instruction
stringlengths
15
30k
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> --- [![enter image description here][1]][1] This crossword is a tribute to the 2002 album *Six Degrees of Inner Turbulence* by Dream Theater. No knowledge of the music itse...
[![Letter boxed][1]][1] **WARNING:** I solved this puzzle and posted a solution below. I'm posting this more for muse. Hello! I don't know if anyone's enjoyed this puzzle on *The New York Times* website, but I find it rather fun. The rules published on the site are as follows: - Connect letters to spell word...
> **1. Take 0 out then you are really in it** > > **2. Take 1 out then it is unreal** > > **3. Take 2 out, then you are back to 1** > > **4. Take 3 out, then you are back to 1** > > **5. Take 4 out, then you are back to 0** What word am I? Hint 1 >! The numbering of the clues is part of the pu...
> Enclosure enclosing some music that’s acted. Another with snitch fore and aft is a note. A bird sound for every dinner extracted. Collaborate. Solve it. You’re done? Now upvote! The answer is a single English word.
Cryptic clue solutions: >! Plants in rows, say! (4) MAZE (~ maize, &lit.)<sup>1</sup> >! Area's eastern (but west-going) limits with precedence? (5) SPAC<+E >! City is, ahem, crazy about vacated rental. (6) HA(R_L)EM* >! Tipsy goths trailed by son's phantoms. (6) GHOST*+S >! School discussed OJ, other pr...
I think you want an answer that will >! cooperate Enclosure enclosing some music that’s acted. >! a **cote** is a structure to contain domesticated animals, surrounding **opera** the acted music Another with snitch fore and aft is a note. >! a **coop** is another enclosure, with note **e** for and aft of **ra...
Wait a minute...Where did he go? (part 1)
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> --- [![the crossword grid, a hexagon with a side length of 6 smaller hexagons][1]][1] This crossword is a tribute to the 2002 album *Six Degrees of Inner Turbulence* by Dre...
Let's have the following fractions. $ \frac{752}{375} + \frac{754}{376}+ \frac{756}{377} + \frac{758}{378}+ \frac{760}{379} \approx 10*(\frac{5}{375}+1)^{1/5}$ $\frac{752}{375}+ \frac{754}{376}+ \frac{756}{377}+ \frac{758}{378}+ \frac{760}{379}+ \frac{762}{380} \approx 12*(\frac{5}{375}+1)^{1/6}$ $\frac{752}{3...
Let's have the following fractions. $ \frac{752}{375} + \frac{754}{376}+ \frac{756}{377} + \frac{758}{378}+ \frac{760}{379} \approx 10*(\frac{5}{375}+1)^{1/5}$ $\frac{752}{375}+ \frac{754}{376}+ \frac{756}{377}+ \frac{758}{378}+ \frac{760}{379}+ \frac{762}{380} \approx 12*(\frac{6}{375}+1)^{1/6}$ $\frac{752}{3...
Let's have the following fractions. $ \frac{752}{375} + \frac{754}{376}+ \frac{756}{377} + \frac{758}{378}+ \frac{760}{379} \approx 10*(\frac{5}{375}+1)^{1/5}$ $\frac{752}{375}+ \frac{754}{376}+ \frac{756}{377}+ \frac{758}{378}+ \frac{760}{379}+ \frac{762}{380} \approx 12*(\frac{6}{375}+1)^{1/6}$ $\frac{752}{3...
Let's have the following fractions. $ \frac{752}{375} + \frac{754}{376}+ \frac{756}{377} + \frac{758}{378}+ \frac{760}{379} \approx 10\times(\frac{5}{375}+1)^{1/5}$ $\frac{752}{375}+ \frac{754}{376}+ \frac{756}{377}+ \frac{758}{378}+ \frac{760}{379}+ \frac{762}{380} \approx 12\times(\frac{6}{375}+1)^{1/6}$ $\f...
