Figures how to make them. How to make a pyramid out of paper. Diagram with dimensions, step-by-step instructions with photos. What types of origami are there?

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Liliya Degtyareva

Glue previously prepared empty match boxes together using glue, 5 pieces each. If you plan to fill pencil cases with a large amount geometric shapes, add the required number of matchboxes.

These are the future pencil cases we got:

From a double album sheet, cut transversely into strips approximately 5 cm wide. You should get 7-8 of them.

Lubricate the strip with glue and wrap each pencil case on both sides, carefully gluing it. Make sure that no creases form at the corners.

Cut out multi-colored ones from bright colored paper geometric shapes - square, circle, triangle, rectangle, oval. For each pencil case figures it is advisable to take different color.

Paste the finished ones figures for each pencil case, observing the sequence of arrangement. This is how pencil cases are marked.

Each of the pencil cases can be wrapped with thick tape. This will give them additional strength and aesthetics. Now you need to fill the pencil cases with contents. To do this, cut out of multi-colored cardboard geometric figures, suitable in size, i.e. so that they can fit in Matchbox. Color figures must correspond to the markings on the pencil case.

The proposed manual can be used both in classes and in individual work, as a didactic aid in games with children of different ages

Publications on the topic:

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For work we will need: -cardboard box(from sweets or perfume set); -PVA glue; -scissors; - a simple pencil; -ruler;.

Nowadays, probably, everything is made from paper. The huge demand for this product is due to its wide popularity and wide scope of application. Today we will talk about volumetric figures from paper with your own hands. For some people, this hobby develops into profitable profession, because about their exhibits one can only say that this is a real work of art.

Using the modular origami technique, three-dimensional paper figures are assembled from large quantity identical parts (modules). Each module is folded according to the rules of classic origami from one sheet of paper, and then the modules are connected by inserting them into each other. At the same time, the friction force prevents the structure from falling apart. Using the modular origami technique, boxes, flat and three-dimensional stars, and spherical objects are often made, which in Russia received the inaccurate name kusudama, since kusudama initially involved sewing modules together into a ball.

Wet origami - closer to reality

There is another type of popular origami - wet folding. To give smooth lines, the paper is slightly moistened with a sponge or spray bottle. Most often used to create animal figurines. Wet paper is more pliable and holds its shape better after drying. The peculiarity is that by wetting the structure again, you can give it a different shape without tearing the paper.

Kirigami - volumes from the plane

In the kirigami technique, you can use scissors and glue. Crafts using the kirigami technique are somewhat reminiscent of children's panorama books. This technique is also often compared to ‘pop-up’ cards. Unlike traditional pop-up cards, these paper designs are typically cut and folded from a single sheet of paper. Most often, three-dimensional reproductions of architecture, geometric patterns and various everyday objects, etc. are developed.

Kusudama - round shapes

The kusudama technique has the same principle as modular origami. The main difference is that the figures have a spherical shape, and the parts for connection can not only be nested one into the other, but also glued or sewn.

Cubecraft - a square bun with many faces

This is a modern technique for making paper crafts. In this technique, all the figures are folded according to the same pattern. The point is that you can make figurines of various famous characters from movies, comics, cartoons, as well as real personalities: politicians, musicians, actors, etc. Such figurines are placed on the table as a reminder or simply to please the eye.

Papier-mâché - remembering childhood

The name of the papier-mâché technique is translated from French as “chewed paper.” But you will be surprised to learn that the birthplace of this technology is China. The technique involves gluing pieces of paper soaked in paste in multiple layers. Then the paper figures are primed and painted. You can make anything you want from papier-mâché (vases, toys, mugs), but most often they make masks.

Decoupage - decorate old things

Decoupage in translation means “cutting”. Most often, the decoupage technique is used for old furniture - some dragons or birds, plants or animals are cut out. This gives new shine old things. It is also used in the creation of exclusive interior items, in the design of clothing and in the manufacture of fashion accessories.

Trimming - quilling in a new way

Using the trimming technique it is possible to make beautiful cards or even paintings. Quilling uses long strips that are wound onto a thin stick. Small squares are also cut here. Then, a stick is applied to the center of the square, and this square is screwed onto it. The resulting part is glued to the base. Sometimes it turns out unusual and very voluminous.

Paper art - metal imitation

This technique was invented in 2006 and is based on imitation metal and wood from paper napkins. The technique imitates wood carving or metal chasing. Coloring and patination gives natural textures. Strips of napkins soaked in water are twisted into threads, then a pattern is laid out from them and secured with glue. After drying, all that remains is to paint and give it a natural look.

