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How many roads in a Tak square? |
The board game Tak is played on a chess-like board of variable size (most commonly, 5x5 and 6x6). Players place and move pieces on the board with the goal of creating a "road", which is a string of pieces that connects two opposite ends of the board. The pieces connect to each other vertically or horizontally, but NOT ... |
The board game Tak is played on a chess-like board of variable size (most commonly, 5x5 and 6x6). Players place and move pieces on the board with the goal of creating a "road", which is a string of pieces that connects two opposite ends of the board. The pieces connect to each other vertically or horizontally, but NOT ... |
I haven't posted for a long long time, so here is an interesting combinatorics problem!
___
There is a table with $n$ rows and $18$ columns. Each of its cells contains a $0$ or a $1$. The table
satisfies the following properties:
(i) Every two rows are different.
(ii) Each row contains exactly $6$ cells that c... |
I haven't posted for a long long time, so here is an interesting combinatorics problem!
___
There is a table with rows and 18 columns. Each of its cells contains a 0 or a 1. The table
satisfies the following properties:
(i) Every two rows are different.
(ii) Each row contains exactly 6 cells that contain 1.
... |
So, I got curious if I could solve from the cube in a cube in a cube in a cube position to the solved state just using it's own algorithm. This is the one I was using:
> B' 2R2 2L2 U2 2R2 2L2 B F2 R U' R U R2 U R2 F' U F' u l u' f2 d r' u f d2 r2
>
>Where 2R2 and 2L2 mean to move the center slice 180 degrees and u... |
Is it possible to solve the Cube in a Cube in a Cube in a Cube state using it's own algorithm on a 4x4? |
So, I got curious if I could solve from the cube in a cube in a cube in a cube position to the solved state just using it's own algorithm. This is the one I was using:
> B' 2R2 2L2 U2 2R2 2L2 B F2 R U' R U R2 U R2 F' U F' u l u' f2 d r' u f d2 r2
Where 2R2 and 2L2 mean to move the center slice 180 degrees and u, ... |
So, I got curious if I could solve from the cube in a cube in a cube in a cube position to the solved state just using its own algorithm. This is the one I was using:
> B' 2R2 2L2 U2 2R2 2L2 B F2 R U' R U R2 U R2 F' U F' u l u' f2 d r' u f d2 r2
Where 2R2 and 2L2 mean to move the center slice 180 degrees and u, l... |
Is it possible to solve the Cube in a Cube in a Cube in a Cube state using its own algorithm on a 4x4? |
The situation gets a lot simpler to reason about if we reformulate it in terms of
>! sets
...instead of a binary array.
In particular,
>! Consider subsets of $\{1,2,\cdots, 18\}$. To each row associate a $6$-element subset as follows: if there is a $1$ in the $i$-th column, put $i$ in our subset; otherwise... |
Can you place 9 letters in a 3x3 grid such that each row and column forms a 3-letter word? Rows are read left to right, while columns are read top to bottom. I will accept words that are found in this Scrabble [dictionary][1].
[1]: https://scrabblewordfinder.org/dictionary-checker |
Can you place 9 letters in a 3x3 grid such that each row and column forms a **distinct** 3-letter word? Rows are read left to right, while columns are read top to bottom. I will accept words that are found in this Scrabble [dictionary][1].
[1]: https://scrabblewordfinder.org/dictionary-checker |
At first, I was a fictional alien detection base.
Three years later, I was founded as a memory manufacturing corporation.
What am I?
|
Given enough time, you can solve a large 2D maze by simply following a wall. Is there any similar strategy for solving a 3D maze that can be used (no marking/memorizing places you've seen in the maze is required)? |
Somebody corrupted my QR Code.
Can you tell me who did this and when it happened?
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/zWSty.png |
I have created a pattern that is fairly interesting. It is discoverable from a geometric shape. The sequence begins:
1,2,4,9,1,18,1,2....
It is a repeating pattern.
