Can You Solve These Puzzling Slices of Geometry?
The question remains whether you're cut out for these puzzling slices, which were set earlier today. Bonnie Tiler presents three challenging geometry puzzles that put your problem-solving skills to the test.
One puzzle involves a square grid with three missing corner cells and a tile made up of three cells in a line. Can 33 cells be covered using 11 tiles? The answer is no; if a covering existed, it would require 11 blue, yellow, and red cells, but there are only 12 red cells and 10 yellow ones.
A second puzzle requires cutting a left-hand shape into four identical pieces that can then be rearranged to form a square. But can you find another way to achieve this? The solution is yes; by rotating or reflecting the pieces, you can create a different configuration.
Lastly, three pizzas need to be divided among five people in equal shares. Can you come up with a way to divide the pizza into 10 pieces so each person gets exactly half and a tenth of a slice? The answer is yes; ten pieces are the smallest number of slices that achieve this division.
These puzzles require logical thinking, spatial reasoning, and attention to detail. Will you be able to solve them, or will they prove too puzzling for your skills?
The question remains whether you're cut out for these puzzling slices, which were set earlier today. Bonnie Tiler presents three challenging geometry puzzles that put your problem-solving skills to the test.
One puzzle involves a square grid with three missing corner cells and a tile made up of three cells in a line. Can 33 cells be covered using 11 tiles? The answer is no; if a covering existed, it would require 11 blue, yellow, and red cells, but there are only 12 red cells and 10 yellow ones.
A second puzzle requires cutting a left-hand shape into four identical pieces that can then be rearranged to form a square. But can you find another way to achieve this? The solution is yes; by rotating or reflecting the pieces, you can create a different configuration.
Lastly, three pizzas need to be divided among five people in equal shares. Can you come up with a way to divide the pizza into 10 pieces so each person gets exactly half and a tenth of a slice? The answer is yes; ten pieces are the smallest number of slices that achieve this division.
These puzzles require logical thinking, spatial reasoning, and attention to detail. Will you be able to solve them, or will they prove too puzzling for your skills?