Volumetric square made of paper. Geometric figures. Cube Creating a cube in a hurry
Print Thanks, great lesson +2
Three-dimensional crafts are always interesting for children. Therefore, it will be great if you study geometric shapes with them with the help of such creative activities, where you can not only have a great time with them, but also clearly show the shapes.
- Stationery glue
- Scissors
- Pencil
- Ruler
- Eraser
- Paper
Step-by-step photo lesson:
We select paper. It is best to take half-cardboard, because it will hold the square shape better than plain paper. Color is also important. You can take either regular white or a bright, rich shade. In addition to paper density and color, sheet format is also important. If you are planning to make a large volumetric square, then take not A4, but A3 or even A2 format.
Now let's move on to the markup. For this we take a pencil and a ruler. We retreat at least 1 cm from the top edge. Next, we count out as many centimeters as one face of the cube will have. Separate with a line and then repeat this procedure two more times. Then on the left side we retreat a short distance. We form a contour along which we will cut and glue the cube.
Cut along the contour. This is how the workpiece should look like in the photo. If you have any inaccuracies, you should redo it. Because in this case, a volumetric square of paper cannot be obtained.
We make inward folds along each line. For accuracy, it is better to use the sharp end of a compass or a utility knife. With the tool, you can lightly draw lines under the ruler and get perfect folds.
Glue the bottom of the cube together.
Then apply office glue to the remaining parts of the square and glue them to the desired sides.
So we got a volumetric square of paper in a matter of minutes. Of course, everything comes with experience and over time you will get more and more accurate and faster.
Video lesson
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Teaching aids and simulators in the Integral online store for 1st grade
Simulator for the textbook Moro M.I. Electronic manual for the textbook Moro M.I.
Geometry and cube
A cube is a figure that we meet not only in geometry and fine arts lessons, but also in our everyday life. Another name for a cube is a regular hexahedron. A cube is a regular polyhedron, each face of which is a square. A cube can be called three-dimensional, three-dimensional or even a 3D square. The cube has 8 vertices, 6 faces, 12 edges. A cube is an amazing geometric figure into which you can hide or fit other figures, for example: octahedron, tetrahedron, icosahedron and others.
Amazing cube figure
The cube or hexahedron is also called the Necker cube, named after the Swiss crystallographer Louis Albert Necker. In 1832, Necker proposed an illusion whereby peering into a cube with edges, one can notice that a small black dot appears either in the foreground or in the background, or in the corner or in the center. She moves from one place to another, as if moving. Another feature of the Necker cube is that its parallel side edges appear to diverge. You can repaint one of the edges a different color, and watch how this colored edge moves in a fantastic way.
Another unusual cube is the cube of the artist Maurits Escher. This is a cube that is impossible.
Another interesting discovery related to the cube was made in 1966 thanks to photographer Charles F. Cochran. He took a photograph that was dubbed the "crazy box." What is “crazy language”? This is a frame of a hexahedron (cube) figure turned inside out. "Crazy Box" is based on incorrect connections made when drawing a figure.
| Necker cube | "Crazy Box" |
The list of the most amazing and strange figures includes: integral cube, expanding cube (can also be called an infinite cube), repeating cubes, cubic snowflake, floating cubes, two-story cube and many, many others. All these figures are fascinating, it is impossible to take your eyes off them. Everyone who sees them wants to understand how they work.
The cube has always been fraught with many mysteries - a surprisingly complex and at the same time surprisingly simple geometric figure that helps to look into the depths of consciousness. Even in ancient times, Plato called it a sacred figure and attributed it to the Earth sign, because it is the most stable figure of all others. The cube is a figure of sacred geometry. Back in the 16th century, the German mathematician and astronomer Johannes Kepler compiled a model of the solar system, into which he inscribed a cube.
Where can you find a cube? Buildings most often have a cubic shape, so you can just look out the window and you will immediately see a cube. The most famous puzzle toy, which every child held in his hands at least once in his life, and some even managed to solve it, is the Rubik's cube. The name speaks for itself. In 1975, Hungarian architect Erné Rubik created a puzzle toy that became popular throughout the world. A Rubik's cube is a cube made of plastic, which in turn consists of 26 cubes. And when the Rubik's Cube is completed, each face is painted one specific color.
