cleanly and why logic still wins.

Intersections

Almost Locked Candidates Sudoku: Intersections That Eliminate

Almost locked candidates sudoku explained: how a digit nearly confined to a box-line intersection creates powerful, reliable candidate eliminations.

Solving Guide

When a Sudoku Technique Finds Nothing and What to Try Next

When a Sudoku technique finds nothing, there is usually a reason. Learn why an eliminating move yields no result and what to reach for next.

Quick skills

How to Spot an X-Wing Fast in Sudoku

Learn to spot an X-Wing fast by finding a digit locked to the same two columns in two rows, then clearing it from the rest of those two columns.

Advanced Techniques

Almost Hidden Sets Sudoku: The Hidden-Set Counterpart to ALS

Almost hidden sets sudoku mirrors almost locked sets from the hidden side, giving another route to advanced eliminations. Learn what an AHS is.

Fish Patterns

Sashimi Swordfish Sudoku: The Finned Fish That Still Works

Sashimi swordfish sudoku explained: how the finned, missing-corner form of the swordfish fish pattern still delivers valid candidate eliminations.

Quick skills

How to Spot Pointing Pairs Fast in Sudoku

Learn to spot pointing pairs fast by seeing a candidate confined to one line inside a box, then removing it from the rest of that row or column.

Technique

Sudoku Triangulation: Pin a Shape With Two Lines

Sudoku triangulation pins a shape into one cell using lines from two other boxes. Learn this cross-hatching move and place with confidence.

Coloring

Multi-Coloring Sudoku: Linking Clusters When Simple Coloring Stalls

Multi-coloring sudoku links two separate color clusters when simple coloring runs out of room, unlocking eliminations single colors miss. A clear guide.

Solving Theory

Set Equivalence Theory Sudoku: The Logic Behind Rings and Fish

Set equivalence theory sudoku explained: the base-set and cover-set framework behind fish, rings, and many advanced Sudoku elimination patterns.

Quick skills

How to Spot Naked Pairs Fast in Sudoku

Learn to spot naked pairs fast by finding two cells in a unit that share the same two candidates, then clearing those values from every other cell.

Coloring

Sudoku Coloring Wrap: How Traps and Wraps Force a Solution

A sudoku coloring wrap forces a whole color to be false in one stroke. Learn how color traps and color wraps each crack a grid using simple coloring.

Uniqueness

BUG Plus One Sudoku: How One Cell Cracks the Grid

BUG plus one sudoku explained: how the single three-candidate cell in a near-deadly pattern resolves the whole grid to one safe, unique solution.

Sudoku strategy

Sudoku Candidate Map: How to Read the Grid Behind the Grid

Learn how to read a Sudoku candidate map, spot constrained cells and digits, find useful patterns, and choose the next technique without guessing.

Sudoku strategy

Sudoku Candidate Overload: How to Simplify a Crowded Grid

Fix Sudoku candidate overload by cleaning notes, prioritizing constrained houses, using subsets, and switching to focused scans instead of reading marks.

Sudoku strategy

Sudoku Candidate Elimination: How to Remove Possibilities Safely

Master Sudoku candidate elimination with row, column, box, subset, intersection, and chain logic while avoiding unsupported pencil-mark deletions.

Sudoku strategy

What Sudoku Technique to Use Next: A Practical Decision Guide

Use this guide for what Sudoku technique to use next, from singles and locked candidates to subsets, fish, wings, and chains without random hunting.

Expert Sudoku

Fireworks Sudoku: Using Intersecting Strong Links

Fireworks Sudoku combines intersecting strong links to create a small set of guaranteed positions. Learn the core pattern and how it drives eliminations.

Expert Sudoku

Exocet Sudoku: A Conceptual Guide to Base and Target Cells

Exocet Sudoku uses base candidates and distant target cells in very hard grids. Learn the core relationship, verification mindset, and safe deductions.

Advanced Sudoku

Avoidable Rectangle Sudoku: A Careful Uniqueness Technique

Avoidable Rectangle Sudoku prevents a deadly two-solution pattern after some corners are solved. Learn when the uniqueness logic is safe and valid.

Expert Sudoku

Grouped X-Cycles Sudoku: Using Box Segments as Chain Nodes

Grouped X-Cycles Sudoku lets a node represent several candidates in a box segment. Learn how grouped strong links extend ordinary X-Cycles safely.

Expert Sudoku

Nice Loops Sudoku: How Closed Chains Create Eliminations

Nice Loops Sudoku closes strong and weak implications into a circuit. Learn continuous and discontinuous loop logic without losing the chain.