Iris folding - “rainbow folding”

To make a craft using this technique, you need to cut several strips of paper of different colors and lay them in a spiral or in another fancy way. It all looks like a multifaceted figure. Layering translucent papers on top of each other gives interesting effects when decorating.

Pergamano - painstaking work

Patterns and decorations using this technique are made either parchment paper using perforation and embossing. Most often, the parchment technique is used in making cards and invitations.

Katagami - you need a sharp knife

Some more Japanese paper art. Katagami is the art of cutting out entire pictures from rice paper using a special sharp knife and a stencil or along a drawn line. Most often used for paintings.

A collage is an image made up of various pieces of paper (wallpaper, newspapers, magazines, photographs, etc.) that differ in color and texture. Previously, they cut out pictures from magazines, newspapers, books and decorated things with them (remember your grandmother’s suitcase or dressing table). Now this ancient technique has again become fashionable and widespread in various countries when decorating handbags, hats, trays, Christmas tree decorations, sundials, boxes, dishes, packaging, etc.

Paper modeling - paper turns...

Of particular interest, deserves paper modeling. You can create almost any three-dimensional figure from paper with your own hands. Starting from military equipment, architectural monuments and ending various types animals, both well-known and fictional. Of course, ideally you need to be able to do everything (drawings, parts, etc.) with your own hands, but first you can use the Internet. Through the search, you can find a lot of drawings and layouts that can be printed, cut and glued. There are even special sites that store drawings of paper models: airplanes, cars, movie and cartoon characters.

All of the listed paper craft techniques have their own nuances, advantages and disadvantages. But most importantly, when choosing what type of paper art to do, I advise you to be guided solely by your own heart. In order to make a mesmerizing figurine, you must truly love this business.

This is painstaking work that requires care and patience, and only with a strong desire can everything be done as it should be. Your reward may be the admiring glances of your friends and praise addressed to you.

Paper products They look very nice if everything is cut out evenly and assembled. The main thing is that creating such figures does not require special skills. Enough attentively connect everything. With a little practice, you will be able to do everything much faster and smoother.

An example of how unusual paper figures can be can be seen in the video below. I advise everyone to watch it, because it is truly unusual and a masterpiece.

To make three-dimensional geometric shapes, the main thing is to have templates that can be cut out and then glued.

Can be made from white or colored paper. You can cut it out of paper with any designs or numbers.

I propose to make an unusual three-dimensional figure using the origami technique. Watch the video:

So that children can better remember what geometric shapes there are and know what they are called, you can make them out of thick paper or cardboard volumetric geometric shapes. By the way, you can use them to make beautiful gift wrapping.

You will need:

thick paper or cardboard (preferably colored);
ruler;
pencil;
scissors;
glue (preferably PVA).

The most difficult thing is to develop and draw layouts; you need at least basic knowledge drawing. You can take ready-made designs and print them on a printer.

To keep the fold line straight and sharp, you can use a blunt needle and a metal ruler. When drawing a line, the needle must be bent strongly in the direction of movement, almost laying it on its side.

This is a development of a trihedral pyramid

This is a cube scan

This is the development of an octahedron (tetrahedral pyramid)

This is the development of a dodecahedron

This is the development of an icosahedron

Here you can find templates for more complex figures (Platonic Solids, Archimedean Solids, polyhedra, polyhedra, different types of pyramids and prisms, simple and oblique paper models).

Volumetric geometric shapes are the best way baby's exploration of the world around him. An excellent educational material/excellent teaching aid for studying geometric shapes is precisely three-dimensional shapes. This way, geometric shapes are better remembered.

The best material for making such three-dimensional figures is thick paper (can be colored) or cardboard.

For production, in addition to paper, you will also need a pencil with a ruler, as well as scissors and glue (cut and glue the developments).

You need to draw the scans in a similar way and cut them out:

After which they need to be glued edge to edge.

You should get the following type of volumetric geometric shapes:

Here are several schemes by which you can make three-dimensional geometric shapes.

The simplest one is tetrahedron.

It will be a little more difficult to make octahedron.

But this three-dimensional figure - dodecahedron.

Another one - icosahedron.

More details about making three-dimensional figures can be found here.

This is what three-dimensional figures look like not assembled:

And this is what the finished ones look like:

You can make a lot out of three-dimensional geometric shapes original crafts, including gift packaging.

Before you start making three-dimensional geometric shapes, you need to imagine (or know what it looks like) the figure in 3D dimension: how many faces does this or that figure have.

First you need to correctly draw a figure on paper along the edges that must be connected to each other. Each shape has edges that have a specific shape: square, triangle, rectangle, rhombus, hexagon, circle, etc.

