Questions tagged [dominoes]

A puzzle that involves tiles (or the concept of tiles) in the shape of 2x1 rectangles, divided into 2 squares, each containing 0 to 6 spots. It may require knowledge of general rules of the game, Dominos, or it may simply use the number of spots, on the tiles, as clues for a solution.

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Friday's Fujisan Problem

Four Shinto Priests have traveled from their various prefectures in pilgrimage to the top of Mount Fuji. You must find pathways for them to move up and down the mountain until they can all achieve the ...
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3 votes
2 answers
189 views

Wednesday's Fujisan Problem

Four Shinto Priests have traveled from their various prefectures in pilgrimage to the top of Mount Fuji. You must find pathways for them to move up and down the mountain until they can all achieve the ...
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  • 2,378
9 votes
3 answers
303 views

Monday's Fujisan Problem

Four Shinto Priests have traveled from their various prefectures in pilgrimage to the top of Mount Fuji. You must find pathways for them to move up and down the mountain until they can all achieve the ...
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  • 2,378
2 votes
1 answer
78 views

Friday's Capturing Donimoes Problem

I just published my Donimoes collection of new games and puzzles as a book, so I'm celebrating by posting a few bonus problems this week. The puzzle is Capturing Donimoes, which I designed to feel ...
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2 votes
1 answer
84 views

Wednesday's Capturing Donimoes Problem

I just published my Donimoes collection of new games and puzzles as a book, so I'm celebrating by posting a few bonus problems this week. The puzzle is Capturing Donimoes, which I designed to feel ...
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  • 2,378
7 votes
1 answer
162 views

Monday's Capturing Donimoes Problem

I just published my Donimoes collection of new games and puzzles as a book, so I'm celebrating by posting some bonus problems this week. Capturing Donimoes is a puzzle I designed to feel like a safari ...
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  • 2,378
2 votes
1 answer
154 views

No-Luck Riomino

Kris Burm's Riomino (or Tashkent Domino) is played with 25 identical dice that look like this: The actual rules are as follows. Each player rolls 12 dice that then serve as their "dominos" ...
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1 vote
1 answer
161 views

Divide a board into two pieces without cutting a domino

Saw this question in the book, "A Moscow Math circle" by Dorichenko. Eighteen 2x1 dominoes cover a 6x6 board without overlapping each other or the sides of the board. Prove that, for any ...
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1 vote
1 answer
111 views

Friday's Bee Donimoes Problem

A swarm of dice bring nectar back to the hive from a domino garden. I just finished adding a new puzzle race game to Donimoes, my collection of domino puzzles and games, so I thought I would post a ...
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  • 2,378
3 votes
1 answer
106 views

Wednesday's Bee Donimoes Problem

A swarm of dice bring nectar back to the hive from a domino garden. I just finished adding a new puzzle race game to Donimoes, my collection of domino puzzles and games, so I thought I would post a ...
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  • 2,378
4 votes
1 answer
138 views

Monday's Bee Donimoes Problem

A swarm of dice bring nectar back to the hive from a domino garden. I just finished adding a new puzzle race game to Donimoes, my collection of domino puzzles and games, so I thought I would post a ...
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  • 2,378
1 vote
1 answer
103 views

4-DominoBrane #002 "81"

Here is another domino puzzle. This is considerably easier than puzzle set earlier this week, and definitely doesn’t need bifurcation. This uses 4-Dominoes (all the normal dominoes, minus any with a 5 ...
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1 vote
1 answer
132 views

4-DominoBrane Exclusive

Here is a smaller puzzle from the set of domino puzzles, I call DominoBrane. This uses 4-Dominoes (all the normal dominoes, minus any with a 5 or a 6). Each domino ...
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4 votes
1 answer
179 views

DominoBrane - Chained Domino Fitting

So I've been working on a set of domino puzzles, I call DominoBrane recently, it's sort of similar to Dominosa - except that, unlike Dominosa, the rules of the ...
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  • 563
15 votes
5 answers
982 views

Domino tiling on 8x8 checkerboard with four squares removed

I once posted this problem on the (now deleted) Area 51 Math Puzzles proposal. It was well-received there, but obviously I didn't get an answer. I still don't know the answer, and I'm not even sure if ...
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3 votes
3 answers
347 views

Sequence of domino tiles - next term's difference of pips

The problem is as follows: A set of domino tiles is placed with one next to another as indicated in the diagram below. If the upper half of the next piece is labeled x and the lower half is labeled ...
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1 vote
2 answers
257 views

Does a systematic way to solve a magic square made up of domino pieces exist?

