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Geometric volumetric shapes pattern. How to make a paper cylinder: step-by-step instructions for making a figure and a top hat. Required set for assembly, diagram and unfolding of a polygonal figure

Love Mantula

Hello dear guests!

The holiday is approaching " Prom". I want to invite you to see how to make for boys hat - top hat... This accessory can be used for both stage performance and dancing. Who is interested in spreading my Master Class.

We need: Whatman paper, scissors, glue, compasses, ruler, black paint, brush, white tape.

We start manufacturing with the so-called pattern of our hats.


For a pattern, you need to know the length of the head circumference. Further, according to the formula r = s / 2p (where r is the radius, s is the circumference, n is the number of pi (=3,14) find the radius r1. Radius r2 = r1 + field width hats(I took the width = 4 cm).

The gluing area is highlighted in pink in Figure 2. Height cylinder you can take which one is convenient for you, I took 17 cm. and also 1.5 cm for gluing, for a total of 20 cm.

We glue the cone and bend the upper part inward for gluing, and the lower part outward.

Then we glue the bottom.

We put on the fields on top hats and glue.

It turned out like this hat... It remains only to paint it, you can open it with varnish and put on a white ribbon. I painted hat in classic black and attached a white tape.

Thank you for your attention!

Such volumetric figures can be made in any shape, they can be multi-colored, they can be decorated with beads or lace and make a beautiful inscription. In such an unusual box, you can store jewelry or all sorts of women's little things.

Many fathers and mothers are interested in the question of how to explain this or that question to a child in the most accessible way. When the child grows up, it is time to explain difficult geometric figures- cube, sphere, etc. It is much easier to show these figures to a child. To give the child three-dimensional models of geometric shapes, they need to be made of something.

The most convenient and simple to execute is an origami-style paper craft.

There are many different shapes that people have learned to make out of paper and not necessarily geometric. These can be voluminous hearts that you can use as decorations for Valentine's Day or stars that will complement the decor in the nursery.

Volumetric figures from paper: schemes of geometric shapes

Creating volumetric geometric shapes is not only fun, but also rewarding. The child learns to think spatially, which is very necessary.

The easiest way to make a three-dimensional geometric figure is to print templates and cut along the dotted line, then glue them according to the instructions.

But you can also make such shapes yourself. For this you will need: cardboard, colored or White paper, pencil, ruler, scissors and glue.

How to make a paper cube:

  1. On a sheet, draw 4 identical squares in a row with 4 cm sides in a row.
  2. From the second square, draw up and down along an identical square. You should get a pattern of 6 squares in the form of a cross.
  3. On the protruding squares, draw trapezoidal valves (no more than 0.7 cm wide).
  4. The cut template is a future reference for working with cardboard or other thick paper.
  5. Bend the figure along the drawn lines, smear the small trapezoid valves with glue and connect all sides together.

If desired, each side of the cube can be pasted over with colored paper. And if one side with the valve is not fixed with glue, you get a small box that can be used as a gift wrapping.

Amusing volumetric paper animals: toys for toddlers

Children love to cut, glue, draw - such activities broaden the child's horizons, develop attentiveness and perseverance. Using ready-made schemes on the Internet or in creative magazines, schoolchildren can create different animal figures.

Glue volumetric figures pretty simple:

  1. Having chosen the desired animal, you need to print the diagram.
  2. Cut out the parts according to the template, making a small margin for gluing.
  3. Make folds along the line and glue the figure.

You can make light crafts yourself. Bear, fox, dog, cat, bee - all these animals will be made using the same technology.

Whatever craft you do, you need to let it dry completely. Handling wet glue with your hand can leave dirty prints on the paper.

To create a simple craft, you will need white and green paper, scissors, and glue.

DIY little bunny toy:

  • Two strips 3 cm wide and 10 and 7 cm long;
  • Two semicircles in the form of ears;
  • Two eyes (blanks);
  • Freeform green sheet of paper for the "grass".

