How to make a right triangle from paper. How to make a pyramid out of paper? How to draw a triangle puzzle to your size

Thanks to the art of origami, you can create a pyramid. Moreover, there is quite simple ways make it (for example, by cutting out the corresponding shapes from paper and assembling it), and very complex (for example, from simple sheet paper, doing various manipulations). In general, if we talk about the pyramid, then it is a mysterious figure. They say that it even stores energy. Many pyramidal structures are found on Globe. These are not only the well-known Egyptian pyramids. Such structures exist all over the world (in Mexico, China and other places).

From this article, thanks to descriptions, pictures and videos, you will learn about several ways to make a pyramid out of paper.

First Method

1. Bend the square vertically and straighten it, horizontally and straighten it, diagonally and stretch it. All this is done to outline the lines. Bend all corners towards the center.

2. Raise the side corners to the top. Then straighten the top corner into a square.

3. Fold the side corners of the upper square along the lines and tuck them inward.

4. Bend the upper triangle down and turn the part over to the reverse side.

6. Raise the bottom corners up.

7. Straighten the side corners so that the bottom is straight.

8. Smooth out the bottom of the ribs thoroughly. Use a hole punch to punch a hole at the top of each face of the pyramid. Place a gift inside the pyramid and tighten the ribbon into the holes.

Second way

Use of blanks. You can draw them yourself, or simply download (save) our images, and then print, cut and assemble.




Third way

The pyramid in this case is made from a square sheet of paper through some steps.

Take a square sheet of paper. It is best to use a regular A4 sheet. Fold one of the corners to opposite side and use scissors to cut off the excess or carefully tear it off. This will create a square, which we will use later.

First we fold the square along one diagonal and unfold it, and then along the other and unfold it again. With these actions we outline the necessary lines. Then roll a double triangle out of the square, holding its halves. Then you need to fold the two corners of the base of the figure towards the center. Turn the figure over and do the same operation.

After this, you need to bend the corners to the center again on one side, then turn the figure over and do the same on the other side. Then bend the diamond twice on one side, bend the corner inward and bend it again, similarly on the other. After this, let’s turn the craft over and do similar actions.

Bend the pyramid in the other direction to form a four-pointed star. With both hands, grab different ends and add volume to the figure. First, for some opposite edges, and then for the other. Gradually, the pyramid that we so wanted to assemble will begin to appear from the paper. If you succeeded, congratulations. You have achieved mastery in this and your paper pyramid is ready. Next time it will be easier to do this operation, and you can easily make a whole bunch of pyramids.

Also know that at the final stage you need to be very careful not to accidentally tear the figure. If anything from the description was not entirely clear, watch the video.

Fourth method

You will need to cut out one figure from paper and then connect all the elements to form a pyramid.

For the craft you need to take: a sheet from which the pyramid model is made; small triangle; glue; scissors; marker.

Cut out a square. Let's draw the same one on a piece of paper, circling the previously cut out square with a marker. Fold the previously cut figure in half in different directions so that the folds are visible. Let's expand it and in our drawing we will mark the marks from the folds, which will be located in the centers of the sides. Then place the diagonal of the triangle on each marked side and make a mark again.

Then use lines to connect the drawn triangle and the vertices of the future pyramid. To ensure everything works out accurately, it’s better to use a ruler. Using a marker, then draw a line for gluing the sides. Right and left, but so that everything is the same on all sides.

Carefully cut out the shape along the marked lines. Apply glue (you can use regular PVA glue) to the gluing sides and glue the pyramid. To make the craft more stable, you need to use very thick paper. Here you can also express your imagination and creative nature. The pyramid can be decorated, various symbols can be pasted (for example, symbols of wealth, good luck) and other stickers.

Also watch the video on the 4th method of creating a paper pyramid.

It seems that if you used at least one of the methods and made this figure, then you can be congratulated - you learned how to make it and now you know how to make a pyramid out of paper.

