How to make an octahedron out of paper step by step instructions. Consider how to make an octahedron out of paper

Positive polyhedra were already famous in Ancient Greece. They are called the "Platonic" solids. Four positive polyhedra - tetrahedron, icosahedron, cube and octahedron- personify the four "essences", the elements. The octahedron symbolizes air.

You will need

- paper;
- pencil;
- ruler.

Instruction

1. The octahedron consists of eight faces that are positive triangles. In a right triangle, all sides are equal. The angles between the sides of such a triangle are 60°. Heights, medians, bisectors are the same. To build the correct octahedron and you need a cube.

2. To build a cube, draw a square. Step back some distance to the right and up, build another similar square (left and bottom lines will be dashed). Unite the corresponding paired points of both squares until the cube is rendered. From the fact that on its basis you will build octahedron, make it huge and distinct.

3. Let a cube be given. Need to build octahedron inscribed in it. Draw diagonals for the entire face of the cube. Mark the intersection points of the diagonals. Combine all received points with each other. Positive octahedron, inscribed in a cube, is ready.

4. To prove that the resulting figure is positive octahedron, you need to confirm the correctness of the triangles. In order to confirm that the face triangles are correct, draw perpendiculars from their vertices to the edges of the cube. Use Properties right triangles and cube.

5. It is also allowed to build octahedron, described about the given cube. Let a be the length of the edge of the cube. Find the centers of the entire face (these are the intersection points of the diagonals). Draw straight lines through the centers of opposite faces. They intersect in the center of the cube, the one that can be designated as point O.

6. It turns out that there are two lines intersecting at point O. Set aside on each of the lines on both sides a segment equal to 3a / 2. Unite the ends of the segments you have obtained. This will be the frame of the positive octahedron a, described near the cube.

The medians of a triangle are the segments that are drawn from the corresponding vertices of the triangle to opposite sides and divide them into 2 equal parts. In order to build medians in a triangle, you need to take 2 steps.

You will need

- A pre-drawn triangle, the dimensions of the sides are arbitrary;
-Ruler;
-Pencil and pen.

Instruction

1. A pencil and a ruler are taken, and after that, with their support, points are marked on the sides of the triangle so that they divide the corresponding sides of the triangle in half. One of the options for how they need to be noticed is in Figure 1.

2. Now, with the help of a red / blue or other colored pen and ruler, a segment is drawn from any vertex of the triangle, and in such a way that it connects the vertices of the triangle with their corresponding opposite lines at the points that were erected in the first step. An approximate version of how this should turn out is shown in Figure 2.

Related videos

Note!
In order to check the correctness of the construction, it must be taken into account that all the medians of the triangle intersect at one point, which is called the center point.

If you have a sauna on the site, be aware that this is not an easy sanitary and hygienic room. This is a real home hospital. In the steam room, your skin is cleansed, all unnecessary is removed from the body, irritation and fatigue leave it. And what kind of massage can be compared with a birch broom? Decided to raise steam room !

Instruction

1. Building a sauna with a steam room is not an easy task. the sauna is an object of increased fire hazard. It is for this reason that even in the old days baths in Russia were built away from housing, in vegetable gardens, to store rivers, reservoirs. Secondly, not every tree is suitable for building a steam room. Before starting construction, you need to select the right material. Thirdly, decide on the design of the furnace, which will provide the necessary heat and steam for the steam room in the required number.

2. It turns out that a place for construction has been chosen, taking into account the location of a nearby water source. Place the bath in a colorful corner of your site. conifers. As a vapor barrier, use aluminum foil laid on the inside of the walls of the steam room. In this case, two snags go away - the third-party smell from the sealing material disappears, the one that was used when laying the timber (tow, tourniquet, etc.); and, in addition, you will get rid of the origin of the resin on the walls. To sheathe the ceiling, walls over the vapor barrier is cooler than any board made of aspen or alder. These types of wood make the air in the steam room “lighter”.