Roll the strips and glue the ends together. You should get two wide rings. On a green piece of grass, glue a larger ring - the body of a bunny, glue the head on it. Attach the ears evenly to the back of the head. Draw or glue ready-made eyes, make a mouth - the bunny is ready.

DIY volumetric paintings from toilet paper: master class

Any creative work is inextricably linked with extraordinary thinking. Crafts from improvised means help both the child and the adult to look at these things from a different angle.

Volumetric pictures from toilet paper not very well known in ordinary circles. But where there is a place for creative thinking, there is always something new and interesting.

To create a painting you will need:

  • Toilet paper;
  • PVA glue;
  • Thick cardboard;
  • Gouache;
  • Brushes 2-3 pcs. different sizes;
  • Acrylic varnish;
  • Container for glue;
  • Pencil.

The way of working with paper also depends on its appearance... Before gluing the paper to the cardboard, you need to soak it well.

How to make a three-dimensional painting from toilet paper:

  1. It is better to cover the cardboard with one or more layers of soaked paper. To do this, apply a thin and even layer of PVA glue on the cardboard and then attach a tape of paper. After drying, we have a ready-made basis for the picture.
  2. We will draw a tree.
  3. Collect glue in a bowl, dilute a little with water.
  4. To create a tree trunk, the most convenient way will be to twist the soaked paper into a spiral. Lay it out according to the pattern of the tree trunk and its branches.
  5. To create the leaves of a tree, you can use many small pieces of paper overlapping. Twist small pieces into paper lumps, soak in glue and lay out according to the template. This will give the tree volume and, of course, make the picture clearer due to the difference in textures.

The finished picture can be inserted into a regular wooden frame without glass.

The painting should be painted over on dried paper.

It is better to use gouache for coloring. Regular watercolor paint will not sit on the paper and will show through. For paint, use a high-quality brush that will not disintegrate.

DIY original volumetric paper birds: origami diagrams

With a little practice, you can create complex and interesting volumetric shapes from paper with your own hands. You need to start with the simplest shapes that can be printed on a printer, cut and glued.

The origami technique is not as easy as folding over ready-made template but it is quite interesting. It happens without cutting.

This work with origami involves the use of a square sheet of paper, which must be cut out first.

Do-it-yourself voluminous owl: working with paper

  1. We bend a sheet of paper 40x40 cm diagonally, unbend and bend along the second diagonal.
  2. We turn the sheet with bends upwards and bend it in half "towards ourselves".
  3. Unbend and bend again in half from left to right. We fold the sheet along these folds into a square and put it in front of us in the form of a rhombus.
  4. Bend the bottom edges to the center, forming two triangles. Bend the upper triangle and unbend it back.
  5. Extend the side triangles and open the bottom corner. Turn the craft over and also reveal the bottom corner.
  6. We fold the upper half of the upper layer in half "towards ourselves".
  7. Bend the top half of the second layer back in the same way.
  8. Bend the side edges of the top layer, forming 2 triangles. Bend the bottom layer back in the same way.
  9. Roll the right half of the top layer in half to the left. Turn over, repeat the action.
  10. At the same time, we unfold the left half to the right and pull the lower part up - we get a wing.
  11. We bend the left half to the right - onto the wing, and move the back half to the front. We make the second wing identical to the first.
  12. Bend the top corner down to form the head. We turn the product over.
  13. We cut the corners on the sides, raise the formed triangles up. We turn over.
  14. In the lower corner we make an incision, from the upper layer we bend the triangles to the side - the legs of an owl. Your bird is ready!

Owl will turn out white, you can decorate it. For drawing, take watercolors, gouache or a regular felt-tip pen.

Volumetric paper applique: patterns and pictures from wads of paper

It is also interesting to be creative with small children. For kids, this type of needlework is very popular, such as creating paintings from lumps of colored paper. This work is quite easy, but painstaking at the same time, because you have to work with small pieces of paper.