If you are interested in how to make a paper pyramid with ideal shapes and edges, there is a certain diagram with dimensions so that you end up with the correct figure. A paper pyramid can be an original handmade gift or just an interesting craft.

How to make a pyramid out of paper. Step by step instructions

Thanks to the ancient skill of origami, it is possible to recreate almost any figure from paper, including a pyramid. There are several ways to create an ideal figure with clear edges. For those new to this business, there is easy step-by-step advice on how to make a figure out of cardboard. These instructions will be understandable to both adults and children.

Step by step guide how to glue a cardboard pyramid:

  1. On a piece of paper you need to draw one even square and three triangles. Each side of the square should be approximately 15 cm. The width of the triangle should be the same, and the height should be 27 cm.
  2. Using scissors, cut the blanks not along the contour, but with an indentation of 3-4 mm; in the future, this will be necessary when gluing the figure.
  3. Lubricate all parts with glue, let it dry a little and put all the parts into a single structure.
  4. Let the craft dry completely and you can start decorating.

How to decorate a pyramid can be anything you want. For example, you can stick figures on it, wrap it in foil, or paint it with special acrylic paints.

Materials and accessories

How to make a pyramid out of paper, a diagram with dimensions are not the only main components in making a figure.

For ease of performing origami, you should prepare in advance necessary materials and accessories so that they are all at hand at the time of work:

  • For making edges Various materials may be needed. You can use not only cardboard, but also plastic, metal, plywood, glass, or make a wire frame. If the figure is created with any esoteric message, then it is recommended to cover the inside of the paper pyramid with foil. This is necessary so that positive energy accumulates in the figure and does not dissipate. If several small magnets are placed inside the pyramid, the product will have magnetic energy.
  • For crafts It’s worth getting high-quality glue, which you can buy at a stationery store.
  • Sharp scissors will come in handy to cut straight pieces for a future figure.
  • You will also need a ruler, pencil and eraser. just in case.

To make a figure, you don’t need a lot of materials; all the accessories for a pyramid can be found in almost every home.

Defining the parameters

In order for the product to turn out neat and beautiful, it is worth setting clear parameters when making blanks for the future pyramid. You may need a separate sheet of paper for each part. You can download ready-made diagrams, but it’s also easy to draw them yourself.

The main thing to know is that the width of the triangle should be equal to each length of the edge of the square.

You can choose any height of the geometric figure, but the recommended length is to be 10-15 cm longer than the width of the workpiece. It is with this ratio that the figure will look harmonious.

We are building a drawing

To make it easier to learn how to make an ideal pyramid from paper or any other materials, there is a diagram with dimensions. The drawing is the basis for further gluing of components for a future solid figure. There are several types of pyramids, each of them has its own drawing.

But there is one simple way that is suitable for children and beginners in this matter:


Completing the Simulation

The cut out figure needs to be glued along the fold lines. Before connecting the parts into a complete model, you need to apply glue to the folds and leave it to harden a little so that it grips better. After the product is ready, you should leave it for half an hour, so that later during registration it does not accidentally come unglued. The final stage of modeling includes the design of the work.

You can decorate the pyramid with acrylic or shimmering paints and draw shapes on it.

The product can be covered with foil or paper for gifts. Also, for those who believe in the mystical power of the pyramid, it is worth gluing natural stones onto it, which will match the zodiac sign of the person to whom this figure will be presented. In the children's version, the pyramid can be turned into an animal by gluing ears and a tail to it and drawing the features of the face.

Method 2

This pyramid scheme involves the use of a ready-made blank, which can be downloaded and printed on a printer. This option is the simplest, since you don’t have to draw the figures yourself. The main thing is to prepare all the necessary tools and decorate the product in an original way at the decoration stage.

