How to make a paper pyramid. Diagram with dimensions, step-by-step instructions with photos. How to draw a pyramid with a pencil step by step

In ancient times, people were not particularly far-sighted and optimistic, and generally believed that people would at most live until 2012, and then they would burn in fiery hell. Therefore, they did not have the ability to explain things, or at least hint at their essence, in general, as well as the ability to do simple things. The Mayans made a post-apocalyptic calendar, which caused a lot of molehills and thoughts about life in the average person, and the ancient Egyptians built pyramids, the purpose of which worries even artists. And if so, we will learn how to draw pyramids with a pencil. The Pyramids of Cheops are one of the wonders of the world, a bunch of cobblestones that bring in a lot of income from the influx of tourists, as well as an architectural masterpiece built before our era. In ancient times, during the reign of the sun god Ra, they were used for the burial of pharaohs, sacrifices, and platonic contacts with other world and other mass entertainment. The pyramid-shaped structure turned out to be a very reliable structure, so similar buildings were built in Mesopotamia, China, Mars and Las Vegas. If you believe accurate sources from Wikipedia, then the pyramids in Egypt are called Egyptian, in China Chinese, and so on. Well, you understand.

One thing I know for sure is that drawing mystical structures is much easier than building them, especially if you do it according to these steps:

How to draw a pyramid with a pencil step by step

Step one. Draw several triangles, preferably even ones, and below there will be a sand background with camels. For now, let's denote them by circles.
Step two. Carefully select the shapes of the pyramids and outline the contours.
Step three. Now let's add some Bedouins with camels.
Step four. Let's add a few touches for believability. You can even color it with colored pencils. But I’ll leave this to you:
Try drawing others too mysterious places of our planet.

Rectangle, square, triangle, trapezoid and others are geometric figures from the section of exact science. A pyramid is a polyhedron. The base of this figure is a polygon, and the side faces are triangles with a common vertex, or trapezoids. To fully represent and study any geometric object, mock-ups 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 development. The method of converting flat objects into three-dimensional polyhedra and certain knowledge of geometry will help you create a layout. It is not easy to make developments from paper or cardboard. You will need the ability to make drawings to specified dimensions.

Materials and accessories

Modeling and execution of polyhedral volumes geometric shapes- an interesting and exciting process. From paper you can make a large number of all kinds of layouts. To work you will need:

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

Defining parameters

First of all, let's determine what the pyramid will be like. The development of this figure is the basis for making a three-dimensional figure. Completing the work will require extreme precision. If the drawing is incorrect, it will be impossible to assemble a geometric figure. Let's say you need to make a layout of the correct

Any geometric body has certain properties. This figure has a base and its vertex is projected into its center. The base is selected. This condition determines the name. Side ribs for a pyramid, these are triangles, the number of which depends on the polyhedron chosen for the base. IN in this case there will be three of them. It is also important to know the dimensions of all the components that will make up the pyramid. Paper developments are made in accordance with all the data of the geometric figure. The parameters of the future model are agreed upon in advance. The choice of material used depends on these data.

How is a regular pyramid unfolded?

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 expanded form. A flat image on paper corresponds to pre-selected dimensions and parameters. has a regular polygon as its base and its altitude passes through its center. Let's start by making a simple model. In this case it is triangular pyramid. Determine the dimensions of the selected figure.

To construct a net of a pyramid whose base is regular triangle, in the center of the sheet, using a ruler and pencil, draw a base of the given dimensions. Next, to each side we draw the side faces of the pyramid - triangles. Now let's move on to their construction. We measure the dimensions of the sides of the triangles on the lateral surface with a compass. We place 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 obtained as a result of such actions will determine the vertices of the side faces of the pyramid. We connect them to the base. We get a drawing of a pyramid. To glue a three-dimensional figure, valves are provided on the sides of the side faces. We finish drawing small trapezoids.

Layout assembly

Using scissors, cut out the completed design along the contour. Carefully bend the development along all the lines. We tuck the trapezoid valves inside the figure so that its edges close together. We lubricate them with glue. After thirty minutes the glue will dry. The volumetric figure is ready.