3. The best wood for shelves is linden. On the floor, any board is suitable, in addition to birch or made from conifers. The first one does not work well in conditions of high humidity (it rapidly rots), the second releases resin when heated, which causes some inconvenience. Shelves are made on different tiers. This is necessary in order for you to enter steam room, could first warm up and get used to its warmth, settling on the lower shelves. And after that, it’s great to take a steam bath on the top shelf. Their dimensions must be such that it is allowed to comfortably sit on them lying down.

4. And finally, the heart of the steam room is the oven. The lightest and farthest away worst case- This is a standard metal furnace. Firewood is used as fuel in it. Make a firebox with access to the dressing room. This will allow, without making additional devices, to provide it with heat (heat will come from the front wall of the furnace) and each garbage (wood chips, etc.) will be outside the washing and steam compartments. Isolate the furnace outlet from the wall by lining it with bricks. Also cover the stove inside the steam room with red brick. The distance between the walls of the furnace and the brickwork should be within 2-3 cm. The gap is needed so that the furnace, expanding when heated, cannot break the brickwork. Brick lining the furnace is necessary in order to smooth out the steep temperature of the metal, and the heated bricks save the heat received from the iron longer.

Related videos

The octahedron is one of the four positive polyhedra to which people have attached magical significance since ancient times. This polyhedron symbolized air. The demonstration model of the octahedron can be made of thick paper or wire.

You will need

- thick paper or cardboard;
- ruler;
- pencil;
- protractor;
- scissors;
- PVA glue.

Instruction

1. The octahedron has eight faces, each of which is an equilateral triangle. In geometry, an octahedron is traditionally built, inscribed in a cube or described near it. To model this geometric body, difficult calculations are not required. The octahedron will consist of 2 identical tetrahedral pyramids glued together.

2. Draw a square on a piece of paper. Construct a right triangle on one of its sides, in which all sides are equal, and each of the angles is 60 °. It is convenient to build a triangle using a protractor, setting aside from 2 corners of the square adjacent to the same side of 60 °. Draw rays through the marks. The point from the intersection will be the third corner, and in the future - the top of the pyramid. Build the same triangles on the other sides of the square.

3. You will have to glue the pyramid. This will require allowances. Four allowances are enough, one for each triangle. Cut out what you have. Make a second one of the same kind. Bend the fold lines to the wrong side.

4. Bend each of the triangles to the wrong side. Spread allowances with PVA glue. Glue two identical pyramids together and let them dry.

5. Now you need to glue the pyramids together. Spread the square bottom of one of them with glue, press the bottom of the second, aligning the sides and corners. Let the octahedron dry.

6. In order to make a model of an octahedron out of wire, you will need a cardboard or wooden square. However, it is allowed to get by with an ordinary triangle - in order to bend the workpiece at a right angle, it is absolutely enough. Bend the wire into a square.

7. Cut 4 identical pieces of wire the size of 2 sides of the square, plus an allowance for fastening them at 2 points to each other, and, if necessary, to attach to the corners of the square. It depends on the wire. If the material is solderable, the length of the edges is equal to twice the side of the square without any allowances.

8. Find the middle of the piece, wind or solder it to the corner of the square. Attach the rest of the blanks in the same way. Unite the ends of the ribs located on one side of the square base with each other. True triangles will turn out by themselves. Do the same operation with the ends of the ribs located on the other side of the base. The octahedron is ready.

Useful advice
Wire for similar models must be chosen one that perfectly holds its shape.

The art of origami came to us from Ancient China. At the dawn of its formation, figurines of animals and birds were made from paper. But today it is allowed to create not only them, but also difficult geometric shapes.

You will need

- a sheet of A4 paper
- scissors

Instruction

1. To produce a three-dimensional geometric figure, an octahedron needs a square sheet of paper. It is allowed to make common leaf A4 format. To do this, bend the upper right or left corner of the sheet to the opposite side. Make a note on a piece of paper. Draw a line parallel to the narrow side of the sheet at the mark you made. Cut off the unwanted piece of paper. Fold the square in half.