Method 3

There are quite a lot of tips on how to make a paper pyramid, a certain diagram with dimensions is an integral part in performing origami:

  1. Fold the square sheet so that the corners lie opposite to each other, cut off the excess paper with scissors. In this way you can make an even square.
  2. Fold the workpiece along one diagonal, open it and roll it along the other, and unfold it again. This is how the necessary lines are drawn.
  3. Take the halves of a square and roll it into a triangle in two layers. Fold two corners from the base towards the center. Repeat similarly on the second side of the figure.
  4. Bend the corners to the center on one side and on the other.
  5. Unbend the diamond on each side, pointing its corners inward.
  6. The pyramid must be bent so that it turns out to be a star with four sides. Take the figure with both hands at different ends and give it a shape.

Gradually giving the object a shape, a pyramid will begin to appear. It is very important to know that last stage you need to act carefully, trying not to accidentally tear the craft.

Method 4

Necessary tools for crafts:

  • paper sheet,
  • triangle,
  • scissors,
  • pencil,
  • glue,
  • eraser.

Execution:

  1. Cut out a square. Bend the workpiece in half in different directions to form folds.
  2. Place the diagonal of the triangle on each side of the square and make marks along the folds.
  3. Using lines, connect the triangle with the vertices. For accuracy, it is recommended to use a ruler.
  4. Mark the gluing lines of the sides with a pencil.
  5. Cut out the shape and apply glue to the gluing lines.

How to make a pyramid out of cardboard?

You can quickly and easily make a figure out of cardboard with your own hands. You can use any color of paper, but the best colors are gold, beige, light brown.

To make the product look more realistic, you can use a needle to make horizontal and vertical lines on the paper blank.

Thanks to this, the effect of a real mini-pyramid from Giza will be created.

Using the above step-by-step methods, you can create a shape with edges. A cardboard pyramid is made according to the same principle as from plain paper.

But there is a big plus that it can be decorated, for example, with granulated sugar:

  • The product can be covered with completely transparent glue and granulated sugar applied to it. In this way you can create an interesting shining effect.
  • You can also sprinkle the pyramid with sand after coating it with glue. The figure will acquire a realistic effect.

"Golden ratio" in pyramid proportions

The standard of an ideal pyramid is certain correct proportions. The key to creating the correct figure lies in the coefficient and numbers of 7.23. A number that is important in the sciences of mathematics and geometry, these numbers are also important in architecture and even medicine.

A segment of length 7.23 must be multiplied by a factor of 1.618. The resulting number 116.981 should be rounded to 117 cm. This length is the base of the pyramid.

Also for getting larger models given number can be multiplied several times. Thus, the length of our pyramid is 117 mm and the height is 72 mm.

Using the Pythagorean theorem, you can determine the length of the faces of a triangle. The resulting number is 92.769, it needs to be rounded to 93. These data are adjusted to the ideal proportion of the “Golden Ratio”.

How to make a net of a quadrangular pyramid?

To make a quadrangular figure you will need:

  • thick paper or cardboard,
  • simple pencil,
  • ruler,
  • scissors,
  • glue.

Stages:

  1. First you need to make a pattern in which the base will be 8 cm and the height 6.5 cm.
  2. On a sheet of paper you need to draw an even square, mark the middle on each edge.
  3. Draw lines from the middle points perpendicular to a square, 6.5 cm long - there should be 4 of them in total.
  4. From each vertex draw two lines to the corners of the square to form triangles.
  5. Cut out the blank and fold the triangles so that they converge into a single vertex. Glue the figure together.

It’s easy to make a quadrangular figure yourself. Also based on this step by step instructions You can create larger pyramids.

How to unfold a regular pyramid?


To understand how to make a paper pyramid, you need to know the diagram with dimensions.

If you are interested in how to make a pyramid with a paper pattern, there is more than one diagram with dimensions that will help you make the figure correctly. At the time of designing the development, the basis is taken regular triangle. The lateral surface is presented as a flat drawing consisting of faces and a polygon.

To begin with, the natural size of the base is determined and the true size of all edges (can be done using a compass). After the three sides have been found, the base and side face are built. An arbitrary point is taken and an arc is drawn from it equal to the length of the side edges of the workpiece. Four segments are marked on the arc, equal to the base of the pyramid.

