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PLATONIC SOLIDS
The five geometric elements that make up our world
MEANINGS OF COLLECTION
In the Timaeus, Platon correlated four elements of nature with bodies: fire is a tetrahedron, air is an octahedron, water is an icosahedron, and earth is a cube.
He attributed the fifth body, the dodecahedron, to the structure of the cosmos as a whole, indicating its special role in the universe.
Energy painting "Tetrahedron - Fire".
It is based on a sacred geometric figure - a tetrahedron.
The tetrahedron has 4 vertices and 4 faces, which makes it harmonious in terms of male and female energy.
The tetrahedron has many unique properties as an independent Sacred body and is a harmonious, unipolar figure. Its uniqueness lies in the fact that it receives energy from Space with all vertices in the same way.
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Octahedron - Air".
It is based on a sacred geometric figure - an octahedron.
The octahedron represents the element of air, which is expressed in the throat chakra through our breath.
The strength of the octahedron lies in the fact that it is absolutely harmonious in its construction. Plus, it always has two poles – positive and negative. Two different field structures, which, obeying not only physical but also Universal laws, are attracted to each other, balance each other and help each other maintain balance
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Earth - Cube".
The element of the Earth in sacred geometry is represented by a "Cube" or Hexagon - Hexagon.
A cube, the personification of the world of the third dimension, in which a person lives. Its six faces correspond to six directions in 3d space: up-down, left-right, forward-backward.
The hexagon or cube symbolizes the Earth and is connected to the root chakra, which grounds us in our physical body.
The energy of the cube in its impact on the energy and information structure of a person is the strongest grounding agent. At the level of the psyche, it brings calmness and confidence.
Energy picture :Cube - Earth" was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Water - Icosahedron".
It is based on a sacred geometric figure - an Icosahedron.
The icosahedron symbolizes the element of Water in sacred geometry.
Water is an element embodying an ever-changing world. The only unchanging state in our life is a state of change. this is the whole essence of the element of water.
The energy of water helps to find stability and integrity within chaos. Being water means being flexible to any life circumstances.
In the ancient world, water was considered the creative source of all life, it is often credited with the birth of life on earth.
This painting was created to fill the creative energy of a person and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Ether - Dodecahedron".
It is based on a sacred geometric figure - a Dodecahedron.
In Plato's dialogue "Timaeus", 4 geometric bodies are correlated with the elements, and it is said about the dodecahedron: "There is still a fifth multi-faceted structure that God used to decorate the firmament with stars." In other words, the ether is the space within which everything else exists.
A dodecahedron is a polygon with 12 equal pentagonal faces. Aristotle defined it as an element of ether and associated it with divine thought or will. It is visible as the invisible energy of space.
The dodecahedron is located within the chakra of the third eye, reminding us of the power of our intuitive knowledge.
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
He attributed the fifth body, the dodecahedron, to the structure of the cosmos as a whole, indicating its special role in the universe.
Energy painting "Tetrahedron - Fire".
It is based on a sacred geometric figure - a tetrahedron.
The tetrahedron has 4 vertices and 4 faces, which makes it harmonious in terms of male and female energy.
The tetrahedron has many unique properties as an independent Sacred body and is a harmonious, unipolar figure. Its uniqueness lies in the fact that it receives energy from Space with all vertices in the same way.
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Octahedron - Air".
It is based on a sacred geometric figure - an octahedron.
The octahedron represents the element of air, which is expressed in the throat chakra through our breath.
The strength of the octahedron lies in the fact that it is absolutely harmonious in its construction. Plus, it always has two poles – positive and negative. Two different field structures, which, obeying not only physical but also Universal laws, are attracted to each other, balance each other and help each other maintain balance
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Earth - Cube".
The element of the Earth in sacred geometry is represented by a "Cube" or Hexagon - Hexagon.
A cube, the personification of the world of the third dimension, in which a person lives. Its six faces correspond to six directions in 3d space: up-down, left-right, forward-backward.
The hexagon or cube symbolizes the Earth and is connected to the root chakra, which grounds us in our physical body.
