# Questions tagged [puzzle]

Tag for questions meant as a puzzle for the Mathematica.stackexchange.com public or about solving puzzles using Mathematica.

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### Find the shaded part area? [migrated]

Two squares of side 5 and 2 respectively. They are touching each other. Diagonals of the square are joined. find the area of the shaded part?
120 views

### A sudoku-like collection puzzle

I have a puzzle. I'm given a collection of $n$ lists, all of equal (but arbitrary) length $l$. These lists are made up of 0s and a few filled in numbers, like so: { {0, 2}, {0,0}, {6, 0}, {0,0} } ...
59 views

### Word search puzzles

I saw the entry Solving word search puzzles and I wonder if it is possible to: Search for words that exist not only in diagonals but that turn like a snake (left, right, up, down)? Search for all the ...
302 views

### Linear Integer Programming for solving Sudoku

I have generated sudoku solver using a recursive scheme, however, i wish to find a more mathematica like solution to solving sudoku. I tried using FindInstance but ...
83 views

### Jug pouring puzzle in Mathematica

Using two unmarked 5 and 3 gallon jugs, obtain exactly 1 gallons in one of these jugs by filling, pouring, and emptying operations. Assume there is an endless supply of water. My approach: I use the ...
1k views

### Solving a cryptarithm

This problem appears on the mathematics stackexchange, which I summarize here as: 12 letters (a, b, c, d, e, f, g, h, k, l, m, n), are used to represent single digits, i.e., {0-9}. Given the ...
207 views

### Puzzle 2: Sum-Till Forty (Something Funny)

I am learning Mathematica because I love it. I also love solving puzzles so I think it would be a nice way to learn Mathematica through puzzles. This is the second puzzle in a series I intend to solve....
2k views

### Puzzle — 20 People to consume 20 units of food under constraints

I am learning Mathematica because I love it. I also love solving puzzles so I think it would be a nice way to learn Mathematica through puzzles. This is first puzzle in series I intend to solve. So ...
219 views

### Solving puzzle with sum

My dad really likes to play this kind of puzzle. And I've tried to help you get the values to my level of knowledge. The puzzle looks like this: The rule is to use numbers from 1 to 9, but it is not ...
887 views

### Solving chess bishop problem

I have generalized the problem in this way where I have a list list=Tuples[Range,2] I want to find the largest sublist in which the addition of the two ...
790 views

### Crack it if you can? But in the best way

From the Wolfram Community posted by Helen: A little while ago I was asked to solve this "safe cracker" puzzle, a sweet example of a coffee table puzzle. The basic gist of this puzzle is that it ...
829 views

### How to fill a grid make its total be largest

I have a blank grid whose dimension is 5*5. I want to fill it with some number using 1, 2, 3 and 4. But in every blank space if you fill 2, its neighbor (include four direction, such as left, right, ...
2k views

### How to divide the wine into two equal portions?

There is a 8-liter bottle is full of wine. There are two empty bottles that have capacity 5-liters and 3-liters. How can these three bottles be used to separate the wine into two 4-liter portions? ...
2k views

### Puzzle with Mathematica

Hello everyone, This is a puzzle I got from someone via social media. Basically, we need to fill up the boxes with the numbers 1-9 (no repetitions) that fit the multiplication and addition operations. ...
85 views

### Where do the radicals end?

In an early iteration of this question on the Mathematics SE, the radicals weren't properly formatted, so they only had the √ symbol with no indication of which terms were supposed to be ...
266 views

### Solve the “Cheryl's birthday” puzzle using mathematica

The "Cheryl's birthday" puzzle has been circulating around, the backstory is available via wikipedia. The puzzle itself is reproduced here: Albert and Bernard just became friends with Cheryl, and ...
124 views

### Twilight Zelda Guardian Puzzle : Shortest Path Proof [closed]

I'm playing a video game right now and in it is a puzzle (see here). There are solutions to solving it (see here) on the Internet, but I'd like to know if this path is the shortest path (least amount ...
510 views

### Solving puzzles with Mathematica

I would like to be able to solve logic puzzles such as the one described here using Mathematica. I have copied & pasted the listed example below to save on jumping about with hyperlinks: The ...
5k views

### How many triangles are there?

Some time ago I found a puzzle and it stopped my work until I solved it. One of the possible solutions: Let us sum upright and upside down triangles whose top lies in the $i$-th row.  N=\sum_{i=1}^...
743 views

### Solving the magic backyard puzzle with MMA

I was trying to solve this puzzle using mma It looks like the generalization of the magic square. Anyway here my attempt:- There are four columns $(x,y,z,w)$ and nine rowa which are denoted by the ...
8k views

### Elegant solution to the Zebra [logic] Puzzle (“Einstein's Riddle”)

The famous Zebra Puzzle (Wikipedia), often called "Einstein's Riddle," is a logic puzzle that can be solved deductively by applying a list of logical rules. One version of the riddle (from Wikipedia) ...
3k views

This question is based on the old song, The Twelve Days of Christmas In a comment made on a recent question, Yves Klett remarked, "no seasonal questions this year?" This reminded me of one I solved ...
650 views

### How do we solve N-Rooks variation using primes?

Using a $p_n$x $p_n$ matrix, how can we solve the N-Rooks problem to find a prime in every row and column? ...
2k views

### Tiling a square

I wondered if there was a way to automate the process of finding a way to tile a tile into a square. The idea is to represent the tile with a matrix of $0$s for blank space and $1$s for filled spaces ...