All lines are connected, including with an arbitrary point. A square is added to one of the resulting triangles, which is equal to the base of the figure.

Complex shapes: volumetric layouts

Figures of this type are made to gain skills in working with three-dimensional paper products and to teach children the basic basics of geometry. These models can be used to make original gift wrapping. Sometimes it can be difficult to develop the correct development; it is recommended to have at least a little knowledge of drawing.

But There are ready-made stencils that can be printed from a printer. Layouts are used not only for entertainment purposes, but also for educational purposes. You can clearly show your child what a particular figure looks like. Complex models can be: cube, octahedron, dodecahedron, icosahedron and others.

Before you start drawing a figure, you should imagine it in 3D format, how many faces and dimensions it has.

On a sheet of paper you need to draw edges so that they connect correctly with each other. Each shape has its own specific type of edge. The ribs should also be the same length so that no inconsistencies arise when fastening. If the layout has identical sides, then at the time of drawing you can draw a template and draw the rest of the blanks based on it.

3D models are important when teaching children: they give students the opportunity to hold the figures in their hands, look at them and better understand the structure. Also, when studying some theorems (Euler), it is recommended visual aid.

Modeling various polyhedra

To learn how to make more complex models, it is worth starting with the basics, for example, with 3D triangles. Gradually improving your skill in creating simple layouts, you can begin to create complex models. Complex figures require skills and refined dexterity when performing, for example, at the time of unfolding or shaping the figure, you need to act so that it does not accidentally break.

When making a drawing, you should carefully apply markings and be able to draw shapes.

If you have a question about how to make a high-quality paper pyramid, there is a detailed diagram with individual dimensions. You just have to put in a little effort, and then it will be difficult to do beautiful and high-quality work that will please the eye.

Thanks to the above methods, you can easily create various pyramid layouts. It is not difficult to learn how to perform these techniques, the main thing is to follow all the steps gradually and carefully.

Video on how to make a paper pyramid

Find out how to make a paper pyramid in the video:

Scheme for the implementation of a volumetric pyramid:

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An original thing, isn't it? Such a colorful swan will not only decorate your home, but can also be a wonderful gift. Making such a swan is not so much difficult as it takes a long time, because it consists of many elements (modules), and of course completely handmade. See below for a detailed diagram of a modular origami swan.

The Chinese invented this technology; they were the first to create volumetric figures from triangular origami modules. The composition consists of many identical elements (modules). Each module is made up of one sheet of paper, and then the modules are connected by nesting them inside each other.

You can assemble such an origami swan without glue, the friction force will not allow the structure to fall apart, but it will still be more reliable to glue the modules together, i.e. The figure can be used as a toy and not be afraid that it will fall apart.

To make a modular origami swan you need to fold many modules of different colors, their number is indicated below. It would be nice to make such a complex figure together with friends or assistants. You need to take high-quality paper; office colored paper or coated colored paper is suitable. It is better not to use thin paper.

As mentioned above, the basis of all origami is a module; let’s take a detailed look at the technology (scheme) for its manufacture.




The module is made up of a rectangle of colored or white paper. The aspect ratio of the rectangle should be approximately 1:1.5. You can get the desired rectangles by dividing the A4 format into equal parts. If the long and short sides of A4 format are divided into 4 equal parts and cut along the marked lines, you will get rectangles approximately 53x74 mm.


If the long side of A4 format is divided into 8 parts, and the short side into 4 parts, you will get rectangles 37 × 53 mm.


You can also fold modules from half a square using note blocks available in office supplies.

How to fold a triangular origami module

1. Place the rectangle with the back side facing you. Bend in half.

2. Bend and straighten to mark the middle line.


3. Fold the edges towards the middle. (At this stage, you can turn the part upside down towards you and fold the edges towards the middle on the other side. Everyone can find the most convenient way for themselves).


