How to make a cone from sheet A1. How to make a development - a pattern for a cone or truncated cone of given dimensions. Simple sweep calculation

At the heart of the most complex and unusual shapes structures, devices, mechanisms are elementary geometric figures: 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 real 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:

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 ready-made diagram. Or you can draw the development yourself using drawing tools.

Drawing a sweep:

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.
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.
Above and below any of the squares we draw one of the same squares.
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.
The cube is ready!

After drawing, the development is cut out with scissors and glued with PVA. The glue is very thin layer spread 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:

Drawing a circle with a compass
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.
Glue the side surface of the cone.
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.
Glue the base to the side surface.
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 intersecting it.

Drawing a sweep:

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.
Draw two circles on paper, the diameter of a cylinder. These will be the top and bottom bases of the cylinder.
We cut out all the details of the future paper cylinder.
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.
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:

We select the dimensions of the parallelepiped and the angles.
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.
We cut out the development and glue it together.
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:

We select the dimensions of the pyramid and the number of its faces.
Draw the base - a polyhedron. Depending on the number of faces, it can be a triangle, square, pentagon or other polyhedron.
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.
Cut out and glue the shape.
The pyramid is ready!

Knowing how to work with paper is important for both children and adults. This is the easiest way not only to develop fine motor skills, but also to awaken the skills of artistic taste. Among the basic required knowledge and skills are, of course, simple geometric shapes.

How to make a cone from cardboard or soft paper, and where to subsequently use it? How not to make a mistake with sizes?

Paper cone: step-by-step instructions

First of all, you need to choose good working material - it depends on the purpose for which you need such a craft. In any case, it must be able to bend and hold a given shape without being damaged. If you take regular soft paper, it should not tear, and the cardboard should not be too hard, otherwise it will be difficult to deform. To check the quality of the material, try twisting the sheet into a tube: if this does not cause you any difficulties and does not lead to rupture, you can work.

In order to make a cone out of cardboard or paper with your own hands, in addition to the main material you will need:

ruler (length depends on the length of the product);
pencil;
compass;
stationery knife or scissors;
glue.

The principle of operation is very simple, the only thing where difficulties sometimes arise is preparing the template. Creating a cardboard pyramid takes no more than a quarter of an hour, excluding the time for drying the glue. If you are in a hurry, you can fix the shape with tape (for options when the cone is the base that is not visible) or with a stapler (for small crafts).

Since the issue of using a cardboard cone as a headdress (relevant for children's costumes) was raised, it is necessary to remember how to make the necessary calculations. Of course, if you have the required height of the product, which cannot be changed, you will simply have to set aside the length of the head circumference along an arc and cut out the resulting part. However, if you just need to prepare a sharp cone (when the angle of the template is 60 degrees), you will need to make calculations. Formula from school curriculum- the length of the arc of a circle with an angle of 60 degrees is equal to the product of the radius by 3.14, which is divided by 3. For an angle of 45 degrees, the product must be divided by 4.

For holiday decor perfect small decorations in the form of Christmas trees from scrap materials. The main advantage of such jewelry is its ease of manufacture. One such material is paper. Paper Christmas trees in the form of cones fit perfectly into the New Year's atmosphere, charging those around with joy and fun. Let them have the same base - cardboard or paper cone, but what freedom for imagination opens up during assembly! We will tell and show you how to make a paper cone out of cardboard to create a Christmas tree with your own hands in our article.

If you decide to add several of these crafts to your New Year's interior, then you will probably want to know how to make them yourself. The first thing you need to figure out is the basic question: how to make a cardboard cone for a cardboard Christmas tree?

How to make a cone out of cardboard for a Christmas tree: two ways to roll the product

This method is familiar to many. A sheet of cardboard is rolled up like a paper bag, and the unnecessary corner is cut off with scissors. Then the cone is glued together, the lower edge is trimmed so that the figure stands straight, without falling over. The sequence of actions is shown in the figure.

The other option is a little more complicated. An even circle is drawn on a piece of paper using a compass or by eye. You can circle a round object, for example, the bottom of a plate. Then the circle is divided into quarters. One of them is cut out, as shown in the diagram, after which a cone is rolled up from the remains and secured with glue.

If your cone is wider than needed, it's easy to fix. The sharper you want to make it, the more of it you need to remove from the circle. The minimum is one quarter, the maximum is three. You can cut off not a whole quarter, but one and a half, for example.

What to do if the cone does not want to stick together? Regular clothespins will help you here. Press them onto the places that need to be glued.

Bottom for a cone.