First, let's imagine what the geometric figure looks like, the model of which we will make. 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 draw the drawing on paper with a pencil. In the center of the sheet we draw a quadrilateral with the selected parameters.

We divide each side of the base in half. We draw a perpendicular, which will be the height of the triangular face. Compass solution, equal to length side face of the pyramid, we make notches on the perpendiculars, placing its leg at 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. For reliable fastening, a centimeter-wide strip is enough. The pyramid is ready for assembly.

The final stage of the layout

We cut out the resulting pattern of the figure along the contour. We bend the paper along the drawn lines. The three-dimensional figure is assembled by gluing. Lubricate the provided valves with glue and fix the resulting model.

Volumetric layouts of complex figures

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. Side faces- these 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, compass and ruler.

Construction of a drawing

The development of a truncated pyramid is performed in several stages. The side face of a truncated pyramid is a trapezoid, and the bases are similar polyhedra. Let's say these are squares. On a sheet of paper we draw a trapezoid with the given dimensions. Sides extend the resulting figure until it intersects. The result is 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 ribs that the truncated pyramid has. The sweep is performed inside the drawn circle. Using a compass, measure the lower base of the trapezoid. On the circle we mark five points that connect the lines to its center. We get four isosceles triangles. Using a compass, measure the side of the trapezoid drawn on a separate sheet. We put this distance on each side of the drawn triangles. We connect the resulting points. The side faces of the trapezoid are ready. All that remains is to draw the upper and lower bases of the pyramid. In this case, these are similar polyhedra - squares. We add squares to the upper and lower bases of the first trapezoid. The drawing shows all the parts that the pyramid has. The scan is almost ready. All that remains is to finish drawing the connecting valves on the sides of the smaller square and one of the faces of the trapezoids.

Completing the Simulation

Before gluing the three-dimensional figure, the drawing along the contour is cut out with scissors. Next, the development is carefully bent along the drawn lines. We tuck the mounting valves inside the model. We lubricate them with glue and press them to the edges of the pyramid. Let the models dry.

Making different models of polyhedra

Making three-dimensional models of geometric shapes is a fascinating activity. To master it thoroughly, you should start by performing the simplest sweeps. Gradually moving from simple crafts to more complex models, you can begin to create the most intricate designs.

In this lesson we will create a drawing of a pyramid. This figure is one of the light ones, perhaps lighter than a cube. If you read carefully, then this lesson will be more of a repetition of the material you have covered. Once again I want to repeat that art begins with, or a pen, or a pen... and from nature.

Here we will look more at the schematic creation of the pyramid than the artistic one. In general, our lessons are more than diagrams of drawings, but you can understand the principle of drawing.

And you can see the creation of a drawing in real time, although this is not a drawing of a pyramid, but a drawing, you can see on our website.

This is what the drawing should look like at the end of our lesson. All images are clickable:

Pyramid drawing in pictures

In the lesson I showed how to build it in space, although there we built a figure with one vanishing point. Here it is built with two vanishing points:

First we build the frame of the pyramid. Picture below:

Now let's designate the shadow:

We have three main planes A- the front part of the pyramid (light). B- the side part located in the shadow (the pyramid’s own shadow). C- (falling shadow). Looking down:

Fill the plane A tone. Picture below:

Plane B, is in the shadow, naturally it is darker than the light of the plane A. Let's do this:

But the darkest is a falling shadow C. Therefore, as you guessed correctly, let’s fill it with the darkest tone. Looking down:

Next, let's draw our pyramid. At the boundary of contact of planes A And B, edge of the plane B darken it. Also darken the shadow C closer to us, and the shadow on the contact of the planes C And B. Lighten the plane a little behind B where she meets the shadow C, this lightening is called REFLEX (reflection from the plane on which our pyramid stands). Looking down:

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It is known that the ancient civilizations of Egypt and Greece left visual and versatile evidence of themselves and various aspects of their lives in stone, drawings, texts, architecture, and sculptures. The Egyptians tried to convey information about the knowledge they had achieved in various ways, placing it in temples, pyramids, tombs, and various underground storage facilities. In our time, much has not yet been deciphered and understood. Inside the Cheops pyramid, many rooms and various void channels remain unclear. One of these rooms is a room where on a table there is an open book about the history and achievements of the country during the period of completion of the pyramid.