4. Turn the workpiece over.


5. Fold the corners. (Please note: it is better to leave a small gap between the folded corner and the upper triangle).

6. Raise the edges up.


7. Fold the triangle.


The resulting module has two corners and two pockets.

How to connect modules to each other?

Modules folded according to the above diagram can be inserted into each other in various ways and receive voluminous products. Here is one possible connection example:

Assembling a swan figure

1 red

136 pink

90 orange

60 yellow

78 green

39 blue

36 blue

19 purple

If you want to make a snow-white swan with a red beak, then take 458 white rectangles and 1 red one.
Take three pink modules and arrange them this way.

Insert the corners of the first two modules into the two pockets of the third module.

Take two more modules and attach them to the first group in the same way. This is how the first ring is completed. It consists of two rows: an inner row, the modules of which are on the short side, and an outer row, the modules of which are on the long side.

Each row consists of 30 modules. Assemble the ring along the chain, holding it with your hands. Use the last module to close the ends of the chain.


Take 30 orange modules and complete the third row. Please note that the modules are put on in a checkerboard pattern.

Complete the fourth and fifth rows in the same way, also consisting of thirty orange modules.

Now, holding the edges of the workpiece with your fingers, perform a movement as if you want to turn the entire ring inside out. It should look like this. From above it resembles a stadium.

WITH reverse side The stadium will look like this:

Complete the sixth row, consisting of 30 yellow modules. Now you need to put them on from above. Check that the arrangement of the modules is the same as in the previous rows.

From the seventh row, start making wings. Choose the side where the swan's head will be. Choose one pair of corners (from two adjacent modules). This will be the attachment point for the neck. To the left and right of this pair, make a row of 12 yellow modules. Those. the seventh row will be 24 modules and has two spaces.

Continue making wings, decreasing each next row by one module. 8 row: 22 green modules (two times 11), 9 row: 20 green modules, 10 row: 18 green modules.

11th row: 16 blue modules, 12th row: 14 blue modules.

13 row: 12 blue modules, 14 row: 10 blue modules, 15 row: 8 blue modules.

16 row: 6 purple modules, 17 row: 4 purple modules, 18 row: 2 purple modules. The wings are ready. Shape them so that they are convex at the bottom and slightly curved at the top.

Make a ponytail consisting of five rows. In the same way, reduce the modules by one in each row. It will take 12 green and 3 blue modules.

To make the neck, the pieces need to be connected in a different way. Insert two corners of one module into two pockets of another.

Connect 7 purple ones to the red module. Try to immediately give your neck the desired bend. If you don’t want the swan’s beak to be forked, it’s better to glue the corners of the red module in advance.

Next, connect 6 blue, 6 light blue, 6 green and 6 yellow modules. Give your neck the desired shape.

Strengthen the neck on two corners between the wings. If desired, add details - eyes, bow.

Make a stand in the form of two rings, consisting of 36 and 40 modules. Connect the modules in the same way as for the neck.

If desired, the rings can be glued together and the swan can be glued to the stand.

That's it now, our swan origami is ready. As you can see, a paper swan looks very elegant and will delight your eyes for a long time. I think you won't regret the time spent.

The most complex and unusual forms of structures, devices, and mechanisms are based on elementary geometric shapes: cube, prism, pyramid, ball and others. First, learn how to create the most simple figures, and then you can easily master more complex forms.

Many modelers start their journey with paper models. This is due to the availability of the material (finding paper and cardboard is not difficult) and the ease of processing it (no special tools are required).

However, paper also has a number of characteristic features:

  • capricious, fragile material
  • requires high accuracy, attentiveness, and perseverance when working

For these reasons, paper is a material for both beginners and true masters, and models of varying complexity are created from it.

In this article we will study the simplest geometric shapes that can be made from paper.

You will need the following materials:

  • sheet of paper
  • pencil
  • ruler
  • eraser
  • scissors
  • PVA glue or glue stick
  • glue brush, preferably with stiff bristles
  • compass (for some figures)

How to make a cube out of paper?

