Standard diagramless crossword rules apply: Black squares will have rotational symmetry, all words are 3 letters or longer, and no letters are unchecked. Across clues are in the correct order, but Down clues have been alphabetized. As an additional hint, each grid will have fifteen black squares....

This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2023. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > Evening all! Please put the images in chronological order:

This is, quite literally, a connect-wall puzzle where the group's connections can be connected to form one final connection, which is the puzzle's answer. It has been compiled using a mixture of connecting methods used in the original BBC TV series, Only Connect. For this Connecting Wall, you wil...

Can you construct a 3-level binary tree with the values 1 to 7 such that the sum of values at any level is a distinct power of 2? Bonus: Can you do this with any n-level binary tree with values 1 to $2^n-1$?

In Naughty knights it’s asked to prove that it’s impossible to fit more than 32 knights such that no knight attacking other. Can you find the minimum amount of knights, filling the table in a way that fitting any other knight is impossible unless two attacking each other.

I would like to draw your attention to this mathematical sequence and ask what the missing number is. 2, 5, 27, 182, 2310, 27200, _____, 8998400, 223092870 It is a six-digit number, related to the prime numbers.

How to solve this sequence 011010, 100010, 100010, 100010, 000010, ?, 100010 https://free.ultimaiq.net/nse.htm