My solution path. Note that cells with a black dot in them are confirmed as unshaded. An L-mino is a corner-shaped tromino, and an I-mino is a straight tromino Step 1: >! [![step 1][1]][1] >! There is only one way to fit 3 dominoes around the corner 3 and have them not touch. If the 3 is an L-mino then only 2 ...
This is not my puzzle, but I really wanted to share it. You can solve it interactively [here][1]. In this maze you jump horizontally or vertically to a new square (**not necessarily adjacent**) with the constraint that the symbol you land on must be different from either of the two previous symbols. Start from the d...
This is not my puzzle, but I really wanted to share it. You can solve it interactively [here][1]. In this maze you jump horizontally or vertically to a new square (**not necessarily adjacent**) with the constraint that the symbol you land on must be different from either of the two previous symbols. Starting from th...
This is not my puzzle, but I really wanted to share it. You can solve it interactively [here][1]. In this maze you jump horizontally or vertically to a new square (**not necessarily adjacent**) with the constraint that the symbol you land on must be different from either of the two previous symbols. Starting from th...
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> --- [![the crossword grid, a hexagon with a side length of 6 smaller hexagons][1]][1] This crossword is a tribute to the 2002 album *Six Degrees of Inner Turbulence* by Dre...
In my city, car registration plates contain 3 numbers (0 to 9) and 3 letters (A to Z). Today I've noticed that my neighbour's car has the same registration as my car except for one character. Should I be surprised by this? In other words, what is the probability of this happening for two randomly chosen cars in my city...
We can arrange short sticks to make grid of squares, as in the 3 x 3 example of the figure below, which requires 24 sticks. How many sticks are required to make a 151 x 143 grid of squares? Only enter a number. It's a problem puzzle and I'm stuck. thanks
Can someone help me with this questions?
This puzzle is part of the https://puzzling.meta.stackexchange.com/questions/7062/fortnightly-topic-challenge-43-variety-crossword-grids?cb=1. The clues are in random order. **The Blank Grid** [![enter image description here][1]][1] **Across** ``` Nevertheless Expected to happen Sign of distress Lid ...
You are, as you have been many times before, in some place that has a balance scale and 12 coins. One of these coins, however, is shifty -- as soon as you "finish" a weighing by taking the coins off the scale, it changes its weight! (This transition cannot be seen but you know that it happens) It switches its wei...
We can arrange short sticks to make grid of squares, as in the 3 x 3 example of the figure below, which requires 24 sticks. How many sticks are required to make a 151 x 143 grid of squares?
How many sticks to make a grid of squares?
You are, as you have been many times before, in some place that has a balance scale and 12 coins. 11 are all "normal" and stay normal, but one of these coins, however, is shifty -- as soon as you "finish" a weighing by taking the coins off the scale, it changes its weight! (This transition cannot be seen but you kno...
This puzzle is part of the https://puzzling.meta.stackexchange.com/questions/7062/fortnightly-topic-challenge-43-variety-crossword-grids?cb=1. The clues are in random order. **The Blank Grid** [![enter image description here][1]][1] **Across** Nevertheless Expected to happen Sign of distress Lid...
This puzzle is part of the https://puzzling.meta.stackexchange.com/questions/7062/fortnightly-topic-challenge-43-variety-crossword-grids?cb=1. The clues are in random order. **The Blank Grid** [![enter image description here][1]][1] **Across** ``` Nevertheless Expected to happen Sign of distress Lid ...
Consider this Martin Gardner/Raymond Smullyan puzzle just asked [by Favst over on Chess.SE](https://chess.stackexchange.com/questions/33094/how-to-solve-this-puzzle-of-martin-gardner) (Source: [_The Colossal Book of Puzzles and Games_](https://archive.org/details/B-001-001-266/page/n481/mode/1up), problem A.12 "Doubled...
"Actually, I think I have a slight advantage," says Black, "so just to even the playing field, I'll play without my king pawn." **Is White still guaranteed to win?** >! Yes. One might think 1. Nb1-d5 still wins easily, because whether the king remains on e8 or moves to e7, the white knight can still capture it. B...