To make a bottom for a figure, place it on a piece of paper or cardboard and trace the edge with a pencil or pen. Draw another line next to it with an indentation of 1 cm to create a circle with a larger radius. Cut a circle along this line and make cuts along the edge so that they rest against the inner line of the circle. Bend the resulting teeth, apply glue to them, and then insert them inside the cone, gluing the bottom to it.

Now that you know how to make cardboard cones, you can start assembling the crafts themselves. A master class dedicated to making Christmas trees from cardboard and paper.

We make our own three-dimensional Christmas tree for the New Year

Let's start the step-by-step instructions with the base of the craft. Roll the green cardboard into a cone. It is advisable to use green so that the gaps between the parts that will be glued on top are not so noticeable. If you want to do big craft, take an A3 sheet, or glue two A4 sheets together.

To give the workpiece a greater resemblance to an evergreen tree, prepare more needle parts. They can be the most different forms and sizes - how exactly to make them is up to you. The choice of color is also yours, although green is traditionally chosen. If you make the needles white, as if covered with snow or frost, then it is better to make the base white.

Needles in the form of voluminous half-cones are beautiful and quite simple: fold a rectangular piece of cardboard or paper into a trapezoid and cut off its upper side. Fold the wide edge into a triangle and secure with staples or glue.

Sharp triangular needles can be replaced with circles glued to the base behind top edge. Use material different shades Green colour to create a more interesting look.

Glue the needle blanks to the base of the craft, starting from bottom edge cone For beauty, reduce the size of the needles every three rows. If at the very bottom there are parts measuring 6.5 cm, then 6 and 5 cm should be glued higher, respectively. Ready craft sprinkle glitter or chopped tinsel over dabs of clear glue.

Another option.
Prepare cardboard cone- the basis for the next step-by-step assembly lesson. From colored paper, colored on both sides, cut not very long thin strips and wind each of them onto a pencil. This will make them wavy and curly. You can twist the strips with the blade of scissors, carefully moving it from one end of the strip to the other, while pulling out the part. Glue the twisted strips to the cone. It turns out to be a fluffy, airy Christmas tree.
Christmas tree cone made of paper droplets.
Glue teardrop-shaped needles onto the pre-prepared cone-shaped frame. They are made like this: the ends of strips of paper of green or any other color are glued together to form a drop. The lower elements should be slightly larger than the upper ones, as shown in the photo.

Christmas tree in the shape of a cone made of paper strips.

Horizontally glue wide strips of paper with cut fringes onto the cardboard base. The color of the paper, again, can be anything. Cut the strips into small needles, leaving a little space at the edge. When the glue has hardened, run scissors along the needles, bending them upward. A Christmas tree made from corrugated paper.

You will learn more about making cardboard cones from the videos below.

Video on the topic of the article

Paper figures will decorate any holiday, and they are easy to make, because even in childhood school desk this was taught in fine arts classes - you just need to remember how it was done.

Creates the effect of air volume cone

A holiday is approaching - and you need to decorate the premises, be it an office, a sales area, Personal Area. The easiest way is to use paper and paper crafts for these purposes. There is nothing complicated about this, and in just a couple of hours the room will become truly beautiful, original, bright, enchanting.

Handmade paper decorations go well with any purchased holiday decor items. With their help, the room will become not only elegant, but also cozy, comfortable, full of love and the concerns of loved ones. The sheep may remain white, like a snowman, for example, or it can become fantastically bright if you cover it with colored foil. Sometimes there are no products suitable for the holiday on sale at all, so you have to rely only on your imagination, ingenuity, and talent. Perhaps instructions have been found for creating a beautiful figurine. If so, then it's time to act.

The cone is the basis of many paper crafts. Very often this element is used to create volume, a frame, as an independent figure. It seems like making a cone is easy. But sometimes, no matter how hard you try, it doesn’t turn out the way you want. And this may cause concern, although there is nothing to worry about. This will help you do everything step-by-step instruction, simple tips and tricks.

Paper crafts require high precision

What's so difficult about it? This kind of craft is usually done in a fuss using improvised materials. Inaccuracies arise. When there are a lot of them, the product is damaged. We need to organize the process, because the result is more important. How to do it? The correct answer is only with the help of drawing tools. You will need a compass, pencil, ruler, scissors.

Is it worth trying so hard? The fragile craft fully corresponds to its purpose - the beauty created in the turmoil is later easily thrown into the trash can, and there is nothing to regret here. But the holiday must take place, and there must be crafts at it. It's worth trying if you want to do it. Compasses, pencil, ruler, scissors will help with this. It will take no more than half an hour to find them. Even less for work.

Draw a perfect circle on a piece of paper

To work you will need a colored sheet or plain paper A4 format. You can experiment with density, take cardboard, but most often this will complicate the process. Cardboard and thick paper are for professionals. It will be more difficult to hang a cardboard figurine on a string.