2. Attach the top right corner to the center fold. Align the upper left corner so that the fold line passes through the attached upper right corner.

3. Fold the lower left corner of the square towards the midline. Aligning the lower right corner like the upper corners, make a fold. Later, the workpiece must be overturned.

4. Fold the bottom right corner of the part and the top left corner to the center fold. Iron the workpiece with your hand and turn it over to the other side.

5. Align the top and bottom sides with the resulting fold line. Smooth out the workpiece with your hand.

6. Bend the sides of the figure to the middle line of the square. Turn the part over to the opposite side.

7. Fold the piece from bottom to top in a horizontal line. The result should be a figure resembling the Latin letter "V".

8. Fold the left side down along the left side of the center triangle. Fold the right side down along the right side of the center triangle.

9. Make stripes on the upper sides of the figurine. The fold point of the strips will begin at the bottom of the inner cutout of the "V".

10. Bend the upper left corner to the fold line of the strip. Later, fold the strip down. Fold the right corner and strip in the same way.

11. Fold the left side down.

12. The figure shows pockets and inserts for assembling an octahedron.

13. To construct an octahedron, you need to make 4 such modules. Align the two modules at an angle, tucking the protruding parts into the pockets. Then assemble all 4 modules together.

14. It turned out geometric figure called an octahedron.

Useful advice
Lines that are not visible must be dashed. If you are in doubt whether one or the other segment is visible, build a dotted one in a cooler way. It is easier to complete a dotted line to a solid line than to correct a solid line to a dotted line.

Build another similar square (left and bottom lines will be dotted). Connect the corresponding paired points of both squares to visualize the cube. Since you will build an octahedron on its basis, make it large and clear.

Let a cube be given. It is necessary to construct an octahedron inscribed in it. Draw diagonals for each face of the cube. Mark the intersection points of the diagonals. Connect all received points with each other. A regular octahedron inscribed in a cube is ready.

To prove that the resulting figure is a regular octahedron, it is necessary to prove the regularity of triangles. To prove that the face triangles are regular, draw perpendiculars from their vertices to the edges of the cube. Use the properties of right triangles and a cube.

It is also possible to construct an octahedron circumscribed about a given cube. Let a be the length of the edge of the cube. Find the centers of each face (these are the intersection points of the diagonals). Draw straight lines through the centers of opposite faces. They intersect at the center of the cube, which can be designated as point O.

So, there are two lines that intersect at point O. Set aside on each of the lines on both sides a segment equal to 3a / 2. Connect the ends of the segments you received. This will be the frame of the regular octahedron described near the cube.

Useful advice

Lines that are not visible should be dashed. If you are in doubt whether a particular segment is visible, it is better to build a dotted one. It is easier to complete a dotted line into a solid line than to correct a solid line into a dotted line.

A dodecahedron is a regular polyhedron whose faces are twelve regular pentagons. The simplest regular polyhedron to build is a hexahedron or a cube; all other polyhedra can be built by inscribing or describing them around it. A dodecahedron can be constructed by describing it around a cube.

Instruction

Construct a cube with edge length a. Calculate the length of the dodecahedron under construction using the formula: m = -a / 2 + av5 / 2, where a is the length of the edge of the cube.

Construct a pentagon ABCDE with diagonals AC and BE. AB=BC=a. Calculate Height triangle ABC and label it s = BN.

Repeat constructions 2 and 4 for each face, as a result you will get a regular polyhedron described near the cube - a dodecahedron.

Prepare materials

All that is needed during this process is scissors, glue, a pencil, a ruler, and the paper itself, which will form the basis of future crafts. It is believed that the independent production of such stereometric figures improves abstract thinking, allows you to better orient yourself in space. Therefore, you can use our short lesson catch up on geometric skills lost at school, or offer your child to blind something similar if he has problems with the perception of geometric spaces and shapes.