Various substances crystallize in the form of a cube, for example table salt, the mineral fluorite and others.
Tools and materials to make a paper cube
To comfortably and conveniently work with paper or cardboard, in our case, cut and glue geometric shapes, you will need the following tools:
- scissors (or a stationery knife with an iron ruler and a hard surface that you don’t mind ruining);
- thick paper or cardboard (white or colored), A4 format;
- glue.
You also need a computer with a printer, preferably a color one, to print out the diagram you like for further gluing of the figure.
Paper crafts - a lifelong passion
Doing something with your hands is always interesting and useful, especially if it turns out beautifully. Simple manual work helps calm the nerves after a hard day at work and develops imagination (especially in children). In China, this type of creativity is known as origami, and has long been successfully helping to treat mentally ill people and children suffering from nervous diseases. Such activities are widely used in labor lessons in schools or in older groups in kindergartens, which allows them to develop perseverance, imagination and fine motor skills, which in turn develops mental activity. Children's magazines often offer diagrams of various animals and figures for adults and children to work together. We offer diagrams of cubes made of paper or cardboard with various options for pictures. Such crafts will be of interest to both kids and schoolchildren; they can be presented as a handmade gift. Adults can also use cubes made according to our designs, for example a calendar cube.
Step-by-step instructions: how to make a cube from cardboard
1. Print the required number of templates, for example, for a calendar cube - you need both options, and for alphabet cubes - print as many as you need to add words.
2. Carefully cut out the outline of the cube. It is more convenient to cut with scissors, but you can also use a stationery knife.
3. Bend the cut out cube template along the lines; the more accurately you bend the cube diagram, the better your product will look.
4. Apply glue to the darkened areas and assemble the entire cube side by side.
| Scan simple cube (edge 5 cm) |
Unfolding a cube with Arabic numerals 1,2,3,4,5,6 (edge - 5 cm) |
Unfolding a cube with Arabic numerals 7,8,9,0,1,2 (edge - 5 cm) |
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| I, X, L, C, V, D (edge - 5 cm) |
Scan of a cube with Roman numerals I, M, V, X, ↁ, ↂ (edge - 5 cm) |
Cube with formulas (edge - 5 cm) |
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| A, B, C, D, E, F (edge 6.5 cm) |
Diagram of a cube with the English alphabet G, H, I, J, K, L (edge 6.5 cm) |
Diagram of a cube with the English alphabet M, N, O, P, R, Q (edge 6.5 cm) |
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| Diagram of a cube with the English alphabet S, T, U, R, V, W (edge 6.5 cm) |
Diagram of a cube with the English alphabet X, Y, Z, A, B, C (6.5 cm edge) |
Diagram of a cube with the Russian alphabet A, B, C, D, D, E (edge 6.5 cm) |
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| Diagram of a cube with the Russian alphabet Zh, Z, I, Y, K, L (face 6.5 cm) | Scheme of a cube with the Russian alphabet M, N, O, P, R, S (face 6.5 cm) | Scheme of a cube with the Russian alphabet U, F, X, C, Ch, T (face 6.5 cm) |
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| Diagram of a cube with the Russian alphabet Sh, E, Ъ, И, ь, Ш (side 6.5 cm) | Scheme of a cube with the Russian alphabet U, Z, A, B, V, D (face 6.5 cm) | Diagram of a cube with continents (face 6.5 cm) |
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And a little more about paper cubes
Now children's stores are overflowing with all sorts of toys, including educational ones. You can find almost everything for any age and budget. But sometimes it can be difficult to find the cubes that are familiar to us from childhood. Cubes are a kind of construction sets that children enjoy playing with.
According to the recommendations of teachers, psychologists and pediatricians, children under 1 year old can already be given cube toys. They perfectly develop not only coordination and imagination, but at the same time they use almost all the muscles of the hands, which perfectly develops the baby’s fine motor skills. Whatever material cubes are made from - plastic, wood, glass, we suggest you make cubes from paper.