Working with paper balls we develop the motor skills of the fingers, which determines the development of the baby's speech and his further mental development.

For work we need - colored cardboard, thin colored paper (ideally napkins), glue, pencil.

When working, it is important not to forget about the alternation of colors, because the picture should be bright and colorful.

Before you start creating a picture, you need to draw on a piece of cardboard simple figurines toys. It can be a doll, a car, a butterfly, or a whole house.

To make a picture out of lumps, you need to cut a napkin into many small squares. Crumple each piece with your hands, dip in glue and apply to the picture, forming a three-dimensional picture.

Simple voluminous paper crafts for children: how to surprise a child

Cold winter evenings will help while away creative work with your children. Every kid wants to have toy furniture that can be built from plain paper and cardboard.

Armed with good mood, you need to connect your imagination. Take a couple of sheets of cardboard, scissors, glue, plastic bottle, paint and lace tape - with the help of these simple things you can create a beautiful table for a doll.

Diy doll table:

  1. Prepare materials. Cut off part of the bottle from the neck of 12-15 centimeters. Cut 2 ovals out of cardboard - the future shape of the table.
  2. Stick 1 oval on the neck of the bottle. Paint the bottle in any color, wait until it dries.
  3. Glue the openwork on the rim of the oval and glue the 2nd oval on top.

The finished table can be decorated with beads and flowers and used as a decoration.

In addition to the table, you can make a whole set of furniture - chairs, bed, armchair. If you can't draw the details by hand, you can find ready-made diagrams on the Internet. It is very easy to cut various volumetric crafts on them.

Master class: voluminous paper crafts (video)

Looking at these crafts, it's hard to believe that everything can be done with your own hands from the simplest paper material. Kids can make light applications, and older children will be interested in voluminous crafts that will become good gift for any occasion. The main thing in this work is accuracy and perseverance, only then all the crafts will turn out to be beautiful and interesting.

Quite often, many of us have to deal with paper, making all kinds of crafts from it. Children are the main initiators of this exciting activity. This is not surprising: paper is a very grateful and malleable material, it is easy to work with it.

Let's see how to make a cylinder. In the future, this may be useful to us if we suddenly need to make a hat-cylinder or any other craft that has a cylindrical shape. We will not find anything like this in stores. All that remains is to rely only on your head and hands.

There is nothing complicated here. For this work we need some materials and tools. They are in any home. These are paper, pencil, compasses, ruler, scissors, triangle and paper glue. All this is already laid out on the table.

The cylinder consists of two identical bases and a surface called lateral. The base is two symmetrical circles, we cut them out first. Before making a cylinder, you need to decide on its diameter. Dividing it by two, we get the radius, the numerical value of which is set on the compass, using a ruler for this.

Cut out the first circle with scissors. In the same way, mark and cut out the second circle.

Before making a cylinder out of paper, you need to determine its height, it will also be one of the sides of the rectangle. From this rectangle we will make the side surface of the cylinder.

To the size of the height of the cylinder, add 10 millimeters on both sides, and draw lines. This is the allowance for gluing the bases.

Cut out triangles at the allowance. Their height will be equal to ten millimeters. To determine the parameters of the second side of the rectangle, multiply the base diameter by 3.14. This will be (DO), which is calculated by the formula

l - DO; d - DO diameter; r - radius of DO; π - mathematical constant ≈ 3.14.

We chose the numerical value of the diameter earlier and we know it. Substituting these values ​​into the formula, we get the size of the second side of the rectangle. Add another 10 mm to it and draw a line with a pencil. This strip is the gluing allowance. We smear the allowance with glue, fold the rectangle into a pipe and glue it along the mark. Let the glue dry. We bend the teeth of the pipe inward, grease their outer part with glue and glue the bases to them.

That's all. We not only answered the question of how to make a cylinder, but also made it out of paper.

Holding it in your hands, it is easy to realize how to make a cylinder out of cardboard. The algorithm of actions will not differ from the one described above.

Difficulty will only cause the stiffness of the cardboard. More effort will have to be made when cutting out parts and bending the gluing allowances. If necessary, a cylinder made of paper or cardboard can be painted with paint the desired color or varnish.

Craftsmen say that paper crafts must be created only in a good mood, because "paper" creations keep a particle of the human soul and give its energy to the addressee.

Here we have prepared for you three-dimensional geometric shapes from paper that you need to cut and glue. Also on this page you will find flat cut shapes from which you need to fold the lock. This educational material will help the child to visually study three-dimensional geometric shapes: a cube, a pyramid, a rhombus, a hexagon, a cylinder and a cone. The task develops visual-figurative thinking.

Volumetric geometric shapes from paper - Cut and glue:

Here you can download volumetric geometric shapes from paper in the form of reamers, which must be printed on a printer, cut and glued in the indicated places. As a result, you will get volumetric figures: a cube, a pyramid (three-sided and four-sided), a rhombus, a hexagon, a cone and a cylinder. Each sweep contains the name of the figure, so that the child can always see during work what figure he is making. This is very convenient for learning, as children usually do not like it when adults repeat the same thing several times. And in this case, the parents do not need to pronounce the names of the figures aloud.

  • So, in the first sheet, we laid out the following geometric shapes: a cube (a figure whose surface consists of 6 squares), a trihedral pyramid (base of a pyramid and 3 faces), a tetrahedral pyramid (base and 4 faces), a rhombus (a figure visually consisting of two pyramids having a common base).
  • In the second sheet, you will find sweeps of such geometric shapes made of paper: a hexagon (a figure consisting of six faces), a cylinder (consisting of a folded rectangle and two base circles) and a cone.

Download geometric shapes made of paper - you can cut out sweeps in the attachments at the bottom of the page

Sheet 1

Sheet 2

Download and print 2 sheets of shapes, cut them out neatly with scissors and glue them in the right places. Note that the paper shapes have additional fold and glue areas (we have them highlighted in orange). You need to bend all the orange places and glue them with glue on the inside of the figure.

After the children, with the help of adults, glue all the geometric shapes out of paper, you can continue the lesson by asking the children questions. For example: "Show me a pyramid. How many sides does it have? Where is its base? How is this pyramid (showing three-sided) different from this (four-sided)? Show me a cylinder. What objects does it remind you of? Show a cone. What does it look like? Show a cube? . How many sides does it have? What geometric shape does it have? " - etc.

Various teaching materials can be used in the lesson, depending on the age of the child. For example, what is a pyramid:

What are the pyramids. (Let the child show the ones that he glued together)

What is a cube:

What is a cone and a cylinder. What they look like:

You can also download these tutorials as attachments.

Flat geometric shapes from paper - Building a castle

In this exercise, you can download flat geometric shapes from paper and build a castle from them, that is, lay them out on the table in such a way that you get the given silhouette of the castle. To get started, download the form with the task in the attachments and print it on the printer. Then cut out the geometric shapes (square, trapezoid, semicircle and triangle) that are given for this task. All cards with tasks are given with an increase in the level of difficulty (from 1 to 6 tasks).

All cards with locks can be printed on plain office white paper. Geometric shapes need to be printed on colored cardboard. If there is no colored cardboard, you can use it for printing colored paper and then stick the paper onto a piece of cardboard and cut out the shapes.

Then explain the instructions for the exercise to your child in detail.

"Before constructing a building, builders first look at its drawing or diagram, which shows how it should be. Such drawings are different. Here, for example, one of them", - an adult shows one or two play schemes of a castle with our assignment. - "You need to mentally imagine what parts each castle consists of, guided by those figures that can be used for construction." - an adult shows all geometric shapes that are pre-cut from colored cardboard.

It is very important to start the lesson without using prompts, that is, you need to close the geometric shapes that are drawn next to the silhouette of each castle from the child. Let the child think for himself what figures and what size he will need to build this castle. And only if he is experiencing difficulties, you can open a hint for him.