A circle of the required diameter is drawn on the sheet - future dragon scales, the basis for a huge paper candy, element of the grandiose paper ball, the body of a three-dimensional creature, and so on.

Choose the right angle for the cone

Each circle must be divided into four parts, draw a coordinate axis on it, and cut out a sector. This allows you to choose the correct bend angle. The larger the sector to be cut, the smaller the base of the cone will be.

One of the four sectors will become a guideline for creating an angle. It must be cut from the outer contour to the very center. It may not be one fourth, but less.

It’s better to first divide all the circles into parts, and only then cut them out, even if there are many circles on one sheet - it will be easier. The pencil is easy to erase with an eraser, the compass marks a point in the center of the circle, but a sheet of paper is more convenient to hold in the process of drawing lines than a circle.

Correct cone formation

Rolling a cone correctly is not easy, more difficult than it seems. I don’t want to draw on a sheet of paper again, but it’s better to carefully mark the level of overlap of the edges with each other. It’s good if you need one cone, but if there are several of them in the planned figure, only marking will help you make the same overlap several times in a row.

The edges of the paper circle with the cut out corner are joined together, carefully overlapping.

Fasten the two parts together

Most often glue is used for these purposes:

PVA glue;
silicate glue;
glue stick.

It must be taken into account that the edges naturally strive to straighten up. The paper cone must be durable, and for this you need to spend a little time on each one, fix it well, hold the edges until the glue dries.

Glue sticks don't always bond well. Sheets of paper must be held together longer, otherwise the craft can be ruined. Often a stapler is used instead of glue. It records with 100% probability. The disadvantage is that the paper clips can be visible, they significantly make the structure heavier, and it is easy to wrinkle the paper when pressing the stapler.

Useful tips

A paper cone is usually made to make a variety of interesting crafts. Making such a cone is quite simple.

In addition to paper you will need:

Compass

Glue, tape or stapler

Scissors.

* If you don't have a compass, you can replace it with a pencil and string. Measure the desired radius on the thread, tie it or simply press the pencil to the thread with your finger. Use the finger of your other hand as the center of the circle. Next, simply draw a circle around the center.

1. Cut out a circle of any diameter.

2. You need to divide the circle into 4 parts. To do this, fold the circle in half horizontally and then also vertically. You have 4 folds.

3. Cut one of the four pieces.

4. Now your workpiece can be rolled into a cone and secured, for example, with tape, a stapler or glue.

How to glue a paper cone

* If you decide to use glue, you can use clothespins to secure the places where the two parts are glued together.

* The cone may turn out to be wide, but it can be adjusted - the sharper you want to make the cone, the larger part you need to cut off from the circle (minimum 1 part, maximum 3 parts). It is not necessary to cut exactly a quarter; you can cut off one and a half pieces (1 quarter and half of the next quarter).

Paper cone. Scheme.

In this diagram you can learn how to make a wide, medium and pointed cone.

How to make a cone out of paper. Bottom of the cone.

1. Place the resulting cone on new leaf paper and circle the bottom.

2. You need to add 1cm to the outer line of the bottom and draw another line (i.e. the radius of this circle will be 1cm larger than the previous one). You need to cut a circle along this line.

3. Make cloves, the top of which will rest against the outer circle (the one with a 1cm larger radius).

4. Bend the teeth upward and coat with glue.

5. Insert the bottom inside the cone and glue it together.

Crafts from paper cones

Decorative Christmas tree

You can make something like this from a regular paper cone beautiful Christmas tree that will decorate your home, room or even office. You can also give it to a friend or loved one.

Using the above instructions, you will make a cone, and then learn how to decorate it.

1. Cover the cone with tape or wrap it in cling film.

2. Prepare thick threads and dip them in PVA glue. You can mix half a glass of glue with half a glass of water.

3. Wind the threads around the cone and leave them to dry.

4. Pull out your paper cone with film through the bottom, leaving only the threads that have frozen in the shape of a cone.

5. Decorate the Christmas tree to your liking. You can use bows, beads, glitter and even small decorative fruits.

Sweet gift

You can make a beautiful one out of an ordinary cone. gift wrapping, and equip her with cookies and sweets. It will be a great gift for any child.

You will need:

Paper cone

Corrugated paper

Glue or double tape

Scissors

Ribbon

Sweets.

1. Cut out a circle for the cone and cut a quarter from it (as shown in the picture).

2. Add double tape or glue to the edges of the cut quarter.

3. Cut a long piece of crepe paper and glue it to your future cone (to the quarter that you cut from the circle). While you are gluing, make small folds for beauty (see picture).