# Tagged Questions

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

10k views

### How can I calculate a jigsaw puzzle cut path?

I want to generate a path to cut an arbitrary shape into a set of jigsaw puzzle pieces. All pieces must be unique to preclude placing a piece in the wrong spot. Pieces must be interlocking such that ...
1k 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 ...
4k 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=...
5k 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) ...
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? ...
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 ...
1k views

### Finding all dictionary words that can be made with a given set of characters (Wordfeud/Scrabble)

This is a slightly more involved variant of this recent question. By sheer coincidence I happened to have been building a Wordfeud (Scrabble clone) game in Mathematica. My interactive Wordfeud ...
1k 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. ...
535 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 ...
445 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,...
518 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? ...
284 views

### Constructing a list of Cartesian coordinates of the Icosahedron

I’m learning Mathematica and I need the coordinates of the Icosahedron vertices. This is my attempt at writing a program for it. The vertex coordinates are simply all cyclic permutations and sign-...
437 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 ...
202 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 ...
65 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 ...
87 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 ...