Also, it is not necessary to allow the child to superimpose cut-out geometric shapes from paper on the silhouette of the castle, since in this case he will not develop visual-figurative thinking. Try to let the child carry out all the main work in the mind, and not by the selection method.

You can download cards with flat geometric shapes for building a castle in the attachments at the bottom of the page.

Card 1

Card 3

Card 4

Card 5

Card 6

Geometric shapes for cutting:

Other materials on the study of geometric shapes will also be useful to you:

Fun and colorful tasks for children "Drawings from Geometric Shapes" are very convenient teaching material for preschool and junior children school age learning and memorizing basic geometric shapes

Here you and your child can explore geometric shapes and their names using fun picture exercises.

The tasks will familiarize the child with the basic shapes of geometry - a circle, an oval, a square, a rectangle and a triangle. Only here is not boring memorization of the names of figures, but a kind of coloring game.

As a rule, one begins to study geometry by drawing flat geometric shapes. The perception of the correct geometric shape is impossible without drawing it out with your own hands on a sheet of paper.

This activity will amuse your young mathematicians. After all, now they will have to find familiar geometric shapes among many pictures.

Superimposing shapes on top of each other is a geometry activity for preschoolers and younger students. The point of the exercise is to solve addition examples. Just this unusual examples... Instead of numbers, you need to add geometric shapes here.

This task is composed in the form of a game in which the child will have to change the properties of geometric shapes: shape, color or size.

Here you can download tasks in pictures, in which the counting of geometric shapes for mathematics classes is presented.

In this task, the child will get acquainted with such a concept as drawings of geometric bodies. Essentially, this activity is a mini-lesson in descriptive geometry.

Children love to color and trace, so these activities will make your counting lessons as effective as possible.

And you can also play math games online from Bibushi the fox:

In this developing online game the child will have to determine what is superfluous among the 4 pictures. In this case, it is necessary to be guided by the signs of geometric shapes.

Rectangle, square, triangle, trapezoid and others are geometric shapes from the exact science section. A pyramid is a polyhedron. The base of this figure is a polygon, and the side faces are triangles with a common vertex, or trapeziums. For a complete presentation and study of any geometric object, models are made. They use a wide variety of materials from which the pyramid is made. The surface of a polyhedral figure, unfolded on a plane, is called its unfolding. The method of converting flat objects into volumetric polyhedrons and certain knowledge from geometry will help to create a layout. It is not easy to make sweeps out of paper or cardboard. You will need the ability to carry out drawings according to the specified dimensions.

Materials and fixtures

Modeling and execution of multifaceted volumetric geometric shapes is an interesting and exciting process. A large number of all kinds of layouts can be made from paper. For work you will need:

  • paper or cardboard;
  • scissors;
  • pencil;
  • ruler;
  • compass;
  • eraser;
  • glue.

Parameter definition

First of all, let's define what the pyramid will be. The unfolding of this figure is the basis for making a volumetric figure. Getting the job done will require utmost precision. If the drawing is incorrect, it will be impossible to assemble the geometric figure. Let's say you need to make a layout with the correct

Any geometric body has certain properties. This figure has a base and its top is projected to its center. The basis is chosen This condition defines the name. The side edges of the pyramid are triangles, the number of which depends on the polyhedron selected for the base. In this case, there will be three of them. It is also important to know the dimensions of all the constituent parts of which the pyramid will be composed. Paper sweeps are made in accordance with all the data of the geometric figure. The parameters of the future model are discussed in advance. The choice of the material used depends on these data.

How is the unfolding of the correct pyramid performed?

The basis of the model is a sheet of paper or cardboard. Work begins with a drawing of the pyramid. The figure is presented in an expanded form. The flat image on paper is in accordance with the pre-selected dimensions and parameters. has a regular polygon base, and its height passes through its center. We make for a start simple model... In this case, it is a triangular pyramid. Determine the size of the selected shape.