Here's my attempt at a chess puzzle Your task is to construct a legal chess position where: - It is black's turn to move - Black is in check - Black has the greatest number of different legal moves possible (A legal chess position is a position reachable during a normal game of chess) For example: [![Exa...
I can do >! 40 ways, with this position: 6r1/2n4b/1qqqqq2/R6k/1qqqqb2/2n5/8/6r1 w - - 0 1 >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have 1...
I can do >! 40 ways, with this position: 6r1/2n4b/1qqqqq2/R6k/1qqqqb2/2n5/8/6r1 w - - 0 1 >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have 1...
***What am I?*** > For my prefix I received `ri`. Now I'm insecure. > > For my infix I received `ul`. Now I'm gloomy. > > For my suffix I received `pe`. Now I don't converse in person. > >*Perhaps the gifts aren't to blame... even without them, my mood changes like the weather.* --- ***Example: If my wo...
Toxic Christmas Gifts for Riley?
I can do >! 40 ways, with this position: 6r1/2n5/1qqqqqb1/R6k/1qqqqb2/2n5/8/KB4r1 w - - 0 1 >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have 1...
I can do >! 40 ways, with this position: 6r1/2n4b/1qqqqq2/R6k/1qqqqb2/2n5/8/6r1 w - - 0 1 >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have 1...
I can do >! 40 ways, with this position: 6r1/2n5/1qqqqqb1/R6k/1qqqqb2/2n5/8/KB4r1 w - - 0 1 >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have 1...
I can do >! 40 ways, with this position: `6r1/2n4b/1qqqqq2/R6k/1qqqqb2/2n5/8/KB4r1 w - - 0 1` >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have...
I can do >! 40 ways, with this position: `6r1/2n4b/1qqqqq2/R6k/1qqqqb2/2n5/8/KB4r1 w - - 0 1` >! [![enter image description here][1]][1] >! Each of the nine queens (one original, eight promoted) has 3 saving moves. Each knight has 2, as has the dark-squared bishop. The two rooks and the light-squared bishop have...
Previous Level: https://puzzling.stackexchange.com/questions/104612/lasers-cross-through-the-bridges-level-3 Here's another level for my new puzzle, after a long time. Some new ideas came too: **Rules**: - There will be lasers which are shaped like an arrow. The arrows pointing in the respective direction sho...
You are, as you have been many times before, in some place that has a balance scale and 12 coins. 11 are all "normal" and stay normal, but one of these coins, however, is shifty -- as soon as you "finish" a weighing by taking the coins off the scale, it changes its weight! (This transition cannot be seen but you kno...
An alien planet called EMJ-26 has an alphabet that has letters switched around. Their language is identical to english but they use different letters. Here are the names of some countries on earth written in their language: <BR> <br>QAREZSTZQ<br>WVTZQ<br>CQOQZ<br>UEFTWI<br>NCOMIKST<br>PQSQA<br>MISLJQZQ<br>DEZEGKEXQ<b...
I think the answer is obvious: give clues that aren’t easily searched because they are neither textual nor clean digital files. Examples: (1) name this tune - that you just whistle - Shazam can’t help with that, or (2) what team did this person play for - with a photo you hold up on a printed sheet in front of the web...
Today, we had the great privilege to see [@Paul Panzer's answer being ticked at @thesilican's absorbing puzzle.][1] I here propose a variant of his puzzle where it's not mandatory to use a legal chess game. Provide a checkerboard with as many chess pieces you want where: - It is Black's turn to move - Black i...
Today, we had the great privilege to see [@Paul Panzer's answer being ticked at @thesilican's absorbing puzzle.][1] I here propose a variant of his puzzle where it's not mandatory to use a legal chess game. Provide a checkerboard with as many chess pieces you want where: - It is Black's turn to move - Black i...