It could be an infinite repeating pattern if you continue the iterations. With an infinitely high number. (This specifically is not)
It's highest term... |
Math sequence. What number comes next? |
My previous word puzzle failed miserably, so I am going to try again.
Can you place $n$ characters in a circle, such that a **distinct** word is formed when you read $n$ characters clockwise starting from any character? For example if you place the characters "e", "a" and "t" in a circle you will form three words: "... |
My previous word puzzle failed miserably, so I am going to try again.
Can you place n characters in a circle, such that a **distinct** word is formed when you read n characters clockwise starting from any character? For example, if you place the characters "e", "a" and "t" in a circle you will form three words: "eat... |
My previous word puzzle failed miserably, so I am going to try again.
Can you place *n* characters in a circle, such that a **distinct** word is formed when you read *n* characters clockwise starting from any character? For example, if you place the characters "e", "a" and "t" in a circle you will form three words: ... |
My previous word puzzle failed miserably, so I am going to try again.
Can you place *n* characters in a circle, such that a **distinct** word is formed when you read *n* characters clockwise starting from any character? For example, if you place the characters "e", "a" and "t" in a circle you will form three words: ... |
Let's have the following numbers.
$ \sqrt{\frac{2069}{24}}$, $11$, $\frac{1397}{24}$, $ \sqrt{\frac{2069}{24}}$, $3$, $\frac{2741}{24}$,$13$, $\sqrt{\frac{2069}{24}}$, $91$.
How are these numbers related? |
My previous word puzzle failed miserably, so I am going to try again.
Can you place *n* characters in a circle, such that a **distinct** word is formed when you read *n* characters clockwise starting from any character? For example, if you place the characters "e", "a" and "t" in a circle you will form three words: ... |
**4 letters:** It appears that there is a length 4 "word circle".
>! ALAN, LANA, ANAL, NALA
is the only one that [Qat](https://quinapalus.com/qat.html) finds for 4 letters. All of these are acceptable Scrabble words in the SOWPODS dictionary, apparently.
**5 letters?** Qat's "union" dictionary combines many ... |
Let's have the following numbers:
$ \sqrt{\frac{2069}{24}}$, $11$, $\frac{1397}{24}$, $ \sqrt{\frac{2069}{24}}$, $3$, $\frac{2741}{24}$,$13$, $\sqrt{\frac{2069}{24}}$, $91$.
<sub>**Transcription**: square root of two-thousand and sixty-nine over twenty-four, then eleven, then one thousand three hundred and ninet... |
So I was thinking about Conway's game of life and the ridiculous kinds of patterns that can be made (Things that move across infinite space etc) and then I thought, hey could a chess knight do this as well?
A refresher on the rules:
1. Any live cell with fewer than two live neighbours dies, as if caused by under... |
This puzzle consists of 36 tiles. Each tile has a digit and may or may not have a mine.
The goal is to assemble a 6×6 Minesweeper grid — in other words, each digit must equal the number of mines adjacent to it (including diagonals). Unlike in traditional Minesweeper, the mines themselves have digits on them, but the... |
<sub>*This is an entry for [Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community](https://puzzling.meta.stackexchange.com/q/7080/28719).*</sub>
---
*Here is a standard Cross the Streams puzzle. The genre is invented by [Grant Fikes][1] which combines Nonogram and wildcard clues.*... |
Cross the Streams: Three? |
<sub>*This is an entry for [Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community](https://puzzling.meta.stackexchange.com/q/7080/28719).*</sub>
---
*Here is a standard Cross the Streams puzzle. The genre is invented by [Grant Fikes][1] which combines Nonogram and wildcard clues.*... |
<sub>*This is an entry for [Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community](https://puzzling.meta.stackexchange.com/q/7080/28719).*</sub>
---
*Here is a standard Cross the Streams puzzle. The genre is invented by [Grant Fikes][1] which combines Nonogram and wildcard clues.*... |
I have a Eureka 3d Puzzle Model G:
[![enter image description here][1]][1] [![enter image description here][2]][2]
On the box there are 3 puzzles:
1. Remove the ring
2. Remove the rope
3. Move the ring to the other side
I have found [a solution](http://collection.cassetete.free.fr/2_corde/model_g/model_... |
3D ring/rope wooden puzzle solution? |
I have a Eureka 3d Puzzle Model G:
[![enter image description here][1]][1] [![enter image description here][2]][2]
On the box there are 3 puzzles:
1. Remove the ring
2. Remove the rope
3. Move the ring to the other side
The maker's website does not appear to list this puzzle in their [solutions](https:/... |
In [Mandarin Chinese][1]:
十二
and
二十
Am I cheating?
