Brain Teasers You Can't Solve, But Others Can: From Puzzle Tiles to Shared Pizza Slices
A square grid with three missing corner cells must be covered by 11 identical tiles, each made of three cells in a line. Sounds easy, right? Think again. The puzzle master behind this challenge points out that every position on the tile covers either blue, yellow, or red cells. If there's a solution, then the grid would have to contain 11 cells of each color - but it only has 12 red and 10 yellow cells. So, no matter how hard you try, there's no way to cover this grid with tiles.
Now, let's move on to another brain teaser. Take a look at two shapes below. The left-hand shape can be cut into four identical pieces that can fit together perfectly in the right-hand square form. But is there any other way to do it? The answer might surprise you: yes, there is! Cut along the black lines in a different pattern and rearrange the pieces to create the same square shape.
In this final puzzle, we're asked what's the minimum number of pizza slices needed so each person gets exactly the same amount. Sounds simple enough, right? Well, actually, it's not that easy. After some careful thought, we found out that 10 pieces are required - a half and an eighth for each person.
A square grid with three missing corner cells must be covered by 11 identical tiles, each made of three cells in a line. Sounds easy, right? Think again. The puzzle master behind this challenge points out that every position on the tile covers either blue, yellow, or red cells. If there's a solution, then the grid would have to contain 11 cells of each color - but it only has 12 red and 10 yellow cells. So, no matter how hard you try, there's no way to cover this grid with tiles.
Now, let's move on to another brain teaser. Take a look at two shapes below. The left-hand shape can be cut into four identical pieces that can fit together perfectly in the right-hand square form. But is there any other way to do it? The answer might surprise you: yes, there is! Cut along the black lines in a different pattern and rearrange the pieces to create the same square shape.
In this final puzzle, we're asked what's the minimum number of pizza slices needed so each person gets exactly the same amount. Sounds simple enough, right? Well, actually, it's not that easy. After some careful thought, we found out that 10 pieces are required - a half and an eighth for each person.