Dmitry Kamenetsky asked the following two questions: Making two fair dice Making three fair dice My question is a generalization of Dmitry‘s questions. You are given N unlabelled standard 6-sided dice. For which values of N>3, if any, can you write every number from 1 to 6N on the dice, such that...

Under the assumption that every triangle area is given by the equation "S = constant X Base X height", with a simple drawing it is demonstrated that the constant is 1/2. Assuming that a pyramid volume is given by "V = constant X base X height" create an object that shows that the constant is 1/3 ...

Two players play the following game: Each player writes down a whole number between 0 and 100 on a slip of paper, then the players simultaneously reveal their choices. If the difference between the two numbers is at least 60, then the player with the smaller number wins, otherwise the player with...

The grid you see below is composed of unit squares. Can you figure out who I am? l=1/2 r=1/4 w=1/4

A group of $M$ mathematicians each have a number written on their foreheads, visible to all but themself. One day, a meta-mathematician comes by and remarked, "I see all the numbers are distingct natural numbers." She then proceeds to repeatedly ask them the question: Do you know where your numbe...

You have been captured for the crime of making a rude comment on Puzzling Stack Exchange and sent to Puzzlcatraz, a special prison for perfectly logical logicians. The warden is fair and decides to play a game with you, as is standard for this prison. Failure to win the game results in death. The...

Which four-letter word fits the clue "Moderation strike: a tired lunatic"? Disclaimer: