How to make a paper cylinder correctly. How to make a paper cylinder with your own hands

The word cylinder has two meanings. From a mathematical point of view, it is a geometric body, and from a fashion point of view, it is a hat. Step-by-step instructions on how to make a paper cylinder with your own hands will help you make such a hat.

Mathematical meaning

A cylinder is a geometric body in which a cylindrical surface is bounded by two planes intersecting it. It has a side surface and two bases.

Let's try to make such a geometric figure out of paper. First, practice making a cylinder without taking precise measurements. To make it you will need:

  • Paper;
  • Glue stick;
  • Scissors;
  • Compasses or any round object (plate, bowl);
  • Ruler.

Take a sheet of A4 paper and bend the long sides by 2-2.5 cm.

On one side, measure 22 mm from the bottom and top and cut. This will be the allowance for gluing the side seam.

Now the long edges need to be cut with scissors into strips of 5-7 mm.

Glue the side seam.

Using a compass, draw 2 circles with a diameter of 90 mm and glue them to the cut sides, having previously coated them with glue.

The paper cylinder is ready.

Such schemes are called sweeps. In essence, they depict a disassembled geometric figure with precise calculations of its parameters. The height of the cylinder is indicated by the letter h. To calculate the long side of the cylinder L, use the formula L=π*d, where d is the diameter of the base of the cylinder.

When working, you need to make allowances for gluing of 5-7 mm.

The story of one hat

Well, we’ve sorted out the geometric figure, now let’s talk about fashion. At the end of the 18th and beginning of the 19th centuries, European hat makers invented an unusual hat - a top hat.

It was a tall (up to 30 cm) hat with a flat top and brim. Due to the high cost of the material from which these hats were made, wearing a top hat was considered a privilege for the upper classes. Initially, beaver felt was used to make hats, which brought the poor animals to the brink of extinction. A little later, chic silk top hats came into fashion.

Commoners also wore hats similar to a top hat, but they were made of felt and felt. When processing these materials, mercury salts were used, which are very harmful to health. Lewis Carroll's story about the mad hatter takes its roots from here - mercury vapor caused dementia in hatters. Perhaps the most famous person to wear such a hat on his head was Abraham Lincoln. And he used the top hat not only as an item of his wardrobe. It was also a repository for secret correspondence. This headdress was also appreciated by magicians. The large size of the crown made it possible to make a double bottom and easily remove the rabbit from such a hat. Now the cylinder serves a decorative function; it can often be found at stylistic parties and weddings, and at magic shows.

Making a magician's hat

Are you planning to make a magician's carnival costume? Then this step-by-step instruction will help you make its main attribute – the cylinder.

Once you learn how to make a cylinder out of paper, you can easily create a carnival hat. To make it you will need:

  • Black cardboard;
  • Scissors;
  • Pencil;
  • Scotch;
  • Glue;
  • Black fleece stripe;
  • Varnish and brush;

The first step is to take measurements. Measure your head circumference using a measuring tape. Consider how tall your hat will be and what size its brim will be. When making a paper cylinder, make the bottom and crown of the hat, and glue the parts together. To make the brim of a hat, you need to attach the resulting cylinder without a bottom to the cardboard and circle it. The next circle needs to be drawn from the same middle, its size relative to the first circle will be the size of the brim of your hat. To make it clearer, take a look at the picture:

Next you need to make the second part of the brim, which will be attached to the crown of the hat. Its size is the same as the first part, but do not rush to cut it. Inside this part you need to draw a circle, the diameter of which will be 1 cm less than the diameter of the base of the cylinder. Cut out the piece and fringe the inner circle.

Cylinder- a geometric figure studied at school. There are many things in this world that are made in a cylindrical shape, and today we will make this figure out of paper. There is nothing complicated about this, so we can do it with children so that they also learn something.

How to make a cylinder with your own hands?

To make a paper cylinder we need:

Scissors

Pencil

Ruler

Compasses (can be replaced with any round thing)

1 . Using a compass, draw 2 circles with a diameter of 88-90 millimeters on a sheet of paper. On the compass you need to set the radius to 44 millimeters. Cut out these circles using scissors.

2. You need to take a sheet of A4 size office paper and bend it on the sides, on the long sides, by 20-25 millimeters.

3 . On one side, on both sides, mark 22 millimeters using a ruler and pencil. Cut these sections along the bend line.

4. Cut the curved edges on both sides with scissors to the bend line into strips 5-10 millimeters wide.

5 . On the side where the squares are cut, apply glue 20 millimeters wide to the paper.

6. Roll the paper into a cylinder and glue the cut strips inside. Be sure to maintain the same gluing width on both sides. To do this, you need to bring the edges of the cut strips close together on both sides of the sheet.

7. Apply glue to the cut strips on one side of the workpiece along the edge and a little closer to the middle. Then glue one paper circle. Align the gluing area. We do the same on the other side.

8. After the glue dries, the paper will become even and smooth, and the cylinder will take on a beautiful shape.

Video. How to make a cylinder out of paper?

You can also make a cylinder out of paper in another way.

1. First of all, on a piece of paper we must draw a model of our cylinder using a pencil, ruler and compass. Vaughn looks like this:

It should be remembered that the size of the cylinder depends on our workpiece. The height of the rectangle will be the height of our cylinder, and the size of the circles will be the size of the bottom and top of the cylinder.