To build a flat pattern of a pyramid, the base of which is a regular triangle, in the center of the sheet, using a ruler and a pencil, draw the base of the given dimensions. Next, to each of its sides we draw the side faces of the pyramid - triangles. Now we turn to their construction. The dimensions of the sides of the triangles of the lateral surface are measured with a compass. We put the leg of the compass at the top of the drawn base and make a notch. We repeat the action, moving to the next point of the triangle. The intersection resulting from such actions will define the vertices of the side faces of the pyramid. We connect them to the base. We get the drawing of the pyramid. For gluing the volumetric figure on the sides of the side faces, valves are provided. We finish drawing small trapezoids.

Assembling the layout

Cut out the completed drawing along the contour with scissors. Gently bend the sweep along all the lines. We fill the trapezium valves inside the figure in such a way that its edges close. We grease them with glue. After thirty minutes, the glue will dry. The volumetric figure is ready.

First, let's imagine what a geometric figure looks like, the layout of which will be made. The base of the selected pyramid is a quadrangle. The side ribs are triangles. For work, we use the same materials and devices as in the previous version. We carry out the drawing on paper with a pencil. In the center of the sheet, draw a quadrilateral with the selected parameters.

Divide each side of the base in half. We draw a perpendicular, which will be the height of the triangular face. With a solution of a compass equal to the length of the side face of the pyramid, we make notches on the perpendiculars, setting its leg to the top of the base. We connect both corners of one side of the base to the resulting point on the perpendicular. As a result, we get a square in the center of the drawing, on the edges of which triangles are drawn. To fix the model on the side faces, add auxiliary valves. A stripe of one centimeter wide is enough for secure fastening. The pyramid is ready for assembly.

The final stage of the layout

Cut out the resulting pattern along the contour. Bend the paper along the lines drawn. The collection of the volumetric figure is carried out by gluing. Grease the provided valves with glue and fix the resulting model.

Volumetric layouts of complex shapes

After completing a simple polyhedron model, you can move on to more complex geometric shapes. Unfolding a truncated pyramid is much more difficult to perform. Its bases are similar polyhedra. The side edges are trapezoids. The sequence of work will be the same as that in which a simple pyramid was made. The sweep will be more cumbersome. To complete the drawing, use a pencil, compasses and a ruler.

Building a drawing

The unfolding of the truncated pyramid is performed in several stages. The side face of the truncated pyramid is a trapezoid, and the bases are similar polyhedra. Let's say they are squares. On a sheet of paper, we draw a trapezoid drawing with the specified dimensions. Extend the sides of the resulting figure to the intersection. As a result, we get an isosceles triangle. We measure its side with a compass. On a separate sheet of paper we build which will be the measured distance.

The next stage is the construction of the side edges that the truncated pyramid has. The unfolding is performed inside the drawn circle. The lower base of the trapezoid is measured with a compass. On the circle, mark five points that connect the lines to its center. We get four isosceles triangles. We measure the side of the trapezoid drawn on a separate sheet with a compass. We postpone this distance on each side of the drawn triangles. We connect the resulting points. The side faces of the trapezoid are ready. It remains only to draw the upper and lower bases of the pyramid. In this case, these are similar polyhedra - squares. Draw the squares to the upper and lower bases of the first trapezoid. The drawing shows all the parts that the pyramid has. The reamer is almost ready. It remains only to draw the connecting flaps on the sides of the smaller square and one of the trapezoid faces.

Completion of the simulation

Before gluing the volumetric figure, the drawing is cut out along the contour with scissors. Next, the scan is carefully bent along the drawn lines. We fill the fixing valves inside the model. We grease them with glue and press them to the edges of the pyramid. Let the model dry.

Making different models of polyhedra

Making volumetric models of geometric shapes is an exciting experience. To master it thoroughly, you should start by performing the simplest sweeps. Gradually moving from simple crafts to more complex models, you can start creating the most intricate designs.



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