Sketch is a faithful assistant

The first option on how to make an octahedron out of paper is a ready-made sketch. The article offers a picture that shows this figure in a scan, and all that remains for you is to print it and glue it along the marked lines. So your craft will have the most accurate parameters. Just remember to pre-glue the paper on the cardboard so that the octahedron is more durable and lasts longer. This is especially important if it is intended for a child.

All with your own hands

Another option on how to make an octahedron out 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 up all the angles of an octahedron into a single number, then the sum will be equal to 240 degrees. It is also worth noting that this mythical stereofigure has a triangular base and is completely symmetrical, which is why it is often called an antiprism.

Stereometry lessons

The unfolding of the octahedron represents a certain set of triangles that are completely equal to each other. Six of them are lined up in a single row according to the “jack” principle, and the other two, with their bases, adjoin the two middle figures from different sides. Therefore, the answer to the question of how to make an octahedron out of paper without layouts is simple. All you have to do is choose a single face value and base it on eight equilateral triangles. Just remember to leave allowances on the fold line along which you will glue the future craft.

The intricate mysteries of geometry

There are various types of such a stereofigure. Among these is the cuboctahedron. The development consists of 6 squares and 8 regular triangles, which are assembled into a three-dimensional body according to the rules of symmetry. This figure is semi-correct, and, it is worth noting, quite young. It was discovered by the creator of Leonardo da Vinci, and then it was called the "stellated octahedron". You can also make it according to the scheme proposed in the article.

A dodecahedron is a regular polyhedron composed of twelve regular pentagons. This spectacular three-dimensional figure has a center of symmetry called the center of the dodecahedron. In addition, it contains fifteen planes of symmetry (in each face, any of them passes through the middle of the opposite edge and the vertex) and fifteen axes of symmetry (crossing the midpoints of parallel opposite edges). Each of the vertices of the dodecahedron is the vertex of three regular pentagons.

The construction got its name by the number of its faces (traditionally, the ancient Greeks gave polyhedrons names that reflect the number of faces that make up the structure of the figure). Thus, the concept of "dodecahedron" is formed from the meanings of two words: "dodeca" (twelve) and "khedra" (face). The figure belongs to one of the five Platonic solids (along with the tetrahedron, octahedron, hexahedron (cube) and). Interestingly, according to numerous historical documents, all of them were actively used by the inhabitants of ancient Greece in the form of desktop dice and were made from a variety of materials.

Regular polyhedrons have always attracted people with their beauty, organicity and extraordinary perfection of forms, but the dodecahedron has a special history, which from year to year is overgrown with new, sometimes completely mystical, facts. Representatives of many civilizations saw in him a supernatural and mysterious essence, arguing that: "Many things grow out of the number of twelve." In the territories of the ancient ruined states, small figurines in the form of dodecahedrons made of bronze, stone or bone are still found. In addition, during excavations in the lands of modern England, France, Germany, Hungary, Italy, archaeologists discovered several hundred so-called "Roman dodecahedrons" dating back to the 2nd-3rd centuries AD. The main dimensions of the figurines range from four to eleven centimeters, and they differ in the most incredible patterns, textures and technique. Put forward in the days of Plato, the version that the Universe is huge size dodecahedron, was confirmed already at the beginning of the 21st century. After careful analysis of the data acquired by WMAP(multifunctional spacecraft NASA), scientists agreed with the assumption of ancient Greek astronomers, mathematicians and physicists, who at one time dealt with the study of the celestial sphere and its structure. Moreover, modern researchers believe that our Universe is an infinitely repeating set of dodecahedrons.

How to make the correct dodecahedron with your own hands

Today, the design of this figure has found its reflection in many variants of artistic creativity, architecture and construction. Craftsmen make unusually beautiful origami in the form of openwork dodecahedrons from colored or white paper, and original ones are made from cardboard, etc.). On sale, you can buy ready-made kits containing everything you need to make souvenirs, but the most interesting thing is to do the whole process of working with your own hands, from building individual parts to assembling the finished structure.