Expert Sudoku

ALS Chains in Sudoku: Linking Almost Locked Sets Step by Step

ALS chains in Sudoku connect several Almost Locked Sets with restricted common candidates. Learn how the endpoints force clean eliminations.

Expert Sudoku

ALS-XY-Wing Sudoku: Three Almost Locked Sets Working Together

ALS-XY-Wing Sudoku links three Almost Locked Sets through restricted common candidates. Learn the pattern, proof, and endpoint eliminations.

Expert Sudoku

Mutant Fish Sudoku: Mixed Houses in Advanced Fish Logic

Mutant Fish Sudoku mixes rows, columns, and boxes on both sides of a fish. Learn the base-cover idea, verification steps, and common mistakes.

Expert Sudoku

Kraken Fish Sudoku: Combining Fish Patterns With Chains

Kraken Fish Sudoku uses chains to extend a fish beyond direct fin eliminations. Learn the core idea, branch logic, and a safe way to verify targets.

Advanced Sudoku

Finned Swordfish Sudoku: How to Find and Verify the Pattern

Finned Swordfish Sudoku adds a local fin to a three-line fish. Learn the base and cover sets, the two-case proof, and safe eliminations correctly.

Advanced Sudoku

Sashimi X-Wing Sudoku: How the Incomplete Fish Still Eliminates Candidates

Sashimi X-Wing Sudoku is a finned X-Wing with a missing corner. Learn the pattern, the conditional logic, and where eliminations stay valid.

Advanced Sudoku

Turbot Fish Sudoku: A Practical Guide to the Four-Candidate Chain

Turbot Fish Sudoku links two strong links with one weak link. Learn how to spot the four-candidate chain and make safe eliminations correctly.

Learning

The Best Order to Learn Sudoku Techniques, Step by Step

The best order to learn Sudoku techniques, from singles and pairs through fish and wings to chains, so each new skill rests on the last one.

Quick skills

How to Spot Hidden Singles Fast in Sudoku

Learn to spot hidden singles fast with simple scanning habits that reveal the one cell a digit or shape can legally occupy in a row, column, or box.

Advanced Techniques

ALS-XZ Rule Sudoku: Two Almost Locked Sets, One Elimination

The ALS-XZ rule sudoku technique links two almost locked sets through a restricted common digit to force an elimination. A clear, step-by-step explainer.

Uniqueness

Hidden Unique Rectangle Sudoku: A Subtle Uniqueness Trick

Hidden unique rectangle sudoku explained: how the hidden form of this uniqueness technique uses strong links to safely eliminate a candidate.

Expert Sudoku

WXYZ-Wing in Sudoku: A Practical Guide

Learn how WXYZ-Wings use four cells and four candidates to prove a shared elimination in difficult Sudoku puzzles.

Techniques

Single Digit Sudoku Techniques: Skyscraper to Turbot Fish

Single digit Sudoku techniques made clear: skyscraper, two-string kite, empty rectangle and turbot fish, how to spot each and what they eliminate.

Advanced technique

Grouped Nodes Sudoku: Using a Cell Cluster as One Chain Link

Grouped nodes sudoku chains treat two or three cells in a box as one link; learn how grouped nodes extend chains and unlock stubborn eliminations.

Chains

Digit Forcing Chains Sudoku: Branching From a Single Digit

Digit forcing chains sudoku branches from the two spots one digit can take in a house, then keeps the conclusion both branches share. A worked guide.

Solving Method

Nishio Sudoku: Single-Digit What-If Testing Done Right

Nishio sudoku explained: how careful single-digit what-if testing really works, when this method is acceptable, and where its practical limits lie.

Techniques

Sudoku Uniqueness Techniques: Rectangles, BUG and Caveats

Sudoku uniqueness techniques explained: unique rectangle, hidden UR, avoidable rectangle, BUG and BUG plus 1, with the caveats each one requires.

Single-Digit Logic

Broken Wing Sudoku: Guardians and Single-Digit Chains

Broken wing sudoku explained: how single-digit chains and a guardian cell break an illegal loop and let you eliminate candidates with confidence.

Advanced technique

Aligned Triple Exclusion Sudoku: Three Cells, One Verdict

Aligned triple exclusion sudoku extends aligned pair exclusion to three cells; see how a shared region and almost locked sets remove candidates.

Notation

Sudoku Chain Notation: How to Read r1c1, Links, and Shorthand

Sudoku chain notation looks cryptic until you learn it. Decode r1c1 grid references, strong and weak links, and the shorthand experts use for chains.

