In this article you will be able to know each one of the representations that make up the platonic solids, whose geometric figures are unique and unmatched in history. Therefore, we will provide you with important and interesting information about the five polygonal elements that are part of this peculiar group.
What are the Platonic Solids?
They are solids that consist of several sides according to the figure, where you can know their purpose and the equality they have on each of their faces. That is to say, that all the platonic solids are known as polygons that consist of all their parts with regular surfaces, which makes them very attractive representations. In addition, they have their concrete angles equal.
On the other hand, we must mention the origin of this very interesting name that includes these figures in particular, because "Plato” That Greek philosopher of ancient times had the opportunity to have studied this group of platonic solids in the foreground. For this reason, the name was adapted in honor of this great character, an icon of history in the field of research and discoveries.
In addition, these solid representations have been known throughout human history by different names, encompassing them with various uses and connections in the areas of life, study and evolution. Thus, the platonic solids have had a very interesting and extensive journey, where they have been able to combine with mathematical, spiritual, structural issues and other very interesting relationships.
Thanks to these wonderful figures, there are today different guidelines on specific topics, which helped establish very fundamental mathematical rules such as the construction of more figures, since they have served as an inspiration for evolution and development.
The platonic solids are known in various subjects and circumstances, which provide help to understandings that go deeper than normal or conventional, since they are representations that reveal the possibility of the existence of elements that can contain equal sides and, be Totally useful for everyday life, you just have to know how to recognize them.
For this reason in history it has been possible to recognize the important areas of these solids, which are reduced to their edges, sides and vertices, whose information never varies, only their size or use would be the variety that exists in these special figures that do not they have no imbalance. If you like figures, you may also be interested in knowing the metatron's cube
Today, 5 figures can be recognized as platonic solids that are usually very common in the daily life of the human being. In addition, they are usually the first ways that the individual is taught to give a beginning of understanding, development, healthy evolution and full of common sense.
For this reason, there are multiple studies carried out towards these platonic solids, which have data from ancient times, as well as from the present, where the uses and advantages of the existence of these representations are still being extended, which give an air ease to discoveries, investigations and scientific problems.
From ancient times to the present day, it can be said that there are no equal criteria in other figures that contain the same regularity or peculiar dimension as those of the platonic solids. Well, it is impossible to form a new solid that is the same as these, since there are no studios that can build them, that's why there are only 5 solids.
These are the best known figures on planet earth, which have provided a lot of knowledge and complementation of various findings, as well as scientific and mathematical research especially. Its elements are fundamental for the understanding of themes that must be supported with these platonic representations.
Their vertices are responsible for joining each side of the platonic solids in order to build a polygon with exact regularity and dimension, making them very original and outstanding compared to other existing figures, thanks to their unique possibilities.
Thus, these platonic solids, which have been studied since ancient times, are the greatest inspiration for geometric creations that can be observed in the world. An example of this may be thecube” whose solid representation has served to create boxes, dice, and other utensils that human beings frequently use in their daily lives.
The platonic solids are the ones that have been discovered and analyzed from many points of view and in different centuries by extraordinary scientists, who have had the priority of establishing each one of the parts, measures and important characters, in order to achieve a perfection in its image and structure, leaving them as original representations and with different foundations.
In addition, it is these solids that have been present in every era of human life, serving as an example in the application of their polygonal perfection in the problems that arise before scientists or in everyday life. Also, they are the ones who exerted efforts on the icons of human history, leaving the great researchers with unparalleled knowledge. Other figures that also stand out for being very symmetrical are the colored mandalas
However, as the years went by, these platonic solids were given another type of notation and symbolism. Well, the 5 geometric representations were taken as elements of importance in life, that is, they were taken by those people who were looking for a sign of these.
Thus leaving fire, water, air, earth and the cosmos, as elements that can be represented with the platonic solids. This is due to the perfection that these geometric figures have, of which the others did not consist.
So, the platonic solids have a very interesting journey in human life, which is very striking and important to know. In addition, it can be understood that each of these 5 representations has left a great ancient and essential legacy, which is used today for human evolution.
History
As we have been reviewing, these figures called "platonic solids” were known in ancient times, leaving important research and discoveries of each of them and thanks to this they have become known in today's world, where they have been of great help and effectiveness to complement human development in their intelligence and understanding.
There are writings that date back many years, where it has been possible to know of the existence of the 5 solid representations that still exist today. However, it has not been possible to obtain precise information on the exact century in which the accurate investigation of these elements was carried out.
Although it has been made known in the works done by “Plato” that it was he who began the discovery of these solids, that is why they have that name. In addition, with this important information it can be deduced that these geometric representations exist from previous years of the existence of Jesus Christ on earth.
It is important to highlight that since the existence of the platonic solids, different scientists and philosophers have been in charge of studying each of these elements in greater depth. In order to obtain more data, in order to formalize a new knowledge and discovery of the human being on planet earth.
For this reason, different names have been given to these solids over the years. Although, stating that Plato he was the philosopher who first left his discovery of them, finally identifying them with the alias they have today.
It is also important to highlight that Plato, according to his writings, was the one who discovered and developed the image of the platonic solids, leaving a very important legacy. However, it was "theaetetus” a Greek who, according to ancient research, is known as a relative of the aforementioned philosopher, who had the opportunity, intelligence and foundation to demonstrate the existence of the 5 elements, in a mathematical way.
