Questions tagged [grid-deduction]

Puzzles such as Sudoku or Kakuro, where the final state of a pre-existing grid must be deduced logically through clues placed within and/or around the grid. Use with the [logical-deduction] tag. For puzzles where you are given a list of clues which can be used to compose a grid to solve them logically, use the [logic-grid] tag instead.

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This new puzzle type needs a name

I believe I have invented a new type of puzzle... What is its name? Colour-blind-friendly version available here. Begin by solving the 16x16 sudoku; each of the digits 1-16 must appear exactly ...
Stiv's user avatar
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84 votes
2 answers
5k views

My God, it's full of stars!

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids My dear friend, unknown to us, may have relocated again. He sent me imagery and constellation maps indicating that a distant red ...
paramesis's user avatar
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81 votes
1 answer
3k views

Empty sudoku puzzle

The rules are the same as for a normal sudoku puzzle. The only thing different is that instead of numbers for clues, you have greater than/less than (> <) signs between the cells. Have fun solving!...
Maria Ivanova's user avatar
67 votes
2 answers
5k views

Sudoku like you've never seen it before

I've spent this week trying to create a difficult logic puzzle which is a combination of two Sudoku varaints, 'Samuari Sudokus' and 'Pseudokus', and this combo is unlike anything you can find online. ...
Beastly Gerbil's user avatar
66 votes
2 answers
7k views

Happy Pi-Day! Try to solve this "PiDoku"

To celebrate the Pi-Day (3/14) adequately, a challenging math puzzle must not be missing. Rules: Fill in the numbers 1-9 exactly once in every row, column, and region. On top of that, you need to ...
NAMELESS's user avatar
  • 1,360
64 votes
4 answers
5k views

Gerrymandering Puzzle - Rig the Election

The following graphic is a map of the country Mathlandia: You are currently running for reelection, but the polls aren't exactly in your favor. Each square in this grid is a county. Counties with a ...
greenturtle3141's user avatar
62 votes
3 answers
3k views

R.H.P.C. crossword puzzle

This is an entry into the Fortnightly Topic Challenge #36 I got a ticket to the Red Herring Puzzle Club in the middle of the street. There was just a guy giving them out, like some advertisement ...
Thomas Blue's user avatar
  • 6,802
61 votes
1 answer
4k views

The Ludicrous Loop: over a thousand cells of circular logic!

Flavourtext is for flavour only. Ladies and Gentlemen, are you feeling ludicrous today? A little loopy, perhaps? Then come one, come all, for I have just the thing for you. Lampreys and Jellyfish, ...
TheGreatEscaper's user avatar
60 votes
4 answers
83k views

What is the maximum number of solutions a Sudoku puzzle can have?

I've seen Sudoku puzzles that can be solved two different ways. Referring to a traditional 9x9 grid: Is it possible for a Sudoku puzzle to have more than two solutions? If so, what is the maximum ...
WendiKidd's user avatar
  • 2,393
54 votes
1 answer
3k views

Japanese Fusion Alphabet Soup

The Dish... ...is an intriguing blend, with a base of classic Western flavours, and a twist of the Orient at its heart. The Ingredients... ...are diverse and are combined in such an unexpected - dare ...
Alconja's user avatar
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52 votes
4 answers
2k views

Desert Irrigation Project

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids My dear friend researches and designs canal irrigation systems in a remote desert. He's been missing for two weeks. Members of ...
paramesis's user avatar
  • 4,599
51 votes
5 answers
5k views

Prime Number Snake

Place numbers 1 to 100 in the cells of the 10 x 10 board below in such a way that consecutive numbers occupy neighboring cells (either horizontally or vertically). Shaded cells should contain only ...
Bernardo Recamán Santos's user avatar
49 votes
4 answers
3k views

Five Slitherlinks

Solve five Slitherlinks, each with a unique solution. Please say a word regarding (or show an image depicting) each solution method.
DyingIsFun's user avatar
  • 9,166
47 votes
4 answers
5k views

Who am I??? Wait, isn't this a sudoku?

Jmw jrr qtlf tv ee M6SXr rro tr kz r tyr. Can you find out who I am? Hint 1: Hint 2:
Maria Ivanova's user avatar
47 votes
3 answers
3k views

Animal Cross(word)ing

An entry in Fortnightly Topic Challenge #43: Variety Crossword Grids Each of the 40 clues listed below (a mix of pop culture and science/nature) yields the name of an animal. Your task is to solve ...
Stiv's user avatar
  • 134k
47 votes
2 answers
2k views

Circuit Diagram

An entry to Fortnightly Topic Challenge #35: Restricted Title 1 - based on the following xkcd. Circuit diagrams can be quite difficult to understand, so here are some documents that will hopefully ...
phenomist's user avatar
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46 votes
2 answers
3k views