I've found this problem in an older book which goes by the name of Logical aptitude circa 2019. It doesn't list any other markings. The thing is no matter how I attempt to look into it, I'm trapped in ...
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23 votes
2 answers
525 views

Dominoroto-toto

Consider a domino tiling of a plane rectangle of size $n \times m$. (Obviously, at least one of $m$ and $n$ has to be even for that to be possible.) I personally hate those because they tend to look ...
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7 votes
1 answer
111 views

Minimal 2D pattern for domino tiles where each tile touches three others

Inspired by The five problems of the six domino tiles, where one of the tasks was to place six domino tiles so that each tile touches three others (corner / edge touches don't count). My solution ...
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14 votes
2 answers
895 views

The five problems of the six domino tiles

Here is a set a problems (regarding domino tiles) of a famous Portuguese newspaper weekly magazine. For each problem you have $6$ domino tiles and the goal is always to place them touching each other ...
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11 votes
3 answers
392 views

Perfect Latin Squares

The following Latin Square has an interesting property: there are 6*5=30 possible “ordered dominos” containing distinct digits, each occurring exactly once horizontally and exactly once vertically. ...
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6 votes
2 answers
189 views

Friday's Mirror Donimoes Problem

Help four ghosts find each other in a haunted house. I just finished adding a new puzzle to Donimoes, my collection of domino puzzles and games, so I thought I would post a few bonus problems here. ...
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  • 2,378
4 votes
1 answer
138 views

Wednesday's Mirror Donimoes Problem

Help four ghosts find each other in a haunted house. I just finished adding a new puzzle to Donimoes, my collection of domino puzzles and games, so I thought I would post a few bonus problems here. ...
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  • 2,378
7 votes
3 answers
263 views

Monday's Mirror Donimoes Problem

Help four ghosts find each other in a haunted house. I just finished adding a new puzzle to Donimoes, my collection of domino puzzles and games, so I thought I would post a few bonus problems here. ...
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  • 2,378
7 votes
1 answer
259 views

Catch 21: Lies in Advertising

I posted a few Dominosa puzzles this week to celebrate adding Dominosa to my Donimoes collection of domino puzzles and games. Now, I want to finish the week with something a little different. What ...
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7 votes
2 answers
379 views

Friday's Dominosa Problem

Dominosa is a logic puzzle with a similar feel to Sudoku, and I've recently added it to Donimoes, my collection of domino puzzles and games. Given a grid of numbers, you have to lay out the dominoes ...
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  • 2,378
9 votes
2 answers
234 views

Wednesday's Dominosa Problem

Dominosa is a logic puzzle with a similar feel to Sudoku, and I've recently added it to Donimoes, my collection of domino puzzles and games. Given a grid of numbers, you have to lay out the dominoes ...
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  • 2,378
5 votes
2 answers
205 views

Monday's Dominosa Problem

Dominosa or Domino Solitaire is a logic puzzle with a similar feel to Sudoku. Given a grid of numbers, you have to lay out the dominoes so they match the numbers, without duplicated or missing ...
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  • 2,378
-1 votes
2 answers
121 views

What numbers should A & B be? [closed]

1 4 3 1 A 2 2 6 4 B What numbers should A & B be, with each vertical column being a domino tile.
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3 votes
1 answer
192 views

A game of cross-dominos

The grid above shows the final layout of a domino game played with a standard $28$-tile (dominos $0-0$ to $6-6$). The first domino played, the $4-4$ double is given, and solvers must complete the ...
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2 votes
3 answers
284 views

Place 28 dominoes into a 7x8 rectangle

A standard set of double-six dominoes has 28 tiles with 2 numbers on each side from 0 to 6. Tiles can be placed next to each other if all the touching numbers match (from all 3 adjacent sides). Can ...
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4 votes
1 answer
219 views

Place 28 dominoes in a loop

A standard set of double-six dominoes has 28 tiles with 2 numbers on each side from 0 to 6. Tiles can be placed next to each other if the numbers at each end match. Can you place all the 28 tiles such ...
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11 votes
2 answers
868 views