Materials:

In order to make the correct dodecahedron out of cardboard, you need the material itself and the tools at hand:

scissors,
pencil,
eraser,
ruler,
glue.

It is good to have a dull knife or some kind of device for bending allowances, but if they are not there, then a metal ruler or the same scissors is quite suitable.

How to make a stellated dodecahedron

Stellated dodecahedrons have more complex structure compared to the usual ones. These polyhedra are subdivided into small (of the first continuation), medium (of the second continuation) and large (the last stellate form of a regular dodecahedron). Each of them has its own features of construction and assembly. For work, you will need the same materials and tools as for the manufacture of a standard dodecahedron. If you decide to make the first option (small dodecahedron), then you need to build a drawing of the first element, which will become the basis for the entire structure (later it is glued or the parts are assembled using paper clips).

How to make an octahedron out of paper (video, photo)?

An octahedron is a polyhedron that has triangles as faces and is a regular polyhedron. So he has only eight faces and, accordingly, twelve edges, six vertices.

It looks like this:

To make it, draw it like this on cardboard:

Wrap the specially left edges inside and glue.

An octahedron is a geometric figure that has eight faces. Each face is an equilateral triangle .. In order to make this figure, you need to draw on cardboard (or paper) such a figure of triangles:

Or like this:

Bend along the lines and assemble the figure, glue the sides.

The end result should look like this:

An octahedron is a polyhedron with triangle faces, it has a regular polyhedron type, 8 faces, and 12 edges, 6 vertices, 4 faces at the vertex. This is not such a simple cubic polyhedron, but it is easy to make. Watching video

The octahedron is such a voluminous figure, it is not at all difficult to assemble it from paper, you only need paper, scissors and glue. You can draw the pattern yourself, or you can print it from the Internet.

You can also assemble it from a video, for example, on this one, the process of applying the pattern is shown here.

Making an octahedron out of paper

First you need to make a pattern, from which we will then fold and glue the octahedron. In principle, an octahedron can be made by simply gluing two pyramids together, but there is an even simpler way, that is, you can make it from one sheet of paper.

The following octahedron pattern is popular:

When we have drawn a pattern (although it is better to take a ready-made one on the Internet and print it out on a printer), we cut it out. Then we bend the figure along the fold lines, that is, we try to figure out what to attach to what in order to assemble an octahedron from the pattern. Next, we coat the fields for glue (small stripes along the edges of some sides) and connect the sides of the octahedron to each other.

Then we hold a little in our hands (we press) until the glue dries enough, that is, until the moment when the figure itself holds on to the glue. It is best to use glue Supermoment, then the sun will turn out both quickly and firmly.

The octahedron has 8 faces, all of them are triangular, so it is not difficult to assemble such a variant of a three-dimensional figure. You can even draw the so-called pattern yourself. In order not to be mistaken, it is better to take paper in a cage and draw such a figure on it, transfer it to thick paper and even write something on future faces, for example, like this:

Well, then match all the faces and glue them.

If we are talking about an ordinary octahedron, then the process is quite simple. It is enough to print and cut out pattern - the layout offered here, or you can draw it yourself, looking at the photo, because octahedron is six equilateral triangles in a row with valves and two on the sides (you can say opposite each otherquot ;, but here it is important at what angle to look) without valves.

This video shows the manufacturing process. octahedron: bend all the lines, smear the valves with glue and attach the sides to the valves, it is impossible to make a mistake in the sequence of actions:

And here the figure is more complicated - stellated octahedron. The craftsman shows how such a complex polyhedron can be made from a single sheet of paper without glue. He also gave a step-by-step explanation of his actions. I note right away: watching them is easier than trying to do it yourself, at least the first time.

Exactly the same process, but with a different master, with different hands and comments, can be seen here:

As an option: the process of creating a stellated octahedron puzzles explain (and also provide layouts) here.

You will need

- paper;
- pencil;
- ruler.

Instruction

You will need

- A pre-drawn triangle, the dimensions of the sides are arbitrary;
-Ruler;
-Pencil and pen.