One 'double agent' two-step on a waltzing floor

I'm in a jam – cornered I am! – No clue 'bout where to go Here's what went down, a pretty gown Some wine, a French chateau She whispered underneath her breath "Come dance with me and ...
OnlyF's user avatar
  • 2,555
45 votes
2 answers
2k views

I am an island (ysaujdiolkiun)

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids I received an envelope containing two drawings and no return address. I would recognize that handwriting anywhere - my dear friend ...
paramesis's user avatar
  • 4,599
44 votes
4 answers
7k views

WITLESS - A Puzzling Journey

IMPORTANT! READ ME: The only 'puzzle' parts of this are the links, titled 'Set X', 'Inscription X', or 'Constellation X'. Everything else is flavortext, apart from this readme section, although the ...
TheGreatEscaper's user avatar
43 votes
4 answers
2k views

fill this grid with water!

In this puzzle you have to fill with water some cells of the grid. The number of filled squares in each row and column is written next to it. You can't fill a square if the squares connected to it (...
faZ's user avatar
  • 533
43 votes
1 answer
2k views

This new puzzle type needs a name {EXTREME EDITION}

A companion puzzle to the 'This new puzzle type needs a name' series, and inspired in part by @JeremyDover's answer to a recent question. Usually, puzzles in this series comprise a mash-up of two ...
Stiv's user avatar
  • 134k
42 votes
4 answers
2k views

GRID-THIRTY-SIX

Solve 36 puzzles (or more) to find the final 6 letter answer.
TheGreatEscaper's user avatar
42 votes
2 answers
2k views

Now You're Packing with Portals #1

I was staring at my window last night, and daydreaming (nightdreaming?) about filling it with shapes. Suddenly, I was struck with inspiration for a new type of puzzle! Here's a fairly easy instance: ...
Woofmao's user avatar
  • 1,580
41 votes
2 answers
3k views

Q: What kind of logic puzzle would you like? A: Yes

A recent post and Stiv's answer provided inspiration for a new puzzle. I posted a study for this puzzle earlier; this is the bigger effort envisioned. I hope you enjoy! This puzzle consists of four ...
Jeremy Dover's user avatar
  • 26.5k
40 votes
6 answers
2k views

Sudoku embedded in a Kakuro

In addition to standard Kakuro rules, the grey shaded cells must form a valid Sudoku solution. One sum in this puzzle has been corrected from 28 to 23. Fortunately, it was in a location that nobody ...
paramesis's user avatar
  • 4,599
40 votes
2 answers
2k views

Magic Maze Puzzle

Inspired by the board game, Magic Maze Set-up: Cut out each 4x4 tile, and the four small tokens (orange, yellow, green and purple), from the provided image below. Place tile 1 on a flat surface with ...
boboquack's user avatar
  • 21.9k
40 votes
1 answer
2k views

Introducing: Number Slope™

Number Slope™1 is an original2 grid deduction puzzle similar to Sudoku. It is solved on an n-by-n grid, tiled with n n-ominoes. The rules are: Each number from 1 to n must occur once and only once in ...
Volatility's user avatar
  • 5,109
39 votes
1 answer
1k views

Didn't you ask me for a crossword?

An entry in Fortnightly Topic Challenge #forty-seven: "Wacky Sudokus" Here's that crossword you asked for... Sorry, what's that - you didn't ask me for a crossword?? TASK: Solve the puzzle ...
Stiv's user avatar
  • 134k
37 votes
3 answers
2k views

Sjudoku - in a world where 9 is replaced by 7

Sjudoku (sju = seven in Swedish). Rules similar to Sudoku applies: In each disk, the numbers 1,2,...7 should appear exactly once. No line may contain duplicate digits (note that there are lines in 3 ...
Per Alexandersson's user avatar
37 votes
4 answers
2k views

Self-contained math crossword with if-then-else clues

An entry in Fortnightly Topic Challenge #43: Variety Crossword Grids Since I'm not good with with words and crosswords, here is a math crosswords: to know all the operands for the calculations you ...
melfnt's user avatar
  • 5,112
36 votes
3 answers
4k views

The Determinant Sudoku

The determinants of $2\times 2$ matrices are calculated this way: $$\det\begin{bmatrix}a & b \\c & d \end{bmatrix}=ad-bc$$ And here's the sudoku-determinant puzzle: What's the solution for ...
MCCCS's user avatar
  • 685
34 votes
2 answers
3k views

Question 16 Ripple Effect

This is a Ripple Effect puzzle. The rules of this puzzle are: Fill in each region with numbers from 1 to n, where n is the region size. For instance, the top left region must have the numbers 1 to 5 ...
Deusovi's user avatar
  • 145k
34 votes
1 answer
3k views

MASTERING Sudoku

Fill the grid with letters M, A, S, T, E, R, I, N and G. Standard Sudoku rules apply. Additionally, the words on the right-hand side must appear in the given orientation (across/down). Each word ...
cardboard_box's user avatar
34 votes
1 answer
2k views

Can you solve this gogen puzzle?