Techniques

Sudoku Chaining Techniques: A Roadmap From Colouring to AIC

Sudoku chaining techniques from simple colouring to X-chains, XY-chains, AICs and forcing chains, with a clear roadmap for building the skill.

Chains

Cell Forcing Chains Sudoku: One Cell, Every Candidate Tested

Cell forcing chains sudoku tests every candidate in a single cell to find one shared elimination they all agree on. Learn this reliable advanced tactic.

Extreme Solving

SK Loop Sudoku Explained: One Chain, Many Eliminations

SK loop sudoku explained in plain language: how this multi-cell chain around four boxes forces many eliminations at once in the hardest puzzles.

Expert Sudoku

Alternating Inference Chains in Sudoku Explained

Learn how Alternating Inference Chains connect strong and weak candidate links to produce advanced Sudoku eliminations.

Advanced technique

Extended Unique Rectangle Sudoku: The Six-Cell Deadly Pattern

The extended unique rectangle sudoku pattern spans six cells and three shapes; learn its deadly logic and the clean eliminations it hands you.

Advanced Sudoku

Franken Fish in Sudoku: An Advanced Fish Guide

Learn how Franken Fish mix boxes with rows or columns to extend X-Wing, Swordfish, and Jellyfish logic.

Expert Sudoku

Aligned Pair Exclusion in Sudoku Explained

Learn how testing candidate combinations in two cells can rule out values that would break nearby Almost Locked Sets.

Expert Sudoku

Pattern Overlay Method in Sudoku: A Practical Guide

Learn how Sudoku templates reveal candidates that can never appear, or must appear, across every valid pattern for one symbol.

Sudoku scanning

Chute Scanning in Sudoku: How Bands and Stacks Reveal Placements

Use bands, stacks, and box interactions to find hidden placements that ordinary cell-by-cell scanning can miss.

Advanced Sudoku

X-Cycles in Sudoku: A Practical Guide

Learn how X-Cycles use alternating strong and weak links for one candidate to create safe eliminations and placements.

Expert Sudoku

The Death Blossom Sudoku Technique Explained

Understand how one stem cell and several Almost Locked Sets combine to create a precise advanced Sudoku elimination.

Advanced Sudoku

The M-Wing Sudoku Technique Explained

Learn how two matching bivalue cells and one strong link combine to remove a candidate across the Sudoku grid.

Advanced Sudoku

XY-Chains in Sudoku: A Step-by-Step Guide

Learn how a chain of bivalue cells can force one endpoint candidate and remove it from cells that see both ends.

Sudoku technique

Claiming Pairs in Sudoku: Box-Line Reduction Explained

Learn how claiming pairs and triples lock a candidate inside one box and remove it from the rest of a row or column.

Sudoku strategy

Naked Triples and Quads in Sudoku Explained

Learn how naked triples and quads lock candidates into a small set of cells and create clean eliminations across a Sudoku unit.

Expert Sudoku

The Sue de Coq Sudoku Technique Explained

Understand the Sue de Coq pattern at a box-line intersection and learn how its candidate split creates precise eliminations.

Expert Sudoku

3D Medusa Sudoku Coloring Explained

Learn how 3D Medusa links candidates across several symbols and uses two colors to find contradictions and safe eliminations.

Techniques

Sudoku Wing Techniques Compared: XY, XYZ, W and M

Sudoku wing techniques compared: XY-Wing, XYZ-Wing, W-Wing and M-Wing share one idea, and here is how to tell them apart and when each one applies.

Advanced Techniques

Template Deletion Sudoku: Solving a Grid One Digit at a Time

Template deletion sudoku lists every legal pattern a single digit can take, then removes the impossible ones. Learn this systematic solving method.

Symmetry

Gurth's Symmetrical Placement: Solving Sudoku With Symmetry

Gurth's symmetrical placement shows how a puzzle's rotational symmetry forces digits, pairs candidates, and pins the center cell in symmetric Sudoku.

Expert Sudoku

Almost Locked Sets in Sudoku Explained

Understand Almost Locked Sets, how they interact through restricted common candidates, and why they power advanced eliminations.

Advanced Sudoku

The Finned X-Wing Sudoku Technique Explained

Learn how a near X-Wing with one extra candidate can still remove a value when the fin and target share the same box.

Sudoku candidates

Bivalue Cells in Sudoku: Why Two Candidates Matter

Learn why cells with exactly two candidates are valuable, how they support wings and chains, and when they create immediate progress.