Instruction

Related videos

Note!
In order to check the correctness of the construction, it must be taken into account that all the medians of the triangle intersect at one point, which is called the center point.

Instruction

2. It turns out that a place for construction has been chosen, taking into account the location of a nearby water source. Place the bath in a colorful corner of your site. For a log cabin of a steam room, a beam made of coniferous wood is better than anyone. As a vapor barrier, use aluminum foil laid on the inside of the walls of the steam room. In this case, two snags go away - the third-party smell from the sealing material disappears, the one that was used when laying the timber (tow, tourniquet, etc.); and, in addition, you will get rid of the origin of the resin on the walls. To sheathe the ceiling, walls over the vapor barrier is cooler than any board made of aspen or alder. These types of wood make the air in the steam room “lighter”.

4. And finally, the heart of the steam room is the oven. The easiest and far from the worst option is a standard metal furnace. Firewood is used as fuel in it. Make a firebox with access to the dressing room. This will allow, without making additional devices, to provide it with heat (heat will come from the front wall of the furnace) and each garbage (wood chips, etc.) will be outside the washing and steam compartments. Isolate the furnace outlet from the wall by lining it with bricks. Also cover the stove inside the steam room with red brick. The distance between the walls of the furnace and the brickwork should be within 2-3 cm. The gap is needed so that the furnace, expanding when heated, cannot break the brickwork. Brick lining the furnace is necessary in order to smooth out the steep temperature of the metal, and the heated bricks save the heat received from the iron longer.

Related videos

You will need

- thick paper or cardboard;
- ruler;
- pencil;
- protractor;
- scissors;
- PVA glue.

Instruction

1. The octahedron has eight faces, each of which is an equilateral triangle. In geometry, an octahedron is traditionally built, inscribed in a cube or described near it. In order to make a model of this geometric body, difficult calculations are not required. The octahedron will consist of 2 identical tetrahedral pyramids glued together.

4. Bend each of the triangles to the wrong side. Spread allowances with PVA glue. Glue two identical pyramids together and let them dry.

5. Now you need to glue the pyramids together. Spread the square bottom of one of them with glue, press the bottom of the second, aligning the sides and corners. Let the octahedron dry.

Useful advice
Wire for similar models must be chosen one that perfectly holds its shape.

You will need

- a sheet of A4 paper
- scissors

Instruction

1. To produce a three-dimensional geometric figure, an octahedron needs a square sheet of paper. It is allowed to make it from an ordinary A4 sheet. To do this, bend the upper right or left corner of the sheet to the opposite side. Make a note on a piece of paper. Draw a line parallel to the narrow side of the sheet at the mark you made. Cut off the unwanted piece of paper. Fold the square in half.

2. Attach the top right corner to the center fold. Align the upper left corner so that the fold line passes through the attached upper right corner.

3. Fold the lower left corner of the square towards the midline. Aligning the lower right corner like the upper corners, make a fold. Later, the workpiece must be overturned.

4. Fold the bottom right corner of the part and the top left corner to the center fold. Iron the workpiece with your hand and turn it over to the other side.

5. Align the top and bottom sides with the resulting fold line. Smooth out the workpiece with your hand.

6. Bend the sides of the figure to the middle line of the square. Turn the part over to the opposite side.

7. Fold the piece from bottom to top in a horizontal line. The result should be a figure resembling the Latin letter "V".

8. Fold the left side down along the left side of the center triangle. Fold the right side down along the right side of the center triangle.

9. Make stripes on the upper sides of the figurine. The fold point of the strips will begin at the bottom of the inner cutout of the "V".

10. Bend the upper left corner to the fold line of the strip. Later, fold the strip down. Fold the right corner and strip in the same way.

11. Fold the left side down.

12. The figure shows pockets and inserts for assembling an octahedron.

13. To construct an octahedron, you need to make 4 such modules. Align the two modules at an angle, tucking the protruding parts into the pockets. Then assemble all 4 modules together.