I created this gogen puzzle myself: Add the 25 letters between A and Y to the grid above. Each one should appear exactly once. When you have finished, you must be able to spell the following words ...
International DBA's user avatar
33 votes
2 answers
3k views

I've been everywhere, man

I am a knight facing a plight My dearest one of all Lives in a tower and won’t come out Unless her name I call I went to pick her up today And though my mind was set To do so, as I ...
OnlyF's user avatar
  • 2,555
33 votes
2 answers
3k views

Sudoku on a Mobius Strip

Well we've done sudoku on keyboards, so the next step is obviously putting a Sudoku on a Mobius strip... of course... I present, the world's very first MOBIUS SUDOKU: Now this sudoku is going to be a ...
Beastly Gerbil's user avatar
32 votes
6 answers
3k views

A Six-Faced Puzzle

Here is a grid-deduction puzzle, whose mechanics I have seen under several names such as 'Castle Wall', which is the one I'll use here. The goal of Castle Wall is to draw a loop enclosing all the ...
TheGreatEscaper's user avatar
32 votes
2 answers
2k views

Parallelisation

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids Puzzlers, I am presenting a set of six duo-grids! Of course, I need to tell you how they work - you are given a grid. Looking at it,...
Wen1now's user avatar
  • 9,243
31 votes
2 answers
8k views

Is this Hashi puzzle unsolvable?

I found this puzzle in my dad's bathroom. The book is "Things To Do While You Poo On The Loo". I think the puzzle is malformed. Here is a Penpa link to an online solver. Is there actually an ...
ConnieMnemonic's user avatar
31 votes
5 answers
2k views

Making Things Difficult

An entry in Fortnightly Topic Challenge #35: Restricted Title 1. Factoring the Time Think fast! If you're looking for meaning, these clocks have some for you. Keyboards are Disgusting Gunky ...
ManyPinkHats's user avatar
  • 7,119
31 votes
3 answers
3k views

Messages hidden in the "visit every square once" puzzle

I proposed my girlfriend yesterday, asking her to be my wife. but she did not answer me. Besides she gave me this 6 puzzles, below. She said I will know her answer after solving the puzzles. Inside ...
Jamal Senjaya's user avatar
30 votes
7 answers
5k views

Almost impossible Sudoku like puzzle

I was set a puzzle in my math class. I tried to do it using an equation but it didn't work it looked like a trial and error puzzle so I took it into school and the math teachers couldn't solve it. Is ...
Plasman's user avatar
  • 421
30 votes
1 answer
6k views

My IQ will be so high if someone can solve this for me

This puzzle is part of the Monthly Topic Challenge #2: IQ Puzzle Parody I'm stumped with the IQ test question below. Can anyone give me a hand so I can prove how smart I am? Which of the three ...
Jafe's user avatar
  • 76.2k
30 votes
1 answer
695 views

Pikurossword, or: Three-in-One

This is an entry into the Fortnightly Topic Challenge #36. [edit: i hope this wasn't too bad for my first puzzle here! let me know how i did :)] The answer to this puzzle should answer the question: ...
Level 51's user avatar
  • 2,106
30 votes
1 answer
845 views

PSE Advent Calendar 2021 (Day 20): Candy Cane Sudoku

This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > So I was ...
Jeremy Dover's user avatar
  • 26.5k
30 votes
1 answer
1k views

Hokuro Puzzle: Introduction

This is an entry for Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community. This puzzle type is inspired by Kakuro, and it has similar rules. Kakuro is short for '...
sarsaparilla's user avatar
  • 5,433
29 votes
11 answers
4k views

Is there a puzzle that is only solvable by assuming there is a unique solution?

Is it possible to construct a puzzle that is: Solvable if you assume there is a single unique solution Not solvable if you do not make this assumption My intuition says that the answer is "No&...
Nathan Merrill's user avatar
29 votes
3 answers
1k views

Oh no, it's another safe!

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids Oh, did I feel proud after solving the last safe... until I was immediately dimension-doored (or something) into this room! Damn ...
BmyGuest's user avatar
  • 18.1k
29 votes
3 answers
3k views

Coloring a 4 by 4 grid

I made this simple puzzle a couple of years ago. There are three colors which appear in every row and every column. Moreover, every color appears 5 or 6 times in total. Find the color of the square ...
Alexandros's user avatar
  • 1,137
29 votes
1 answer
1k views

Every Fourth Wormhole

An entry in Fortnightly Topic Challenge #33: Surface Geometry Mazes
paramesis's user avatar
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