It is very important that the length of the edges of the figure that will be connected to each other are the same length, so that no problems arise during the connection. If the figure consists of identical faces, I would suggest making a template while drawing and using this template. You can also download ready-made templates from the Internet, print them, bend them along the lines and connect (glue) them together.

Cone Pattern:

Pyramid template:

You will need to make three-dimensional geometric shapes both in school classes and for studying shapes with kids. This process can be turned into a game by making dense three-dimensional geometric shapes out of cardboard.

To make the figures we will need a pencil, ruler, colored cardboard, glue.

You can print out diagrams from the Internet, then apply them to thick paper, not forgetting about the fold lines that will be glued together.

You can use the following schemes:

But they are already in finished form.

This way you can spend time with your baby having fun and usefully studying geometric shapes.

By making three-dimensional figures from paper yourself, you can not only use them for entertainment, but also for learning.

For example, you can clearly show your child what a particular figure looks like and let him hold it in his hands.

Or you can print out diagrams with special symbols for training purposes.

So I suggest you familiarize yourself with this topic below dodecahedron, both simple and with small drawings, which will only attract the baby’s attention and make learning more fun and entertaining.

Also the diagram Cuba Can be used to teach numbers.

Scheme pyramids can help you understand the formulas that apply to a given figure.

In addition, I suggest that you familiarize yourself with the diagram octahedron.

Scheme tetrahedron Among other things, it will help you learn colors.

As you understand, the above templates must be printed, cut out, bent along the lines, and glued along special narrow strips adjacent to selected sides.

Three-dimensional geometric figures are simply necessary when teaching: they provide students with the opportunity to hold them in their hands and examine them, which is an important part of the educational process; they are simply necessary as a tool for studying the famous Euler theorem - clearly demonstrating that even with deformations and curvatures, the number of faces of a polyhedron , and therefore Euler’s relation, will remain unchanged:

In addition, solid figures can be an excellent tool to help explain to students how to find the surface area of a polyhedron.

So, using the templates below you can easily make the following shapes:

Triangular Prism

N-gonal prism

Tetrahedron

Everyone should learn how to make geometric shapes from paper! After all, you never know what knowledge may be useful to you in life. Recently, the origami technique has been gaining wide popularity among children and adults. But before you make a variety of crafts (animals, birds, plants, small houses), you need to start with simple geometric shapes. Such products are suitable for schoolchildren for a good visual presentation different figures.

Making a cube

So, for today's master class we will need paper, diagrams, glue, scissors, rulers and a little patience.

A cube is the simplest shape for origami, a simple polyhedron in which each face is a square. The diagram for creating a scan can be printed on a printer, or drawn by yourself. To do this, select the dimensions of the edges. The width of a sheet of paper should be at least 3 sides of one square, and the length should not be more than 5 sides. Draw four squares along the length of the sheet, which will become the sides of the cube. Draw strictly on one line, close to each other. Draw one square above and below one square. Add gluing strips that will connect the edges to each other. Our cube is almost ready!

Next, spread a thin layer of glue evenly over the joints. Glue these surfaces together and secure them for a while with a paper clip. The glue will set in about 30-40 minutes. In this way, glue all the edges together.

More complicated craft

The cone is made a little more complicated. To begin, draw a circle with a compass. Cut a sector (part of a circle bounded by a circular arc and two radii) from this circle. The sharpness of the end of the cone depends on the cut out part of the large sector.

Glue the side surface of the cone. Next, measure the diameter of the base of the cone. Using a compass, draw a circle on a piece of paper. Then draw triangles to glue the base to the side surface. Cut out. Then glue the base to the side surface. The craft is ready!

Complex parallelepiped

A parallelepiped is a complex polyhedron figure with 6 faces and each of them is a parallelogram.

To make a parallelepiped using the origami technique, you need to draw a base - a parallelogram of any size. On each side, draw the sides - also parallelograms. Next, from any of the sides, draw a second base. Add places for gluing. A parallelepiped can be rectangular if all sides have right angles. Then cut out the development and glue it together. Ready!

Origami pyramid

It's time to make a paper pyramid. This is a polyhedron whose base is a polygon and the other faces are triangles with a common vertex.

First you need to select the dimensions of the pyramid and the number of faces. Next, draw a polyhedron - it will be the base. Depending on the number of faces, it can also be a triangle, square, pentagon.

From one of the sides of our polyhedron, draw a triangle, which will be the side. Then draw another triangle so that one of its sides is common with the first triangle. Draw as many of them as there are sides in the pyramid. Next, add strips for gluing in the required places. Cut and glue the shape. The pyramid is ready!