14. The result is a geometric figure called an octahedron.

Preparing the Components

Before you start making an octahedron out of paper, you should stock up on the right components and tools. You will need:

Scissors
Pencil or pen
Ruler
Thick paper or thin cardboard.

As you can see, all these materials are very common and you can easily find them at home. It is worth noting that a homemade toy will help the child to better develop spatial thinking, and in the process of its manufacture - fine motor skills when working with paper.

Where to begin?

First you need to prepare a sketch for the future figure. Below you can already find ready template, which should be printed and transferred to the appropriate material. When you have already made the correct markup, you will need to cut it out and glue everything together. At the same time, try to make the template accurate - the more accurate it is, the better the figure itself will turn out. If your child is unable to cut the pattern on their own, they may need help.

Making your own template

If you do not want to use a ready-made blank, then you can make it yourself, using the basic geometric positions. It is worth noting that the octahedron has the following properties:

Has eight edges
six peaks
Twelve ribs. Four of which converge at the vertices.
Has a triangular base
The octahedron is completely symmetrical.

So, as you learned, the unfolding of a figure consists of a certain number of correct and equal triangles, which are arranged in a certain sequence. So, for example, six of them must be placed in a row, according to the “jack” principle. The other two triangles are adjacent to the middle figures.

As you could understand, making an octahedron with your own hands out of paper is actually very simple and easy. Before unfolding, you should choose the length of the edge. In addition, you should make "wings" with which you will glue the figure. After you cut out the shape, use a ruler to fold all the lines well.

In addition to the above development, there is another version of the development of such a figure - it is called the "cuboctahedron". Outwardly, it consists of six squares and eight triangles. Initially, this figure was known back in the time of Leonardo da Vinci and was called the "stellated octahedron".

Second way

Below we will present another method that will help you make an octahedron out of paper. For this you will need:

Cardboard or very thick paper
Ruler for marking and bending lines
Pencil
Protractor for measuring angles
Scissors
Paper glue (such as PVA)

How to do?

The octahedron has eight faces, which are equilateral triangles. In geometry, this figure is built using a cube, in which it is inscribed or described around. In addition to this method, there is a simpler one - just glue two identical tetrahedral pyramids.
First, draw a square on paper and build a regular triangle on its side. To simplify this, you should consider that such a triangle has each angle of sixty degrees. Set aside these two corners with a protractor, counting from the side of the square. Extend the rays to the intersection - you get the third angle. After that, repeat the same steps with each side of the square.
Thus, you will get a pyramid blank, which, subsequently, will need to be glued. To do this, you need to make "allowances" on each free side of the triangles. Cut out the blank, bend all the lines and glue the pyramid. Make another one of the same kind. During gluing, make sure that everything matches as it should, otherwise the figure will not come out beautiful.
When the two pyramids are ready, you will need to glue them together. Spread the place of contact with PVA glue (the bottom of the pyramids) and wait until everything dries. The octahedron is ready.

In addition to using paper for such purposes, you can use wire as the main material. True, for this you will need additional tools, because working with wire is much more difficult than with paper. First of all, you may need metal scissors and wire cutters to cut the material.

You can make an octahedron out of wire according to the same principle as out of paper - make a rigid square base and attach the remaining triangle parts to it.

When choosing a material, it is worth choosing one that can be soldered - this will simplify the connection of all parts. When working with wire, try to be extremely careful - you can inadvertently hurt yourself. The same applies to the use of a soldering iron - remember the safety precautions for using electrical appliances.

How to make an octahedron out of paper step by step instructions. Consider how to make an octahedron out of paper

Instruction

Instruction

Instruction

Instruction

Instruction

Prepare materials

Sketch is a faithful assistant

All with your own hands

Stereometry lessons

The intricate mysteries of geometry

How to make the correct dodecahedron with your own hands

Materials:

How to make a stellated dodecahedron

Making an octahedron out of paper

Instruction

Instruction

Instruction

Instruction

Instruction

Preparing the Components

Where to begin?

Making your own template

Second way

How to do?