![]() ![]() Two triangles can form a rhombus but not a squareĪs you can place a stick as the shorter diagonal in a rhombus, effectively you can combine two triangles to form a rhombus, but not a square. You’ll just try out the possibility by actually placing a stick to connect two nearer corners of the tilted four-sided closed shape and check for yourself whether you have got two triangles as a result.īut you can’t use a stick as the diagonal of a square because diagonal is always longer than any of its sides in a square. But you won’t use any geometry or math concepts in solving matchstick puzzles, isn’t it? ![]() Geometrically, the shorter diagonal divides a rhombus into two equilateral triangles. In a regular shape like a rhombus A in the puzzle figure shown below, you can place a stick as the shorter diagonal to divide the rhombus into two triangles, increasing the number of closed shapes by 1. reduces the need for the number of sticks to form the two matchstick shapes independently by 1.destroys two regular matchstick shapes if removed,.Concepts needed to solve the mixed matchstick shapes puzzle Common stick propertiesĪ common stick between two closed matchstick shapes, In geometry, such a shape is called a regular shape.Ī matchstick triangle (which is an equilateral triangle) is a regular matchstick shape, whereas you can make two types of closed regular matchstick shapes with 4 matchsticks-a square and a rhombus with tilted sides.īecause of the different types of regular shapes as components, you can classify this puzzle as a matchstick puzzle of mixed matchstick shapes. If you make a closed shape using matchsticks of the same length, all sides of the shape will be of equal length. This is the first time we face a matchstick puzzle made up of regular matchstick shapes of different types-one triangle of 3 sides, two squares and one tilted closed shape of 4 sides that is called a rhombus. Part II: How many ways can you form the new solution figure? Part I: In the puzzle figure, move 1 stick to make 5 closed matchstick shapes with 3 or 4 sides. With the experience of solving the first matchstick shapes puzzle it should be easy for you to solve this variation. Move 1 stick to make 4 matchstick shapes of triangles, squares or rhombuses. Matchstick puzzle: Move 1 stick to make 4 matchstick shapes ![]()
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