Today, we had the great privilege to see [@Paul Panzer's answer being ticked at @thesilican's absorbing puzzle.][1] I here propose a variant of his puzzle where it's not mandatory to use a legal chess game. Provide a checkerboard with as many chess pieces you want where: - It is Black's turn to move - Black i...
You are given the sequence: $$\frac{1}{4}, 1, \frac{9}{4}, 2 + \frac{2}{\sqrt{3}}, \frac{5}{2} + \frac{5}{2 \sqrt{2}}, 3 + 3 \sqrt{\frac{1}{10} (5 + \sqrt{5})}$$ <sub>**Transcription:** one fourth, then one, then nine fourths, then two plus the fraction two over the square root of three, then five halves plus the...
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> [![enter image description here][1]][1] blue: Am I (3<) a singer in a temple (3,5v) or in a a sun-starved (5^) metric conflict area (3,5>)? red: A disfiguring mother...
Part of me is above us, the other removes paint. I would say I am pretty tall. What am I?
(There are a couple of answers that I am guessing have errors in the clues. My apologies if in fact the errors are mine.) Grid: >! [![enter image description here][1]][1] blue: Am I (3<) a singer in a temple (3,5v) or in a a sun-starved (5^) metric conflict area (3,5>)? >! EGO / ALT ALTAR / UMBRA / ARE A...
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> [![enter image description here][1]][1] blue: Am I (3<) a singer in a temple (3,5v) or in a a sun-starved (5^) metric conflict area (3,5>)? red: A disfiguring mother...
Grid: >! [![enter image description here][1]][1] blue: Am I (3<) a singer in a temple (3,5v) or in a a sun-starved (5^) metric conflict area (3,5>)? >! EGO / ALT ALTAR / UMBRA / ARE ARENA red: A disfiguring motherly animal(2,3,4v) with a not discrete behind (4,6<) has a flirty drink(3,5>) with an all-...
I purchased this 3D wooden puzzle and wasn't provided with the instructions to reassemble it. I can't seem to find any information about it other than the source I bought it from. It has 33 pieces Does anyone know any information about it? Common name or even the solution? [![3D Wooden puzzle 33 pieces][1]][1] ...
Does any one know the name (and solution) of this 3D wooden puzzle (33 pieces)?
What is the name & solution for this 33-piece 3D wooden puzzle?
As a professor of Awesomeness at the prestigious Ad Hoc University ([other questions in this series](https://puzzling.stackexchange.com/search?q=ad+hoc+university+is%3Aq)), I decided to assign my students this puzzle. Unfortunately, they were all unable to get it! I want to post it here to see if any puzzlers can get i...
<sub>*This is an entry for [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/q/7062/28719).*</sub> --- [![enter image description here][1]][1] **Across** 4\. "\_\_\_ and on" 5. "La \_\_\_" light 6. Aside from it 8. Diagonal 10. Firefly 12. Clot...
Another Straightforward 4-letters Crossword?
I think the answer is... >! Option 4 (-5) Why? >! We can see that the double zero domino flips the domino before it upside-down. Therefore, the next domino must be the 2nd domino(the domino before the double zero domino) flipped upside-down. Hence, x=1 and y=6, and so x - y = 1 - 6 = -5.
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 as y, then find x-y. [![Sketch of the problem][1]][1] The choices given in my book are follows: 1. 2 ...
What are the following numbers?
The number sequence goes like this: > 3412, 361, 51, 5312, 5342, 531, ...... What are the following *FOUR* numbers in this sequence? Absolute hint: >! There is no calculations involved.
Here's a grid of shapes: ![Question](https://i.stack.imgur.com/lnUFjm.png) Which of the following shapes should go in the missing cell, and why? There is only one correct answer, and the explanation should not be very complicated. ![Answers](https://i.stack.imgur.com/A3dRDm.png) This is my own puzzle.
What is the next character in this ancient sequence: a, a, a, a, n, a, a, a, a, a, a, ? What is your reasoning?
