# Questions tagged [matches]

A puzzle from 2-dimensional or 3-dimensional geometry centered around matchsticks.

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### Turning a goat?

This is a goat made up of 5 sticks. You have to move (change position) any one stick of them such that its head turns to the right side (above the right leg). Notice currently its head is on the left ...
1k views

### Another JCTI Puzzle

It is "find the next box matching the trend" sort of thing. The question as given is: I need to fill the blank area with the correct box given from 6 options: What I get from the question is that ...
3k views

### JCTI Test: Find the next box

This is a JCTI question ,where I need to fill up the blank spot by any of the 6 given boxes. I cannot understand from where these two balls within a single box is coming. All the previous boxes ...
518 views

### Expected number of squares in a 20x10 grid with 1% chance of removing each edge

Suppose I make a 20x10 grid out of match sticks, using 21 columns of 10 match sticks and 11 rows of 20 match sticks: ...
658 views

### Smallest number of matchsticks for a 3D structure with 6 matchsticks at each vertex

Make an as small as possible three dimensional structure of matchsticks, all of which have equal length, such that the end of each matchstick meets exactly five other ends. A matchstick is not allowed ...
280 views

### Find seven points so any three contain two of distance one

Choose 7 distinct points in the Euclidean plane so that among any 3 of those points, there are (at least) 2 that are a distance of exactly 1 apart.
1k views

### Touching matchsticks with compass and straightedge

The question Touching Matchsticks asked for the smallest matchstick graph where every node is connected to four distinct edges. The Harborth Graph is the smallest such, with 104 edges connecting 52 ...
1k views

### Touching Matchsticks

You are asked to place matchsticks on a flat surface such that each matchstick end meets three others, and no matches cross. It is easy to achieve this for patterns that extend indefintely: The ...
3k views

### What is the minimum number of matchsticks that you can use to build expressions having the following results?

Instructions You have a bag containing infinite number of matchsticks all having the same cuboidal shape and size. Digits can be made using these matchsticks: $0$ takes 6 matchsticks $1$ takes 2 ...
2k views

### 180 degree rotation matchstick equality

Several matchstick digits are still digits when rotated by 180 degrees: Note that 2 is rotated to 2. Thus, we can make a matchstick arithmetic expression which is valid when rotated 180 degrees. For ...