Piece de Resistance - Two Boxes, Two Boxes of Letters

Two - Boxes, Two Boxes of Letters This puzzle is part of the "Piece de Resistance" series. Go back to Part 1 (Ace) for the story.Ace Two Three Four Five ... Out of Character: Finally, a ...
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0 votes
1 answer
342 views

Introducing WorDonimoes$^2$

@Don Kirkby have designed a set of dominoes puzzles that they call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. I have altered ...
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8 votes
1 answer
129 views

Fridays's Unmatched Donimoes Problem

I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. The goal is to slide all the ...
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  • 2,378
5 votes
1 answer
130 views

Thursday's Unmatched Donimoes Problem

I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. The goal of Unmatched Donimoes ...
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  • 2,378
5 votes
1 answer
124 views

Wednesday's Unmatched Donimoes Problem

I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. The goal of Unmatched Donimoes ...
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  • 2,378
6 votes
2 answers
120 views

Tuesday's Unmatched Donimoes Problem

I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. The goal of Unmatched Donimoes ...
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  • 2,378
14 votes
2 answers
571 views

Monday's Unmatched Donimoes Problem

I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis. Goal Slide all the dominoes into ...
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  • 2,378
4 votes
1 answer
280 views

Tactical Domino Placement Game

Alice and Bob take turns to place regular dominoes into a $7\times8$ board. The first player who cannot go loses. Is there a winning strategy for either player? Note that in this version the pips on ...
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  • 35.4k
12 votes
1 answer
302 views

A Domino Rectangle

Can you arrange a standard set of $28$ dominoes into a rectangle of $7\times8$, where each of the 8 rows sum to $21$ and each of the 7 columns sum to $24$? Image from WikiPedia. Or, alternatively, ...
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  • 35.4k
8 votes
1 answer
306 views

Domino Tiling Game

Two players are presented an $n\times n$ grid. They take turns placing a piece on the board until no more moves are possible. The last player able to make a move is the winner. The pieces are $2\times ...
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  • 14.3k
13 votes
3 answers
496 views

How many tilings by dominoes of this region?

Here's a shape that could be tiled by dominoes. Without the fault line there are 64 tilings. With fault line how many possible tilings are there? ...
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20 votes
2 answers
505 views

A puzzle with dominoes

I've got a puzzle using dominoes for all here at Puzzling. I came up with it while playing around a few days ago, and I know it can be solved. It may not be a new idea, but to the best of my knowledge,...
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  • 303
4 votes
1 answer
165 views

Dominoes where NO two connected tiles have a number in common

Take the following set of ten dominoes: 0 | 1, 0 | 2, 0 | 3, 0 | 4, 1 | 2, 1 | 3, 1 | 4, 2 | 3, 2 | 4, 3 | 4 Arrange the dominoes With Rules : NO two connected tiles have a number in common. 2 ...
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22 votes
3 answers
1k views

Introducing Domidoku!

Come one, come all! Come see the new type of logic puzzle, the Domidoku! Here's a sample for all to try! The process is simple! First you solve the Sudoku and then you solve the Dominosa! ...
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  • 7,706
4 votes
2 answers
696 views

What is the largest domino ring that can be made?

Taken from UK Bebras Computational Thinking Challenge I am particularly interested to see how you can go through this systematically as opposed to using trial and error. Clarification edits: The ...
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3 votes
1 answer
159 views

4 walls of domino tower

How can I rearrange the domino tiles below so that all vertical columns has 0,1,2,3,4,5,6. While all the horizontal rows has 0,1,2,3,4,5,6 + duplicate ?
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  • 6,606
9 votes
2 answers
379 views

Cover the terrace with "slashed" tiles

Peter has a rectangular terrace with integer sides. He plans to tile this terrace, with the ultra-modern 'slashed tiles". Each tile is a $2\times 1$ rectangle, with a diagonal, called its "slash". A ...
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  • 17.8k
39 votes
6 answers
3k views

One rectangle, indivisible

Here is a rectangle made out of 2x1 dominoes: It can be divided along a line into two smaller rectangles: What is the smallest (in area) rectangle of (edit) multiple 2x1 dominoes that cannot be ...
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