>! Actually no! In [Latin Pinyin][2]
>! Twelve is 十二, Shí èr
>! Twenty is 二十, Èr shí
>!
>! Note: this is also valid for Japanese as they share the [same numerals][3]!
In [Braille][4]:
>! 12 ⠼⠁⠃
>! 21 ⠼⠃⠁
In [Arabic][5]:
>! 34 ... |
I have a Eureka 3d Puzzle G / Model G:
[![enter image description here][1]][1]
On the box there are 3 puzzles:
1. Remove the ring
2. Remove the rope
3. Move the ring to the other side
While Eureka does not appear to list this puzzle in their [solutions page](https://www.eureka-puzzle.eu/eureka/index.php... |
I have a Eureka 3d Puzzle G / Model G / [Gringo](https://www.joyhobby.co.kr/mall/Item.asp?siteid=joyhobby&itemid=538853&catid=7751):
[![enter image description here][1]][1]
On the box there are 3 puzzles:
1. Remove the ring
2. Remove the rope
3. Move the ring to the other side
While Eureka does not appe... |
Grandpa seemed to have spent some time writing something.
"What are you writing, Grandpa?", I asked.
"Just trying to tie up some ends here. Check it out", he says.
The (strange) sentence merely was
> **Ada, Ali, Ana, Dan, Dom, Gary, Mark, Stan and Tina had only one car in LA,CA,US.**
"So what?" I asked.
... |
Firstly, @Prim3numbah did a fantastic job of recognising the various figures shown on the cards. Using his information, I managed to come up with a different answer.
>! Given the hint by the OP, there exists a particular reason for the trichotomy in the picture. Let us first identify the cards in each group <br><br>... |
Completed grid:
>! [![enter image description here][1]][1]
Solving process, as best I can reconstruct it:
>! First of all some easy deductions; in several of these cases I could have done more locally but didn't. White 5 and 6 near the NW must be separated, completing black 2 which must be surrounded by white.... |
This puzzle consists of 36 tiles. Each tile has a digit and may or may not have a mine.
The goal is to assemble a 6×6 Minesweeper grid — in other words, each digit must equal the number of mines adjacent to it (including diagonals). Unlike in traditional Minesweeper, the mines themselves have digits on them, but the... |
So I was thinking about Conway's game of life and the ridiculous kinds of patterns that can be made (Things that move across infinite space etc) and then I thought, hey could a chess knight do this as well?
A refresher on the rules:
1. Any live cell with fewer than two live neighbours dies, as if caused by under... |
Somebody corrupted my QR Code.
Can you tell me who did this and when it happened?
[![enter image description here][1]][1]
**Hint:**
>! https://www.gs1.org/barcodes/2d
[1]: https://i.stack.imgur.com/zWSty.png |
The complete grid:
>! [![enter image description here][1]][1]
Reasoning:
>! In row 9 we can fill in two blocks of two just by simple counting, since the row must be at least "3 3 1". In the upper right corner, if we assume R2C9 is shaded, then this forces all of R2C8-9 and R3C8-9 to be shaded, contradicting the no... |
Let's have the following numbers:
$ \sqrt{\frac{2069}{24}}$, $11$, $\frac{1397}{24}$, $ \sqrt{\frac{2069}{24}}$, $3$, $\frac{2741}{24}$,$13$, $\sqrt{\frac{2069}{24}}$, $91$.