Advanced Sudoku

Strong and Weak Links in Sudoku Explained

Understand strong and weak candidate links, the foundation behind coloring, chains, wings, and many advanced Sudoku deductions.

Advanced technique

Unique Rectangle Types Sudoku: Type 1 to Type 6 Explained

The main unique rectangle types sudoku solvers use, from Type 1 to Type 6, explained with clear corners and the deadly pattern behind each one.

Expert Sudoku

Forcing Chains in Sudoku: A Practical Introduction

Use controlled assumptions to follow candidate consequences and find conclusions that remain true across every possible branch.

Techniques

Sudoku Fish Techniques: A Roadmap From X-Wing to Jellyfish

Sudoku fish techniques explained as a learning path from X-Wing to Swordfish, Jellyfish, and finned or sashimi fish, with clear worked examples.

Advanced Techniques

Bowman's Bingo Sudoku: A Structured Last-Resort Chain Method

Bowman's Bingo sudoku is a disciplined trial-and-error method for the hardest grids. Learn how to run a clean, reversible chain and when to reach for it.

Advanced Technique

Phistomefel Ring Sudoku: The Hidden Equality Expert Solvers Love

Phistomefel ring sudoku explained: what the 16-cell ring is, why the border and corner sets hold equal digits, and how expert solvers use it.

Advanced technique

Finned Jellyfish Sudoku: How the Fin Limits Eliminations

Finned jellyfish sudoku keeps a near-miss four-line fish alive with one stray candidate, letting you make a single safe elimination inside the fin box.

Advanced

The XY-Wing Technique in Sudoku Explained

The xy-wing sudoku move is a three-cell chain that clears candidates the X-Wing cannot reach. Learn the pivot, the two pincers, and how to spot one.

Advanced

The X-Wing Technique in Sudoku Explained Simply

The X-Wing Sudoku technique looks advanced but the idea is simple. Learn to spot the rectangle pattern and use it to crack hard and extreme boards.

Technique

Naked Pairs and Pointing Pairs Explained

Naked pairs sudoku players learn alongside pointing pairs are two elimination moves that unlock hard boards by removing candidates without any guessing.

Sudoku strategy

The Swordfish Sudoku Technique, Explained

The swordfish sudoku technique is the three row version of the X Wing. Learn to spot it with a worked example and crack the toughest Sudoku boards.

Technique

Naked Singles and Hidden Singles Explained

The naked single sudoku move and its cousin the hidden single solve most of every easy and medium board. Learn what they are and how to spot them.

Sudoku strategy

The Skyscraper Technique in Sudoku

The Skyscraper Sudoku pattern clears candidates with two short conjugate pairs of one digit. Learn to see it with a clear worked example and a hunting tip.

Sudoku strategy

Simple Coloring in Sudoku, Step by Step

Sudoku coloring chains a single digit through the grid with two colors, then clears any cell that sees both. Learn the method with a full worked example.

Sudoku strategy

Unique Rectangles and the Deadly Pattern

The Unique Rectangle Sudoku move uses the fact that a proper puzzle has one solution to remove candidates. Learn to spot and use the deadly pattern here.

Sudoku strategy

The Jellyfish Technique in Sudoku

The Jellyfish Sudoku technique is the four by four member of the fish family, after the X-Wing and Swordfish. See how it works with a clear worked example.

Sudoku strategy

The XYZ-Wing Technique, Explained

The XYZ-Wing sudoku technique extends the XY-Wing with a three candidate pivot. Learn to spot it, and see exactly which cell it lets you clear.

Sudoku strategy

Hidden Pairs and Triples in Sudoku, Explained

Hidden pairs and triples unlock cells that naked pairs miss. Learn to spot them with a worked example and clear crowded candidates on hard Sudoku boards.

Sudoku strategy

Remote Pairs in Sudoku

The remote pairs Sudoku technique links identical bivalue cells into a chain of opposites, so any cell seeing both ends loses both candidates.

Sudoku strategy

The Two-String Kite in Sudoku

The two string kite in Sudoku joins a row pair and a column pair through a shared box to clear one cell. Learn to spot the pattern and eliminate.

Sudoku strategy

The Empty Rectangle Technique, Explained

The empty rectangle Sudoku move pairs a digit trapped in one box with a strong link to clear a cell at the crossing. See it worked step by step here.

Sudoku strategy

The W-Wing Technique in Sudoku

The W-Wing Sudoku move links two matching pairs through a strong link to clear a shared candidate. Learn to spot this tidy pattern with a worked example.

Other topics