Pythagoras theorem forever

    Now it’s summer, and September 1 will soon come and millions of children will go to school to chew on the granite of science, to receive knowledge and skills. We also decided to devote some time to the educational part and visualize the Pythagorean theorem using 3D technologies. So that whoever puts this puzzle together or at least sees how it develops will forever remember one of the main theorems of Euclidean geometry.



    As you know, there is no smoke without fire. This video was originally caught with a model of the Pythagorean theorem, but with a liquid.



    The video itself is beautiful, many remembered the school days and were sad, remembering only dry formulas and, as a result, confusion in the head, but let's not talk about sad things. Now, such exhibits are increasingly found in the educational process, but not all schools have the opportunity to make such an exhibit with liquid, but 3D printers in schools or students have already begun to appear.



    Therefore, we decided to design for 3D printing. One of the problems of most printers is the work area, and if you want to make a visual aid, you either need a large (and expensive) printer or break it into pieces.

    For designing, a triangle with sides divisible by 3.4 and 5, i.e. so that the equality 25 = 16 + 9 holds. The size of the side of the block ~ 20 mm was chosen so that it was convenient to take and so that this visual design could freely fit on a desk or desk.
    Everything is assembled on the pins, you can glue the joints after assembly. The inside of the triangle is also held by these six pins. A separate part is needed to visually emphasize the projection of the sides of the triangle onto the inner contour of the attached squares.



    When the simple assembly is completed, you can begin to lay the blocks symbolizing the "squares on the plane." Blocks are printed in two colors, so that each square of the leg has its own color, and after shifting them into the hypotenuse square, they must fill it out completely.



    STL files can be downloaded from our website .

    There are many ways to prove the Pythagorean theorem , but the main thing is to understand and remember the essence, so that you can successfully use this in practice.

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