<sub>**Transcription**: square root of two-thousand and sixty-nine over twenty-four, then eleven, then one thousand three hundred and ninet... |
- our prefix makes us taller... sometimes.
- our infix is something you are, starting from today.
- our suffix is one of our elements.
> Who are we and why is today such an important day for us?
|
My guess:
>! [Pearl Harbor Remembrance Day](https://www.google.com/search?client=firefox-b-d&q=pearl+harbor+date) *(takes place at December 7th, that's today)*
*our prefix makes us taller... sometimes.*
>! Owning a pearl makes use feel taller, as in richer.
*our infix is something you are, starting from tod... |
- You fed me inedible objects for... reasons.
- You made me spit out the objects too.
- You fed my grandpa with chunks.
- You fed me with slices.
Why did you feed us, and *what* did you feed us? |
You fed me and my grandpa... with what? And why? |
Previous Level: https://puzzling.stackexchange.com/questions/104725/lasers-rotation-movement-level-4
Here is another level, this is a bit tough I guess, but enjoy solving using the previous rules!
**Rules** :
- There will be lasers that are shaped like an arrow. The arrows pointing in the respective direction... |
Claire, Katia and Lila like to have dinner together.
1. Each of them always orders either coffee or tea after dinner.
2. If Claire orders coffee, then Katia orders the drink that Lila orders.
3. If Katia orders coffee, then Claire orders the drink that Lila doesn't order.
4. If Lila orders tea, then Claire ... |
Will You Take Coffee or Tea? |
Why is "issued" the answer to "Fire corners if one-a-side matches haven't begun"? |
Why is "issued" the answer to "Fire corners if one-a-side matches haven't begun"? |
>! I'm going to say this **ADATA**. <br>
>! The title contains _voodoo_ so I thought of the [3dfx graphics cards](https://en.wikipedia.org/wiki/Comparison_of_3dfx_graphics_processing_units) made during the 90s.
>! There is a list of companies that make computer memory [here](https://en.wikipedia.org/wiki/List_of_co... |
Anne and Bernard have between them 100 marbles, Anne the most. Some of the marbles are red, the rest are blue. If Anne draws at random two marbles from her bag of marbles, the probability that the two marbles are of different colors is preciesely the same as the probability that Bernard draws two marbles at random from... |
>! I'm going to say this **ADATA**. <br>
>! The title contains _voodoo_ so I thought of the [3dfx graphics cards](https://en.wikipedia.org/wiki/Comparison_of_3dfx_graphics_processing_units) made during the 90s.
>! There is a list of companies that make computer memory [here](https://en.wikipedia.org/wiki/List_of_co... |
Why is "issued" the answer to "Fire corners if one-a-side matches haven't begun"?
This was published in the NZ Herald cryptic crossword on 8th December 2020. |
>! My guess: Gabriel Syme corrupted your QR Code on Thursday.
>! Taking Sleafars work on the DataMatrix, we get the first hint: G SYME
>!
>! I play around some time with the QR Code, trying various approaches (e.g: subtracting the DataMatrix from the QR Code).
>! Eventually I managed to decode the corrupte... |
Anne and Bernard have between them 100 marbles, Anne the most. Some of each of their marbles are red, the rest are blue. If Anne draws at random two marbles from her bag of marbles, the probability that the two marbles are of different colors is preciesely the same as the probability that Bernard draws two marbles at r... |
Anne and Bernard have between them 100 marbles, Anne the most. Some of each of their marbles are red, the rest, though fewer, are blue. If Anne draws at random two marbles from her bag of marbles, the probability that the two marbles are of different colors is preciesely the same as the probability that Bernard draws t... |
In the group stage of the World Cup, teams compete within eight groups of four teams each. Each group plays a round-robin tournament, in which each team plays three matches, one against each other team in the same group. This means that a total of six matches are played within a group. Points are used to rank the tea... |
Anne and Bernard have between them 100 marbles, Anne the most. Some of each lot of their marbles are red, the rest, though fewer, are blue. If Anne draws at random two marbles from her bag of marbles, the probability that the two marbles are of different colors is preciesely the same as the probability that Bernard dra... |
Anne and Bernard have between them 100 marbles, Anne the most. Some in each bag of their marbles are red, the rest, though fewer, are blue. If Anne draws at random two marbles from her bag of marbles, the probability that the two marbles are of different colors is preciesely the same as the probability that Bernard dra... |
The complete grid:
>! [![enter image description here][1]][1]
Reasoning:
>! In row 9 we can fill in two blocks of two just by simple counting, since the row must be at least "3 3 1". In the upper right corner, if we assume R2C9 is shaded, then this forces all of R2C8-9 and R3C8-9 to be shaded, contradicting the no... |
If you have a very large but finite number of equilateral triangels(of any/all sizes) is it then possible to construct an isosceles triangle? (By isosceles I mean a non-euqilateral isosceles triangle).
