HobbyNeedlework

Consider how to make an octahedron from paper

Among all the existing geometric figures, which appeared even in the times of antiquity, one of the most interesting is the octahedron. This figure is one of five bodies, called the Platonic. It is correct, symmetrical and multifaceted, and also has a sacred significance in terms of stereometry practiced in ancient Greece. Today this geometric body is studied by children in school, and in order to understand its structure better, we will consider how to make an octahedron from paper.

Prepare the materials

All that is needed during this process is scissors, glue, pencil, ruler, and the paper itself, which will form the basis of the future craft. It is believed that the independent production of such stereometric figures improves abstract thinking, allows you to better navigate in space. Therefore, you can, with the help of our short lesson, make up for lost geometry in school, or you can suggest to your child to make something similar if he has problems with the perception of geometric spaces and figures.

Sketch is a faithful helper

The first option of how to make an octahedron from paper is a ready-made sketch. The article suggests a picture that shows this figure in the sweep, and all you have to do is print it and glue it along the lines. So your craft will have the most accurate settings. Do not forget to glue the paper onto the cardboard beforehand so that the octahedron is more durable and lasts longer. This is especially important if it is intended for a child.

All with own hands

Another version of how to make an octahedron made of paper is based on simple formulas and drawing. This geometric figure consists of 8 faces, 6 vertices and 12 edges, each 4 of which converge at one vertex. If you add all the angles of the octahedron into a single number, the sum will be 240 degrees. It is also worth noting that this mythical stereotype has a triangular base and is completely symmetrical, so it is often called anti-prism.

Lessons of stereometry

The development of an octahedron represents a definite set of completely equal triangles. Six of them are lined up in a single row on the "jack" principle, while the other two are adjacent to two middle figures on different sides. Therefore, the answer to the question of how to make an octahedron from paper without mock-ups is simple. You only need to choose a single face value, and put it into the basis of eight equilateral triangles. Do not forget to just leave allowances on the fold line, along which you glue the future craft.

Intricate secrets of geometry

There are different varieties of this stereotype. Among these are the cuboctahedron. The sweep consists of 6 squares and 8 regular triangles, which are assembled into a body according to the symmetry rules. This figure is semi-correct, and, it is worth noting, quite young. It was open to the creator of Leonardo da Vinci, and was then called the "star octahedron." You can also do it according to the scheme suggested in the article.

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