Large selection of developments of simple geometric shapes.

Children's first introduction to paper modeling always begins with simple geometric shapes such as cubes and pyramids. Not many people succeed in gluing a cube together the first time; sometimes it takes several days to make a truly even and flawless cube. More complex figures, a cylinder and a cone, require several times more effort than a simple cube. If you don’t know how to carefully glue geometric shapes, then it’s too early for you to take on complex models. Do it yourself and teach your children how to do these “basics” of modeling using ready-made patterns.

To begin with, I, of course, suggest learning how to glue a regular cube. Developments are made for two cubes, large and small. A small cube is a more complex figure because it is more difficult to glue than a large one.

So, let's begin! Download the developments of all the figures on five sheets and print them on thick paper. Before printing and gluing geometric shapes, be sure to read the article about how to choose paper and how to cut, bend and glue paper correctly.

For better quality printing, I advise you to use the AutoCAD program, and I give you scans for this program and also read, how to print from autocad. Cut out the development of the cubes from the first sheet; be sure to draw a compass needle under the iron ruler along the fold lines so that the paper bends well. Now you can start gluing the cubes.

To save paper and just in case, I made several unfolds of a small cube, you never want to glue more than one cube together or something won’t work out the first time. Another simple figure is a pyramid, its development can be found on the second sheet. The ancient Egyptians built similar pyramids, although not made of paper and not so small in size :)

And this is also a pyramid, but unlike the previous one, it has not four, but three sides.

Development of a trihedral pyramid on the first sheet for printing.

And another funny pyramid of five sides, its development on the 4th sheet in the form of an asterisk in two copies.

A more complex figure is a pentahedron, although a pentahedron is more difficult to draw than to glue.

Development of a pentahedron on the second sheet.

Now we get to complex figures. Now you have to work harder, it’s not easy to glue such shapes together! To begin with, an ordinary cylinder, its development on the second sheet.

And this is a more complex figure compared to a cylinder, because at its base is not a circle, but an oval.

The development of this figure is on the second sheet; two spare parts were made for the oval base.

To accurately assemble the cylinder, its parts need to be glued end-to-end. On one side, the bottom can be glued without problems, just place the pre-glued tube on the table, place a circle on the bottom and fill it with glue from the inside. Make sure that the diameter of the pipe and the round bottom fit tightly together, without gaps, otherwise the glue will leak and everything will stick to the table. It will be more difficult to glue the second circle, so glue auxiliary rectangles inside at a distance of paper thickness from the edge of the pipe. These rectangles will prevent the base from falling inward, now you can easily glue the circle on top.

A cylinder with an oval base can be glued in the same way as a regular cylinder, but it has a smaller height, so it’s easier to insert a paper accordion inside, and put a second base on top and glue it along the edge with glue.

Now a very complex figure - a cone. Its details are on the third sheet, a spare circle for the bottom is on the 4th sheet. The whole difficulty of gluing a cone is in its sharp top, and then it will be very difficult to glue the bottom.

A complex and at the same time simple figure is a ball. The ball consists of 12 pentahedrons, the development of the ball on the 4th sheet. First, two halves of the ball are glued, and then both are glued together.

Quite an interesting figure - a rhombus, its details are on the third sheet.

And now two very similar, but completely different figures, their difference is only in the base.

When you glue these two figures together, you won’t immediately understand what they are, they turned out to be completely unresponsive.

Another interesting figure is a torus, but we have it very simplified, its details are on the 5th sheet.

And finally, the last figure of equilateral triangles, I don’t even know what to call it, but the figure looks like a star. The development of this figure is on the fifth sheet.

That's all for today! I wish you success in this difficult work!

How to make a cylinder out of paper?

This refers to a geometric figure, not a hat model. I needed the cylinder as a sample for a modeling lesson, and I didn’t make it according to specific dimensions, so the main goal was to make a fairly large model very carefully and with high quality. And one more thing - although it is said “from paper”, in fact it is better to make three-dimensional models from thin cardboard. I took the cover from a sketchbook.

Let's get started. This is a pattern drawing for the side of the cylinder.

If you are making a cylinder with students, then you need to draw their attention to the fact that we place the drawing precisely on the edge of the sheet. Children automatically try to immediately start drawing in the center, and, of course, they then don’t have enough paper to fill the bottoms. And also - two narrow strips along the edges of the wide one - these are valves with the help of which the parts are held together. I had no idea that second grade students might not know about the need for these valves - some were just trying to glue them end to end! Or they made paper overlays.

But we will provide valves. But, before cutting out the pattern, we will once again draw the lines either with a sharp pencil or with a pen with some pressure - then it will be easy to bend along these lines and the fold itself will be of high quality, clear.

We often cut the bent flaps on both sides. We roll the part into a pipe. Do not glue it right away, first roll it up several times and release it - then the cardboard will acquire some bending, get used to it, and the tube will look good.

Now we need a bottom and a tire. During the lesson, I watched how the children solved this problem - the hit of the season was this - to randomly cut out two crooked circles and be surprised that they do not fit the size of the holes:-((.

So, no need to cut out these circles in advance! Let's do it simpler. We take two pieces of cardboard, spread it thickly with glue and apply it to the ends.

Now place a small weight on the upper “platform” and dry it a little. Once you are sure the glue has set, trim off the exposed edges flush with the cylinder body.

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