Said investigation yielded true calculations about their formation and the equality existing in each of the faces they have was confirmed, demonstrating that they are totally polygonal figures.
Thanks to theaetetus, is that it was possible to know the mathematical form of the platonic solids, demonstrating in numbers each one of the dimensions, vertices and sides that they have. Which are verified as polygons, that is, with a totally equal structure on each face they have. In addition, it is he who stated that another geographical representation like these could not be made.
That was a very interesting discovery and one that continues to be supported today, since no other geometric figure has managed to contain the same characteristics as the platonic solids, thus leaving the 5 existing representations as the only ones in the entire history of humanity. .
That is why the platonic solids are fundamental for the growth of human knowledge, which have been of great inspiration to scientists and researchers after these great men, who have stood out as highly respected and important figures to explain the origin of these polygonal elements.
Realization of the Platonic Solids
The five geometric shapes in this particular group are very easy to make. However, here we leave you a video so that you can better understand how the real structure of these regular polygons is made.
General Characteristics
The platonic solids are known from antiquity to the present times, as totally polygonal representations. That is to say, that all the sides that make them up are of maximum equality and successful regularity, making them an original group among all the geometric figures existing today.
Thus, the members of this group of platonic solids are identified by 5 representations. Which are known today, since they are the main figures that are instilled in the first teachings of the human being, becoming part of the growth and good development of people. Therefore, we will tell you the main characteristics of each of them below.
tetrahedron
One of the first platonic solids that was revealed in history was the tetrahedron, whose figure is represented by 4 faces, 6 edges and 4 vertices. Their data allows us to know that this representation is totally polygonal, which is one of the principles that the representations of this particular group must comply with.
In addition, it is the figure that has been able to serve as inspiration in the realization of various architectural projects. For example, the pyramid found in Egypt is a great image that demonstrates the equality that exists between each of its sides and that can be observed more accurately in real life.
It is important to emphasize that in the history of humanity since ancient times the 5 platonic solids were taken as a representation of the 5 elements that govern nature on planet earth. In this way the tetrahedron symbolizes fire, due to its similarity in its image according to those people.
Cube
The cube contains 6 faces with equal dimension and regularity, for this reason it is included in this group of platonic solids. In addition, the number of vertices it has can be added to this information, which is 8. In turn, it is a figure that has 12 edges, thanks to these data it is possible to know the exact shape of this geometric element.
This figure can also be recognized in most of the elements that exist in humanity, which have helped the effective development and evolution of the human being. Well, the cube is a very practical way to use it, either in real representation or in mathematical calculations.
In turn, the cube has had a different presentation in ancient religions or beliefs where this particular figure is located, as a symbol of the earth. This is how the versatility granted to the platonic solids in past centuries is confirmed.
Octahedron
Another of the well-known representations of the platonic solids is the Octahedron, whose dimensions can be known by knowing its fundamental data, such as the number of edges (12) and the vertices it contains, which are 6. With this, it is can relate the recreation of 8 sides that make up this peculiar geometric figure.
In addition, the octahedron can be recognized as a symbol of the air element, which has been known in the beliefs of past years, where each figure was given an element that makes up the main components of human life.
Dodecahedron
The Dodecahedron is known for its 12 equal sides, which are made up of 30 edges and 20 vertices. Showing off a very interesting polygonal figure, which can be said to be built with the regular pentagons known in the world of geometry.
This platonic solid was also part of the symbology given in ancient times by the Greeks, when it was known as the representation of a very peculiar element, since it was identified as the "Cosmos" this being oriented to the majestic figure it has.
icosahedron
One of the platonic solids that to the human eye seems complex, since it consists of 20 sides that, when joined, form its peculiar figure and in turn generate an equality on each face of it. For this reason, it is part of this important and unique group.
In addition, it is a figure that can be said to be made up of several triangles, the difference is that each side has the same measure. However, an idea of the image of this solid representation can thus be given.
The icosahedron is that image that can be identified with 30 edges and 12 vertices, which join each of the faces of this figure, representing a polygon with total equality. Also, it is one of the most striking elements and perhaps little used, but it becomes part of a feasible discovery.
In ancient times, some religions decided to take each of the solid figures to represent the essential elements of life, giving the Icosahedron the symbol of water. This is a little known fact but it became very important in previous centuries. Other equally interesting discoveries can be obtained by applying the numerology name
Properties of the Platonic Solids
The platonic solids consist of various properties, which make this special and geometric group a versatile element, since they have been used in different branches of science, mathematics and structure. For this reason, it has been possible to learn more about each aspect of these figures, making it clear at all times how important and unique they are.
Thesis
Thanks to the theses carried out over time, it has been possible to demonstrate how unique the platonic solids are, which can only be represented by equilateral triangles, pentagons or squares, in order to obtain the fundamental principle: an impeccable regularity in each one of its faces.
Platonic Solids Equation
In the mathematical field, it is possible to know and affirm the truth of the equal sides that are in each of the 5 platonic solids, which is found by adding the number of faces with that of its vertices, in this way the result will throw the amount of edges, to which a 2 must be added and thus obtain what is sought from the required representation.