IN famous drawings and bas-relief images on stone slabs there are numerous technical devices of unknown purpose. Among them there are designs that resemble batteries and other sources of static electricity. About them in the media mass media they try not to mention it. But in vain. Knowledge about them could be useful for our civilization.

The study of drawings and images of a technical nature on stone slabs naturally led to the study of the external stepped walls of the Cheops pyramid. This was also prompted by the fact that several years ago an interesting find was discovered inside the pyramid. In the passage leading to the Queen's Chamber, high above on the right there is an image male portrait about 10 cm in size. This image is similar to a photograph on a stone. So far no one knows how it was made at this place.

On the outer walls of the pyramid, numerous curvilinear grooves of large and small sizes were first noticed. Studying them at a certain lighting angle made it possible to clearly see an image (portrait) of a middle-aged man on the southern side. The height of the portrait on the inclined wall is about 150 meters. In his portrait one can see stones of different colors (lighter and darker). Surrounded by the portrait you can also see other images (the trident of the Atlanteans and Scythians, an airplane bird, plans of stone buildings, pyramid rooms), texts, individual letters, big signs, resembling a flower bud, etc. It is believed that the portrait depicts God Thoth (a real god-man), who lived during that period and assisted Khafre, the main builder of the Great Pyramid (see Fig. 1).

Subsequent studies on the northern side of the pyramid revealed a portrait of a man and a woman with their heads bowed towards each other (Fig. 2). Presumably the portrait depicts the son of Pharaoh Khafre and his wife, who made a significant contribution to the construction of the pyramid (he may have been the main builder of the pyramid). On the same side, other smaller portraits of people, signs-symbols, texts, and drawings are visible. The portrait images probably represent deities and prominent people of the time. This is a portrait gallery of the people of Egypt.

A century later, a portrait of one of the Egyptian generals was applied to the image of the son of Khafre in such a way that all images are viewed without distortion, both early and late periods application (Fig. 3). There are also multiple images on the eastern and western sides of the pyramid, which remain to be explored and clarified. These unique portraits and other The paintings on the vast area of ​​the pyramid's walls were painted within just a few years of the main pyramid's completion and installation in 2630 BC. top stone, now kept in the Cairo Museum (Fig. 4). This stone has highly artistic exterior painting. Its translucency shows that a special object carrying information has been inserted inside it through a hole walled up from below. Over the following decades and centuries, new images and information continued to be added. Surprising great amount applied images, as well as their jewelry execution. In terms of application technique, they are significantly superior to the drawings of the Nazca desert, the USA, England...

On the eastern side of the pyramid, from its top to its base, a strip about 7 meters wide is clearly visible from some kind of physical impact on the stone blocks. This is evidence that it was here that there was a transport device that could be extended in length for conveying stone blocks upward. This device worked (using electricity) using the solenoid principle. For transportation, stone blocks were attached to iron pallets and moved upward. And from above they went down in the middle part of the western wall. There are also traces of this descent of pallets on the western side of the pyramid.

The electric transport device received static (amber) electricity from the internal three triple rooms located in the pyramid itself, as well as from several generating plants located at the foot of the pyramid.
There is reason to believe the legend that after construction was completed, this transporter was hidden in an underground storage facility near the pyramid at a depth of several tens of meters.

The technology for applying portraits and other images on an inclined stepped surface so that they can be viewed from the foot of the pyramid without distortion remains a mystery.
It is possible that when decorating portraits, individual stones could have been subjected to physical and chemical effects to give them lighter or darker shades, absorbing or emitting light.

Are not the discovered images on the walls of the Cheops pyramid the secret concentration of knowledge and information about the ancient Egyptian civilization that Herodotus and others wrote about?
The saying “face to face, you can’t make out the face” is truly true when millions of people visit the Great Pyramid and do not notice the real information on its outer walls. Will they notice now?