I wish it were this, though I don't see how all of the pieces fit perfectly: >! Cryptocurrency My prefix cools you down: >! Often crypts are underground and have a cool temperature. My suffix is way up high: >! Depending on where you are your currency could be worth a lot I suppose? My infix is a single n...
> **1. Take 0 out then you are really in it** > > **2. Take 1 out then it is unreal** > > **3. Take 2 out, then you are back to 1** > > **4. Take 3 out, then you are now in US** > > **5. Take 4 out, then you are back to 0** What word am I? Hint 1 >! The numbering of the clues is part of the pu...
I could only get one answer for the following alphametic. Can you confirm? >! **ETAS / (E * T * A * S) = SEAT - SATE** All 4 lettes are separate digits from 1 to 9. ETAS, SEAT and SATE are 4 digit numbers NO Programming please
Does this alphametic have only one solution?
I could only get one answer for the following alphametic. Can you confirm? > **ETAS / (E * T * A * S) = SEAT - SATE** All 4 lettes are separate digits from 1 to 9. ETAS, SEAT and SATE are 4 digit numbers NO Programming please
<sup>An entry in [Fortnightly Topic Challenge #43: Variety Crossword Grids](https://puzzling.meta.stackexchange.com/questions/7062)</sup> --- This puzzle is a cryptic crossword, but with a twist...literally! The grid presented is a 2-dimensional representation of the actual grid, which is embedded on a [Klein bottl...
**Story Version** (scroll for TL;DR) It's the end of the first quarter of 2017. This means it's the end of the 2016 fiscal year (at least in my country it is). It's time to draw the line. So the CEO did his calculations and said we did a good job so we should get a bonus. Yippeee... But there is a cat...
Let's have the following sums of fractions. $\frac{36020}{7203}+ \frac{36025}{7204}+ \frac{36030}{7205}+ \frac{36035}{7206}+ \frac{36040}{7207}+ \frac{36045}{7208}=F$ $\frac{15363}{5120}+ \frac{15366}{5121}+ \frac{15369}{5122}+ \frac{15372}{5123}+ \frac{15375}{5124}+ \frac{15378}{5125}=K$ The sums of these fra...
Sixteen cards numbered 1 to 16 lay on a table. Anne and Clare each take four cards. Anne's cards add up to 23, while Clare's add up to 48. Bernard and David also take four cards each. The product of Bernard's cards is 4480, while the product of David's cards is 1050. Which four cards did each of the four friends t...
<h3>Mostly complete answer...I think</h3> The **nearly** complete grid: >! [![enter image description here][1]][1] The Clues: **ACROSS** >! (NIL) >! (YET) Nevertheless >! (DUE) Expected to happen >! (SOS) Sign of distress >! (TOP) Lid or cover >! (BET) Take a chance >! (BTS) K-pop group ...
Let's deal with the general case that covers both Vassilis's previous question along similar lines and this one, and consider $\sum_{i=0}^{k-1}\frac{n(a+i+1)}{a+i}$. This is $k$ times the arithmetic mean of the fractions involved, which is very close to $k$ times their geometric mean, which is $kn\left(\prod_{i=0}^{k-1...
Let's deal with the general case that covers both Vassilis's previous question along similar lines and this one, and consider $\sum_{i=0}^{k-1}\frac{n(a+i+1)}{a+i}$. This is $k$ times the arithmetic mean of the fractions involved, which is very close to $k$ times their geometric mean, which is $kn\left(\prod_{i=0}^{k-1...
This is not a puzzle, this is a question about a certain puzzle, Dog's mead. Several forms of this puzzle have been known, and I'm referring to [this particular form](http://jig.joelpomerantz.com/fun/dogsmead.html). There are some history on that page of researching for authorship of the puzzle, and how many, slightly ...