Can you prove/disprove it? |
If you have a very large but finite number of equilateral triangles (of any/all sizes) is it then possible to construct an isosceles triangle? By isosceles I mean a non-equilateral isosceles triangle.
Can you prove/disprove it? |
To solve, use the following:
>! Marker Symbols alphabet from Dead Space
Translation (with added punctuation):
>! "Report Number Thirty Four"
>! "The following is the letter of caution for you and the scientists working with the sample. Take heed of this warning and take the percautions (sic) listed in the fo... |
To solve, use the following:
>! Marker Symbols alphabet from Dead Space
Translation (with added punctuation):
>! Report Number Thirty Four
>! The following is the letter of caution for you and the scientists working with the sample. Take heed of this warning and take the percautions (sic) listed in the follo... |
There is a famous classical geometry puzzle about the angles formed by integer coordinates:
> What is the sum of angle A and B in the following image? Do not use any advanced mathematics such as trigonometric formulas or complex numbers.
>
> <img src="https://i.stack.imgur.com/iSo9G.png" width="400">
with an el... |
Max's Dad Kevin loves puzzles. He has a gift for his son but wants him to guess when he will give him the gift.
Kevin leaves some messages. Could you help Max in finding when he would receive his gift?
Message 1
[![enter image description here][1]][1]
Message 2
[![enter image description here][2... |
Gift After Jason? |
Let's take these puzzles one at a time...
**Puzzle 1:**
>! Here 'seven' is a hint that we should be thinking about numbers depicted **on a seven-segment display** (like a calculator). With that in mind, we then need to take the **inverse** of the segments displayed to the left, i.e. what number can you form with ... |
Let's take these puzzles one at a time...
**Puzzle 1:**
>! Here 'seven' is a hint that we should be thinking about numbers depicted **on a seven-segment display** (like a calculator). With that in mind, we then need to take the **inverse** of the segments displayed to the left, i.e. what number can you form with ... |
Here's an answer that takes the current known information a little further, with some suggestions for what might need to be done next...
**Stanza 1:**
As @Dmihawk found (since confirmed by the OP), the answer to this stanza is:
>! **MINUS**
*I am one of four brothers, we make a foundation*
*in some way w... |
[![enter image description here][1]][1]
**Across**
6\. A sign that it's time to stop payment: Serious warning signal (9,4)
8. Nonconformist man is in good shape (6)
9. Sorriest broken component (8)
10. Child keeping King softly in grip (5,3)
12. Dessert and wine brought back to a king and a queen? (6)... |
Anita, Becky, Claire and Donna went to visit Emmy on Saturday.
1. The times were as follows:
Anita visited at 8'00,
Becky at 9'00,
Claire at 10'00, and
Donna at 11'00.
2. At least one woman visited Emmy between Anita and Becky.
3. Anita did not visit Emmy before both Claire and D... |
A Popular Lady? |
The times were as follows:
Anita visited at 8'00, Becky at 9'00, Claire at 10'00, and Donna at 11'00.