Cube – regular polyhedron, each face of which is a square

Creating a cube consists of two stages: creating a flat pattern and gluing. figures. To create a diagram, you can use a printer by simply printing out the finished diagram. Or you can draw the development yourself using drawing tools.

Drawing a sweep:

  1. We choose the dimensions of the square - one side of our cube. The piece of paper should be at least 3 sides wide of this square and slightly more than 4 sides long.
  2. We draw four squares along the length of our sheet, which will become the sides of the cube. We draw them strictly on the same line, close to each other.
  3. Above and below any of the squares we draw one of the same squares.
  4. We finish drawing the gluing strips, with the help of which the edges will be connected to each other. Every two edges should be connected by one strip.
  5. The cube is ready!

After drawing, the development is cut out with scissors and glued with PVA. Spread a very thin layer of glue evenly with a brush over the gluing surface. We connect the surfaces and fix them in the desired position for a while, using a paper clip or a small weight. The glue takes about 30-40 minutes to set. You can speed up drying by heating, for example, on a radiator. Afterwards we glue the following edges and fix them in the desired position. And so on. This way you will gradually glue all the faces of the cube. Use small amounts of glue!

How to make a cone out of paper?

A cone is a body obtained by combining all rays emanating from one point (the vertex of the cone) and passing through a flat surface.

Drawing a sweep:

  1. Draw a circle with a compass
  2. We cut out a sector (a part of a circle limited by an arc of a circle and two radii drawn to the ends of this arc) from this circle. The larger the sector you cut, the sharper the end of the cone will be.
  3. Glue the side surface of the cone.
  4. We measure the diameter of the base of the cone. Using a compass, draw a circle on a sheet of paper of the required diameter. We add triangles to glue the base to the side surface. Cut it out.
  5. Glue the base to the side surface.
  6. The cone is ready!

How to make a cylinder out of paper?

A cylinder is a geometric body bounded by a cylindrical surface and two parallel planes, crossing it.

Drawing a sweep:

  1. We draw a rectangle on paper, in which the width is the height of the cylinder, and the length determines the diameter of the future figure. The ratio of the length of the rectangle to the diameter is determined by the expression: L=πD, where L is the length of the rectangle, and D is the diameter of the future cylinder. Substituting the required diameter into the formula, we will find the length of the rectangle that we will draw on paper. We finish drawing small additional triangles that are necessary for gluing the parts.
  2. Draw two circles on paper, the diameter of a cylinder. These will be the top and bottom bases of the cylinder.
  3. We cut out all the details of the future paper cylinder.
  4. Glue the side surface of the cylinder from a rectangle. Let the parts dry. Glue the bottom base. Waiting for it to dry. Glue the top base.
  5. The cylinder is ready!

How to make a parallelepiped from paper?

A parallelepiped is a polyhedron with six faces and each of them is a parallelogram.

Drawing a sweep:

  1. We select the dimensions of the parallelepiped and the angles.
  2. Draw a parallelogram - the base. On each side we draw the sides - parallelograms. From any side we draw the second base. Add strips for gluing. A parallelepiped can be rectangular if the sides are rectangles. If the parallelepiped is not rectangular, then creating a development is a little more difficult. For each parallelogram you need to maintain the required angles.
  3. We cut out the development and glue it together.
  4. The parallelepiped is ready!

How to make a pyramid out of paper?

A pyramid is a polyhedron, the base of which is a polygon, and the remaining faces are triangles having a common vertex.

Drawing a sweep:

  1. We select the dimensions of the pyramid and the number of its faces.
  2. Draw the base - a polyhedron. Depending on the number of faces, it can be a triangle, square, pentagon or other polyhedron.
  3. From one of the sides of the base we draw a triangle, which will be the side. We draw the next triangle so that one side is common with the previous one, and so on. So we draw as many triangles as there are sides in the pyramid. We finish drawing strips for gluing in the right places.
  4. Cut out and glue the shape.
  5. The pyramid is ready!