All Questions
Tagged with construction combinatorics
5
questions
-4
votes
1
answer
116
views
Binary Grid Challenge and X & O Conundrum
You are given a 5x5 grid with some cells filled with either "X" or "O". Your goal is to fill the remaining cells with "X" or "O" following these rules:
Each row ...
9
votes
2
answers
431
views
Colour the positive integers without making a blue equation
This puzzle is related to How do we find the numbers? but has a slightly more striking solution in my opinion. It is also based on one of my MathsSE answers.
What is the least number of colours you ...
6
votes
2
answers
435
views
How many function blocks do you need to make a controller?
You have 8 binary input signals to a controller, each one for each of the digits 1 - 8. The output is four binary signals, that make up the same number as the input. If the first input signal is ...
9
votes
1
answer
193
views
Constructing Tortuous Tours
We'll define a tour of some N x M grid as any sequence of tiles such that the first tile is the bottom left corner, any two consecutive tiles are adjacent, and every tile appears in the sequence ...
5
votes
2
answers
285
views
Brave Knight's Journey in N Dimensions
Queen Shayra does not have the most impressive following, but she intends to expand her influence. If she could settle down at the center of an N Dimensional 3-Cube and build a palace there, she would ...