Cubes with pictures depicting numbers or letters will be a great help for parents and educators in the process of preparing their child for school. Moreover, playing with a cube will give the child an idea of geometric shapes, in particular the cube, and its properties. If you print other three-dimensional geometric shapes (pyramids, tetrahedron, etc.), this will significantly expand the child’s horizons and help in the learning process at school. Joint activities between adults and children greatly bring together and strengthen the family.
Nowadays, almost every home has a computer and a printer, i.e. your costs are the cost of paper, A4 format. The cube templates provided on this page can be edited, i.e. Having taken a blank scan of the cube, you can safely insert your pictures and print a new version. As pictures you can take drawings or photographs of animals, animals, cars, as well as photographs of celebrities or your relatives, the flight of imagination is limitless. Good luck to you in your creativity and education!
Development and diagram of a cube made of paper
| Multi-colored cube 1 (side 6.5 cm) | Multi-colored cube 2 (side 6.5 cm) | Dice cube (side 5 cm) |
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Grigory Andreev
Let's try folding another one of the 13 basic shapes of simple origami. It's called "double square". A little earlier we folded the basic “double triangle” shape.
Remember that basic shapes are necessary in order to learn how to add more complex shapes based on them.
Why are they called "basic forms"? Because in many figures you have to fold the paper at the very beginning according to the same principle, that is, repeat the same actions. It is these actions that make up the basic form of origami.
Based on the basic “square” shape, you can make simple origami crafts for children:
- volumetric Christmas tree,
- flower,
So, let's learn how to fold the basic "double square" shape.
For work we will need the following materials:
- sheet of colored paper.
How to fold the basic origami double square shape:
1. Cut an even square from a sheet of paper.
2. Fold in half diagonally.
3. Then cut in half again, placing two opposite diagonal corners together.
4. Open the right corner of the triangle and align it with the upper corner so that a visible square is formed on the fold of the top layer of paper.
5. Turn over to the other side (facing away from you).
6. Repeat step 4 again: open the triangle and, aligning its left corner with the top corner, lay out the paper in a square. The basic square shape is ready.
7. From the open side it looks like this.
Now you can start folding various three-dimensional shapes based on the basic “square” shape.
At first it seems that these beautiful flowers are glued together from several parts. But such a flower can be folded from a square sheet of one-sided colored paper in just half an hour. In the center of the flower you can see the back (white) side of the paper. The most difficult moment of assembly is the final phase. But thanks to step-by-step photos, this can also be easily done. The main thing is to carefully look at the photographs.
Sequence of work.
Fold the square in half diagonally (the white side will be inside) and unfold it.
Fold the sheet along the second diagonal.
Unfold the sheet again and fold it in half horizontally.
Unfold the piece of paper, turn it 90° and fold it in half again.
You will get a square with these folds.
Turn it over with the white side up. Bend the bottom of the square in half, aligning its edge with the horizontal fold.
Unfold it and rotate it clockwise 90°.
Fold the bottom of the square in half again to the middle line.
Repeat the steps shown in photos 8-9 twice. You will get a square, in the center of which there is another square, but smaller. It is indicated by dotted lines.
Lift the two closest sides of the square by the edge and connect them together, making a large fold.
Fold the edges, without releasing the folds, into the center of the workpiece.
Iron this fold to the left.
Then fold the fold in the opposite direction and press the fold again.
Open the fold.
When unfolded, press it onto the workpiece. You will get a small square.
Do the same with the remaining three corners (photo 11-16). You will get a blank with four small squares.
Now you need to fold each of these squares in a special way to make petals. Fold the top leaf of the square from the center to the top, folding it in half.
Unfold it and bend it so that its corner coincides with the center of the square.
Unfold again. Now bend the sheet so that the fold is between the folds already formed (shown by the dotted line).
As you can see, both folds matched.
Bend the right side of the square to the left. Fold it in half along the dotted line, starting from the center.
Return to the starting position, that is, to the right. You have made one side of the petal.
To make the second side of the petal, flip the left side of the square to the right (the white part of the leaf will be inside).
