$N$ Hyenas are standing on a plane region in a forest. At $t=-1$, they see a dead meat nearby. Being selfish, at $t=0$, each Hyena attacks another Hyena which is standing nearest to it. All pairwise distances between them are distinct. Two questions follow: Atleast how many Hyenas will be unatta...

My potency to provoke, a smile or weeping, Repugnance in my core, I carry its keeping. With a fresh dawn, I set forth to explore, Guided by directions to engulf and implore. Roughly, we are benign cysts, not to fear, Held back, a young lover, I hear. What am I?

I was inspired by this great question. Can you place each number from 1 to 8 twice into a 2x8 grid, such that each pair of numbers $k$ are separated by Manhattan distance $k$?

Define a Skolem sequence to be a permutation of the sequence of 2n numbers 0, 0, 1, 1, 2, 2, ..., n-1, n-1 in which there are no numbers between the two 0s (the 0s are in adjacent positions), there is one number between the two 1s, there are two numbers between the two 2s, and more generally the ...

Shown below are 3 boxes A, B and C Box A shows 4 rows. Each row has a 3 letter blank. The 3 letters form a single word (same word for all 4 rows). After filling the blanks you should get 4 separate words. Box B shows 3 rows. Each row has a 2 letter blank. The 2 letters form a single word (same...

I was thinking about different puzzles that could be made in such a way that they use features of the Puzzling Stack Exchange site. For example, creating a new tag that could serve as the key for a coded message, hiding some sort of clue in the edit history, or even stage the question as one that...

Consider the quadratic equation $x^2+x+1=0$. $x=0$ is not a solution to this equation, so it is safe to divide both sides by $x$. $x+1+\frac{1}{x}=0$ Rearrange: $x+1=-\frac{1}{x}$ And substitute into the original equation. $x^2-\frac{1}{x}=0$ Multiply both sides by $x$. $x^3-1=0$ Trivially, a sol...