Matchstick puzzles azada6/24/2023 Is it really true? Thinking in abstraction This second hanging stick from an already destroyed square is moved as the second stick.Īt last, a clue on what type of 2 sticks would destroy only 1 square when moved,Ĭonclusion 9: The 2 sticks that will destroy only one square when moved must be two CORNER STICKS OF A SQUARE IN THE PUZZLE FIGURE. How can 1 square be destroyed in 2 stick moves? Moving what type of sticks (by placement in figure) would do that?Ĭonclusion 8: The first stick move destroys 1 square and creates 1 hanging stick still attached to the puzzle figure. This is the time to recall the result of Conclusion 4,Ĭonclusion 4: ONLY 1 SQUARE TO BE DESTROYED in 2 stick moves and second square to be destroyed by 3rd stick move. Who created this single hanging stick? Which stick move produces this so very helpful result? It is the NET RESULT BEFORE CREATION OF THE NEW SQUARE. To be totally clear, the single hanging stick will be created only after the three sticks are moved away from their places in the puzzle figure. Solution stage 4: Move 3 matches to make 4 squares from 5 squares: Conclusions by hanging stick and stick move analysis Take a pause again to decide that this is the only way.Ĭonclusion 6: The existing single side must be a hanging stick created in 3 stick moves, isn’t it?Ĭonclusion 7: BEFORE CREATION OF THE NEW SQUARE, a single hanging stick has to be created in 3 stick moves. How about creating the new square? How can a new square be created using 3 free sticks?Ĭonclusion 5: On one existing side, complete the other 3 sides of a square with 3 free sticks moved. In 3 stick moves 2 squares are destroyed till now (just imagine, it is visualization). Solution stage 3: Move 3 sticks to make 4 squares from 5 squares: Conclusions by analyzing creation of a single square Take a pause now to verify conclusions made. In other words, ONLY 1 SQUARE TO BE DESTROYED in 2 stick moves and second square to be destroyed by 3rd stick move. Translate the result to make an important conclusion,Ĭonclusion 4: Number of squares destroyed must be: ⇒ 1 square by 1 stick move, 1 square by 1 stick move and 0 square by 1 stick move. The numbers represent the number of squares destroyed in 1 stick move. Simple math: Break up of 2 as a sum of three numbers each at most 1: ⇒ 2 = 1 + 1 + 0. Understanding fully how this happens should make the solution clear.įact: As moving a common stick is not acceptable, moving 1 stick destroys only 1 or 0 square. Question: How to destroy 2 squares in 3 stick moves? Moving only a common stick can destroy 2 squares, isn’t it? Reasoning: as common stick move cannot be considered, any of the three stick moves can destroy AT MOST 1 square. Solution stage 2: Move 3 matches to make 4 squares from 5 squares: Conclusions by analyzing the number of squares to be destroyedĬonclusion 3: To get 4 squares from 5 squares in 3 stick moves, 2 squares to be destroyed and 1 square to be created. This will make solution impossible.Ĭonclusion 2: Moving any common stick is not an option. If a common stick is moved, 2 squares will be destroyed with at least 5 sticks not forming any side of a square. This is the first important conclusion made by analyzing the number of sticks required.įact: Movement of any single stick from the puzzle figure will destroy at least 1 square. So,Ĭonclusion 1: The 4 squares in the solution figure must be independent of each other with no common stick between any two squares. 16 sticks are enough to make 4 squares of equal size with no stick common to two squares. by structural analysis and reasoning, andįirst Solution to the 5 squares matchstick puzzle - Move 3 matches to make 4 squares from 5 squares: By structural analysis and reasoning Solution stage 1: Initial Problem analysis and Conclusionsįor convenience, the puzzle figure is shown again.įirst action is to count the total number of sticks.The puzzle is solved in two different ways, When you are ready, go through our step by step solutions. This matchstick puzzle is one of the more interesting 5 squares puzzles. In fact, most of the matchstick puzzles, especially the 5 squares puzzles, are fun to solve. Give it a try-it will sure be interesting to solve. Move 3 matches to make 4 squares from 5 squares in the matchstick puzzle figure.Įvery matchstick must be a side in a square in the final solution. Move 3 matches to make 4 squares from 5 squares matchstick puzzle
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