>!Some times are AM, some are PM, changing the order:
>!Becky(9A), Donna(11A), Anita(8P), Claire(10P)
At least one woman visited Emmy between Anita and Becky.
>!Donna visits between Anita and Becky
Anita ... |
Could be
>! **AIRBNB**
our prefix makes us taller... sometimes.
>! **AI** - used to improve programming, can work well if used the correct way
our infix is something you are, starting from today.
>! **IRB** - I Are Back, texted after BRB (Be Right Back) or<br>
>! **IRB** - Investor Revenue Base ?, or **IR** -... |
What is a date word™? |
<sub>This is in the spirit of the [What is a Word/Phrase™][1] series started by [JLee][2] with a special brand of [Phrase™][3] and [Word™][4] puzzles.</sub>
If a word conforms to a special rule, I call it a **Date Word™** word.
Here is a list of Date™ and Not Date™ words:
| Date Word™ | Not Date Word™ |
| -----... |
What is a Date Word™? |
<sub>This is in the spirit of the [What is a Word/Phrase™][1] series started by [JLee][2] with a special brand of [Phrase™][3] and [Word™][4] puzzles.</sub>
If a word conforms to a special rule, I call it a **Date Word™** word.
Here is a list of Date™ and Not Date™ Words:
| Date Word™ | Not Date Word™ |
| -----... |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
> You can catch me and hold me but only for a while
>
> Tell someone I am bad and wipe out his smile
>
> I can be saved, I can be wasted
>
> I can be analyzed, I can be tested
>
> I can be taken, rarely seen and can be heard
>
> I can be short, occasionally lost, sometimes drawn but never colored.
Who... |
Anita, Becky, Claire and Donna went to visit Emmy on Saturday.
1. The times were as follows:
- Anita visited at 8'00,
- Becky at 9'00,
- Claire at 10'00, and
- Donna at 11'00.
2. At least one woman visited Emmy between Anita and Becky.
3. Anita did not visit Emmy before bot... |
A variation on Jon Mark Perry's answer:
>! (1 + 2 - 3 - 4) x (5 - 6) x 7 x 8 x 9
I wonder how many such 'monotonic' solutions there are? |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
What is a Rainbow Word™? |
Write down all integers from 1 to 1000. Beginning with 1 cross out every second number. Now repeat the process - cross out every second number from those that remain. Keep repeating the process until just one number remains. What is this last remaining number? |
Our polarity was mentioned but never revealed
Coulombs we made, but our fate was sealed
Repelling the dark, we refused to yield
They had a battery: We died in the field
**Who are we and how many?** (Please explain each line)
_________________________
**Hints**
1. If we had been switched on, we mi... |
> Beginning with 1 cross out every second number.
>! So I start at 1 and cross out 2, 4, …: all the evens. The odds remain.
> Now repeat the process - cross out every second number from those that remain.
>! I cross out every _second_ odd: 3, 7, 11,…: but I don't cross out 1, for example.
> Keep repeating t... |
This puzzle is dedicated to the great Diego Maradona.
Maradona has the ball and is going for an amazing run. He must get around all his opponents and score the ball into the goals (gray cells). At each turn he can do the following:
* Move into one of 8 neighboring empty cells.
* Move into the neighboring cell wi... |
Write down all integers from 1 to 1000. Beginning with 1 cross out every second number. So you will cross out 1, 3, 5 and so on. Now repeat the process exactly - cross out every second number from those that remain. Keep repeating the process until just one number remains. What is this last remaining number? |
Write down all integers from 1 to 1000. Cross out the first number and every second number after that. So you will cross out 1, 3, 5 and so on. Now repeat the process exactly - cross out the first number and every second number from those that remain. Keep repeating the process until just one number remains. What is th... |
I could not solve a question from an online IQ test:
[![enter image description here][1]][1]
The options were: <br> 10, -5, 32 and 18
The only pattern that I managed to find was that the numbers went in an odd-even sequence(that means, odd-even-odd-even or even-odd-even-odd), so the missing number would be odd. ... |
What game am I looking for? |
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