<h3>Mostly complete answer...I think</h3> The **nearly** complete grid: >! [![enter image description here][1]][1] The Clues: **ACROSS** >! (NIL) >! (YET) Nevertheless >! (DUE) Expected to happen >! (SOS) Sign of distress >! (TOP) Lid or cover >! (BET) Take a chance >! (BTS) K-pop group ...
hello there = llehht oere Voldemort's Wrath = dloVrome s'ttarWh This is weird, right? = sihT si riewr ,dthgi? Just figure out what is happening to these words. = tsuJgif eru tuotahw si ppahnineot geht w essdro. Let me know what you come up with! = teLk em wontahwuoy moc pu etiw !h ------------------ ...
What's up with these words, eh?
Start by placing number $1$ anywhere on an infinite square grid. Now place numbers $2, 3, 4, \ldots, K$ in order. A number $k$ can be placed if the following rules hold: * It must be adjacent (horizontally or vertically) to the previous number $k-1$. * It must have at least one neighbour (horizontally or verticall...
Start by placing number 1 anywhere on an infinite square grid. Now place numbers 2, 3, 4, ..., K in order. A number k can be placed if the following rules hold: * It must be adjacent (horizontally or vertically) to the previous number k-1. * It must have at least one neighbour (horizontally or vertically) number m...
Start by placing number $1$ anywhere on an infinite square grid. Now place numbers $2, 3, 4, \ldots, K$ in order. A number $k$ can be placed if the following rules hold: * It must be adjacent (horizontally or vertically) to the previous number $k-1$. * It must have at least one neighbour (horizontally or verticall...
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
Previous Level:- https://puzzling.stackexchange.com/questions/104730/lasers-everything-is-switched-level-5 Here is my next level for the continuation of this game. And I got some doubled bridges !! **Rules** : - There will be lasers which are shaped like an arrow. The arrows pointing in the respective directi...
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
The number sequence goes like this: > 3412, 361, 51, 5312, 5342, 531, ...... What are the following *FOUR* numbers in this sequence? Absolute hint: >! There is no calculations involved. Hint 2: >! You can't see, what are you?
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
This is a puzzle with both the [tag:computer-puzzle] tag and the [tag:no-computers] tag. --- We have the following list of five fractions: $$11/5, 30/77, 1/11, 21/2, 5/7.$$ Starting with an integer $x$, we perform the following operation: at each step, multiply $x$ by the first fraction (from left to right) i...
There is an infinite grid of squares. In one of the squares, there lives an amoeba (marked as a circle in the following pictures). Amoebas cannot move, but they can perform their unique action: an amoeba can split itself into two amoebas, which are identical to the original one, and each will occupy a square that...
Social Distancing Colors - A New Type of Puzzle?
Can you find the next number in this baffling sequence? 925, 955, 1040, 1140, 1255, 225, 410, ?
Start by placing number $1$ anywhere on an infinite square grid. Now place numbers $2, 3, 4, \ldots, K$ in order. A number $k$ can be placed if the following rules hold: * It must be adjacent (horizontally or vertically) to the previous number $k-1$. * It must have at least one neighbour (horizontally or verticall...
[![enter image description here][1]][1] **3D View of one solutions** http://autode.sk/2Dg4FWx I designed a 4x4x4 soma cube in AutoCad and then built it with wood cubes. There are twelve pentacubes and one tetracube. Each piece is unique and if one is in the set and you can get a different piece by mirroring it, t...
<sup>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)</sup> ---- This is a Tatamibari puzzle, where you divide the grid into rectangles and squares. Rules taken from [Wikipedia](https://en.wikipedia.or...
The basic deductions: >! [![enter image description here][1]][1] Now, we ask: >! Which room touches the upper left corner? It turns out only one of the clues can reach there -- the clue in row 3, column 5. >! [![enter image description here][2]][2] And a similar question is helpful again: >! Which roo...
What logic is followed below to get the numbers for the months? > **MARCH = 3142** > > **APRIL = 1232** > > **MAY = 1121** > > **JUNE = 1220** > > **JULY = ?**
What number is July?