Paper cylinder

A cylinder is a geometric figure bounded by a cylindrical surface and two parallel planes that intersect it.

Draw a rectangle on paper in which the width is the height of the cylinder and the length is the diameter. Geometry lovers know that the ratio of the length of a rectangle to its diameter is determined by the formula: L=nD, where L is the length of the rectangle, and D is the diameter of the cylinder. Using this calculation, find out the length of the rectangle that we will draw on paper. Draw small triangles to glue the parts together.

Then draw two circles on paper, the diameter of a cylinder. These will be the top and bottom bases of the cylinder. Next, cut out all the details. Glue the side surface of the cylinder from a rectangle. Let the part dry and glue the bottom base to it. Wait until it dries again and glue top base. Ready!

Video on the topic of the article

Origami opens up incredible possibilities for imagination and creativity. Craftsmen learned to make a wide variety of crafts from paper. These are different animals, birds and even plants. But today we will take a closer look at how to make geometric shapes quickly and easily from paper.

Such figures will help develop an understanding of three-dimensional figures, as well as a general understanding of them. They are best suited for those who have difficulty with trigonometry, as this branch of geometry requires a very good visual representation of different shapes.

We study step by step the principle of making geometric shapes from paper

Origami in most cases involves folding various shapes from paper. In our case it will be similar, but a little different.

A diagram, or as it is also called a development, is a mandatory element in the manufacture of any geometric figure. The diagram is a two-dimensional image of the “scan” of our figure on paper. Let's imagine a cube. And we deployed it, what happened in the end? A column of four identical squares and two identical squares on the side. A kind of letter "T".

After you have made or found a development, you need to fold it into a shape and very carefully glue all the elements.

Without development, it is impossible to make a single correct geometric figure that would be as smooth as possible and would not contain errors. You can find a huge amount on the Internet various schemes, for a wide variety of shapes. We will consider, as an example, the manufacture of a top hat and a hat.

Solid cylinder.

The cylinder is one of the simplest shapes in origami. Even a beginner can handle making it. And so, let's move on to our first creation.

First, we look for or make a diagram ourselves. The cylinder diagram is a rectangle, the length of which is calculated using the formula 2PiR, where R is the radius of your cylinder, that is, if you want to get a cylinder with a diameter of 10 centimeters, then its radius will be equal to five. And then there is the inverse relationship: if you have already drawn a rectangle, for example, 40 centimeters long, then the radius of the circle will accordingly be equal to 40/2Pi. Approximately 6.2 centimeters.

In the diagram, draw a neat line exactly in the center of the rectangle. We continue our line beyond its sides, that is, the line must intersect the rectangle. Next, we must know exactly the diameter of the cylinder in order to calculate the radius of the circle, but if you first drew a rectangle, then use the formula l/2Pi, where l is the length of your rectangle. After you have determined the radius, take a compass and place it at the intersection of our line of symmetry and the side of the rectangle. We begin to figuratively draw a circle and look where the second point of intersection with the line of symmetry will be; it should be outside the rectangle. This point will be the center of the circle. We repeat the steps on the other side. Our craft, for example, was made according to the following scheme:

If you find a diagram on the Internet, then just print it out. And cut it out.

After we cut it out, we need to move on to folding it. We begin to fold our cylinder from its main part. To do this, roll a rectangle into a tube. We fold from both ends at once, that is, we take one end of the rectangle and the other, and pull them towards each other. So that you get a kind of pipe with two circles “open”.

Then we bend both “windows” inward and change the thickness of the tube as necessary so that these windows fit perfectly inside. Then we glue the resulting cylinder.

Paper hat.

The hat is the same cylinder, but its bottom window will be open to the outside. We need cardboard, scissors, plate, glue . Let's begin!

First, cut a sheet of cardboard into two strips, the width of which will be equal to the height of the cylinder.

The length of the stripes will depend on what diameter you want the hat to be. If you want to wear a hat on your head, you should measure the circumference of your head and divide the resulting number by two.

Glue the parts together to form a single long strip.

We roll the strip into a cylinder and fasten it.

We choose, according to your taste, one of the round sides and make even cuts on it, the depth of which is equal to two centimeters. We bend the resulting petals and put the cylinder aside.

We take another small piece of cardboard and trace the plate we prepared earlier. Place your cylinder in the center of the resulting circle and circle it. First cut out a large circle from the sheet, and then a small one. In the end we should get a ring.

We place the cylinder on a stable, flat surface with the petals facing down and glue pieces of double-sided tape to each of them.

The hat is ready!