Let's say you fill in a 6 by 6 square with the numbers 1, 2, ..., 36. Is there a way to fill it so that the product of the first row is equal to the product of the first column, the product of the second row is equal to the product of the second column, ..., etc? So far I had already ask the n=4 ...

Let's have the following number $(3i-\frac{5}{3})^3$. What is the trick to factorizing this number in more than one way?

We are arranging the numbers from 1 to 8 in an order so that three consecutive terms cannot be increasing. For example, 12345678 isn’t allowed but 81436572 is. How many ways are there to do it? Please don’t use computers.

You can try this with pencil and paper, or make it a physical puzzle you can try out with your kids if you have one of those large 6x3 egg cartons laying around. Imagine you have 3 rows of 6 spots. Fill the first row with 6 red colored eggs, the second with 6 green colored eggs, and the last with...

This is an image of a Rubik's Cube I found in the Men's Toilets during the first day of a big Scrabble tournament. This position is impossible for the standard Rubik's Cube (White/Red/Blue opposite Yellow/Orange/Green respectively) for any number of reasons. Is this position legal for at least on...

This question is a continuation of this one, and you might want to read it if you haven't already. 'Another code-name,' I think. 'There's no way that's his real name'. Nonetheless, I type in 'ANONYMOUS' and the other monitors immediately blank out. There is no light left in the room except the li...

A group of pirates have plundered one of his majesty's cargo ships and they all carried as much gold coins as each one could find. When they get back to their ship, they sit at a round table and pass their gold around to the person to their left or right until each person has an equal number of ...

Dirac notation is very expressive: now only does it allow to write quantum states and operations more concisely, it can be used to shorten written English words and phrases! Here are some examples: What is shown on the hidden photo?

So I had an idea for a number-based door puzzle for a TTRPG campaign that could readjust itself every time a wrong guess is made. Here's the basic premise: Given two numbers, find two more numbers in such a way that: no number differs from any other number in the same way, and none of these diff...

In multiplayer Tetris, there are a number of opening setups that let you send powerful attacks very quickly. One popular opening is the DT Cannon, which allows the player to very quickly send a T-Spin Double followed by a T-Spin Triple. The standard DT Cannon setup looks like this: Here's a vide...

Someone told me that I should put a link to Fortnightly Topic Challenge #50: Escape Rooms... whatever that is, I guess. PSE, I need your help. I just got back from the worst escape room experience I've ever had in my life. Not only was the solution incredibly obvious, but it was also wrong for ...