The energy of the cube in its impact on the energy and information structure of a person is the strongest grounding agent. At the level of the psyche, it brings calmness and confidence.
Energy picture :Cube - Earth" was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Water - Icosahedron".
It is based on a sacred geometric figure - an Icosahedron.
The icosahedron symbolizes the element of Water in sacred geometry.
Water is an element embodying an ever-changing world. The only unchanging state in our life is a state of change. this is the whole essence of the element of water.
The energy of water helps to find stability and integrity within chaos. Being water means being flexible to any life circumstances.
In the ancient world, water was considered the creative source of all life, it is often credited with the birth of life on earth.
This painting was created to fill the creative energy of a person and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
Energy painting "Ether - Dodecahedron".
It is based on a sacred geometric figure - a Dodecahedron.
In Plato's dialogue "Timaeus", 4 geometric bodies are correlated with the elements, and it is said about the dodecahedron: "There is still a fifth multi-faceted structure that God used to decorate the firmament with stars." In other words, the ether is the space within which everything else exists.
A dodecahedron is a polygon with 12 equal pentagonal faces. Aristotle defined it as an element of ether and associated it with divine thought or will. It is visible as the invisible energy of space.
The dodecahedron is located within the chakra of the third eye, reminding us of the power of our intuitive knowledge.
The painting was created to fill a person with vital energy and the space in which he lives. It is enough to place it in your home and know that it is synchronized with your inner energy.
"PLATONIC SOLIDS" geometric elements.
Platonic solids are five convex regular polyhedra in which all faces are congruent (equal) regular polygons and the same number of faces meet at each vertex. These include the tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron.
List and parameters
Tetrahedron: 4 faces, 6 edges, 4 vertices.
Cube (hexahedron): 6 faces, 12 edges, 8 vertices.
Octahedron: 8 faces, 12 edges, 6 vertices.
Dodecahedron: 12 faces, 30 edges, 20 vertices.
Icosahedron: 20 faces, 30 edges, 12 vertices.
Why are there only five?
The requirement for identical regular faces and the same number of them at each vertex leaves only a few possible combinations: with triangles, we get a tetrahedron, octahedron, and icosahedron; with squares, only a cube; with pentagons, only a dodecahedron. When attempting to use more “flat” polygons or to assemble too many faces at one vertex, the geometric structure either loses its convexity or becomes impossible.
Connection with Plato's philosophy
In Timaeus, Plato correlated the four elements of nature with solids: fire — tetrahedron, air — octahedron, water — icosahedron, earth — cube. He attributed the fifth body, the dodecahedron, to the structure of the cosmos as a whole, pointing to its special role in the universe.
Key features
These polyhedra have the maximum possible symmetry among convex bodies, and their vertices and edges are equivalent in location. In mathematics, they are also called regular polyhedra, emphasizing the equality of faces, edges, and dihedral angles.
List and parameters
Tetrahedron: 4 faces, 6 edges, 4 vertices.
Cube (hexahedron): 6 faces, 12 edges, 8 vertices.
Octahedron: 8 faces, 12 edges, 6 vertices.
Dodecahedron: 12 faces, 30 edges, 20 vertices.
Icosahedron: 20 faces, 30 edges, 12 vertices.
Why are there only five?
The requirement for identical regular faces and the same number of them at each vertex leaves only a few possible combinations: with triangles, we get a tetrahedron, octahedron, and icosahedron; with squares, only a cube; with pentagons, only a dodecahedron. When attempting to use more “flat” polygons or to assemble too many faces at one vertex, the geometric structure either loses its convexity or becomes impossible.
Connection with Plato's philosophy
In Timaeus, Plato correlated the four elements of nature with solids: fire — tetrahedron, air — octahedron, water — icosahedron, earth — cube. He attributed the fifth body, the dodecahedron, to the structure of the cosmos as a whole, pointing to its special role in the universe.
Key features
These polyhedra have the maximum possible symmetry among convex bodies, and their vertices and edges are equivalent in location. In mathematics, they are also called regular polyhedra, emphasizing the equality of faces, edges, and dihedral angles.