Fold this moving part in half too.
Return to original position. You will get one petal. Make three more petals from the remaining squares.
You will get a figure like this.
Now you need to bend the edge of the square towards the middle along the dotted lines.
Fold the top petals in half so they are out of the way, and bend the edge of the square on the left to a diagonal line. But iron the fold only until it intersects with the other fold (shown by the arrow).
Unfold the workpiece and fold the right side in the same way.
You will get a fold like this.
Fold the other sides in the same way. This is the still shapeless appearance your craft will have.
Turn it over to the other side.
Grab the corner (where the pointer is) and pinch it between your fingers so that the nearest petals - they are clearly visible from below - are connected to each other (shown by the arrow).
Make a fold in the place where you kept the craft. It will secure the flower in the desired position.
Have you ever thought about how to make a cube out of paper and why it is needed? Let's say how to make a cube out of cardboard on your own, we will tell you and even show you. What useful functions will you give to the origami cube? Let's give you a hint: remember your children's cubes with letters, from which you learned to form your first words, not yet knowing how to write. And if you cover a paper cube with pictures from old children's books, you will get a construction puzzle no less interesting than in our distant childhood.
There are countless options for using a colored paper cube in games. And at the same time, you won’t have to worry about children hurting each other when throwing such a toy. Our wooden ones were heavier. We are ready to show you how to make a paper cube with your own hands right now. Ready to get started?
Simple paper cube
A three-dimensional hexagonal 3D cube is folded from a square piece of paper without glue. And you don't even need scissors here. Unless you cut off the extra “tail” from the A4 sheet to get a square blank. But the skill of inflating balloons will come in handy, because we will now teach you how to make an inflatable cube. Intrigued? Then let's start:
- Diagram 1 is your visual guide. You should resort to it every time the folding algorithm seems complicated. Take a paper square and fold it diagonally, then in half - this is all just marking;
- Focusing on the diagonal folds, form a triangle by bending the side planes of the workpiece inward (see diagram). 4 walking corners at the base of the triangle need to be bent to the top, 2 on each side of the workpiece;
- Bend the opposite side corners to the center - you have a vertical reference axis here. Repeat on the other side. The walking corners of one of the conical protrusions (on the second the corners are “closed”) are folded twice so that they can be carefully tucked into the middle pocket corners;
- Similarly, tuck the double-folded corners into the pockets on the back of the workpiece. The cube model is ready, all that remains is to give it volume. Find an open corner and inflate the model through it.
Cube made of modules: assembled cube 6 colors
We have already discussed how to make a cube out of cardboard on your own above, and for this modular cube, multi-colored paper of 6 colors (or 3 repeating ones) will be enough. Even without cardboard, it will turn out to be quite dense due to the algorithm for folding the modules (each separately and all together). Let's start understanding it step by step. Let us immediately warn you that the whole process will be divided into 7 steps - folding the modules and assembling the cube (you can use glue - it will be stronger). It will take some time, but the result will definitely please you: the cubes will turn out bright, colorful, and do not require additional decorations or painting.
- Take a square piece of paper and fold it so that you get a visible division into 4 identical rectangular planes (see Fig. 2). Fold small corners along the diagonal corners of the starting square;
- Fold the “flaps” of the sheet, similar to closing window shutters. Using the corner guides (folded earlier), bend the previously unused corners inward, then tuck them inward on both sides. The result is a parallelogram;
- Turn the structure face down, bend the corners towards you so that you get a small square with triangular folded ears. Make 5 more pieces. such modules.
Connect blocks into a cube by inserting the corners of the modules into the middle pocket planes of adjacent blocks. Be smart; in a pinch, a diagram will help. You have learned in practice how to make an origami cube from bright modules. Try gluing the cube from blocks at the assembly stage so that it is even stronger and does not crumble into modules in the game. You can, of course, take a standard cube pattern, simply print it out and glue it together - ready-made templates are always at hand. And if the standard pattern does not suit you and you need an original counting cube for the game, you can fold it yourself once or twice. It’s easier when you know how to make even more subtle tricks out of paper. You might be interested in folding patterns or.
