© 2025 GeoModule
PLATONIC SOLIDS
The five geometric elements that make up our world
MEANINGS OF COLLECTION
"My work is driven and inspired by exploring geometric forms and patterns through art. To grasp the significance of these five elements, I wanted to examine them from every angle. I looked for connections between these geometric forms and life, the cosmos, human destiny, nature, and the stars. When I discovered these interrelations, I felt deeply inspired and wanted to create these five paintings to share the meanings and images that lie behind these symbols. In truth, they live within each of us, because the qualities they embody are part of our individuality. From birth, each person belongs to one of these symbols. Each sign of the Zodiac is linked to one of these forms, and that is very interesting." - GeoModule (Denis Kirichkov)
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.
The energy painting “Tetrahedron — Fire” is the first impulse of the “Platonic Solids” collection.
Its tip pierces the darkness, turning potential into action. Four sides — four vectors of will: they gather attention, ignite courage, and clear the way.
This is an image of initiation, of inner heat that warms the bearer of this artifact. The inner core pulsates with flame, and the air around the peaks trembles like a thermal halo: the form breathes, striving upward.
The work calibrates space for determination, straightens the posture of intention, and sets the starting frequency of a new cycle.
The painting was created to fill a person and the space in which they live with vital energy. Simply place it in your home and know that it is synchronized with your inner energy.
"Octahedron - Air" - the inhalation and exhalation of the collection.
Two pyramids, joined in equilibrium, create an axis of lightness and clarity.
It is a mental wind: it airs out thoughts, dispels stagnation, and raises the gaze above the horizon.
Eight faces — eight directions of breath, where attention becomes transparent and decisions become light and precise.
Inside, it is as if ascending currents are circulating: the whisper of streams, the flickering of cold light, a feeling of weightlessness around a thin axis.
A talisman of flexibility, communication, and fresh beginnings, softening resistance and attracting synchronicity.
The work tunes the space for free movement and open dialogue.
“Cube - Earth” is the backbone of the collection, its foundation and weight.
Six sides bring the horizon together into a stable shape, where intention takes shape. This is where boundaries, rules, and fertility are born: the unnecessary falls away, leaving only the reliable.
The cube evens out the rhythm, grounds the mind, turns dreams into plans, and plans into action.
Its presence is like a warm stone in the palm of your hand: it calms you and brings you back to center. Inside, you can hear the low harmony of the soil, feel the hint of minerals and tree bark.
The image strengthens the home, finances, and health, helps to withstand pressure and move forward step by step.
Work sets the mode of creation and careful accumulation.
“Icosahedron - Water” is the fluid heart of the collection.
Twenty faces reveal multifaceted sensitivity, where each angle turns into a wave.
This is the energy of acceptance and restoration: it washes away, smoothes sharp edges, and restores softness.
The icosahedron teaches us to listen to our intuition, speak the language of emotions, and change without losing our core. It brings clarity to dreams, pure reflections, and the ability to dissolve tension.
The work activates a mode of regeneration and gentle movement of feelings.
“Dodecahedron - Ether” - the silence between heartbeats, an invisible bundle of elements.
Twelve faces — twelve gates to wholeness; through them, the cosmos breathes and the subtle tuning of destiny sounds.
This is the fifth element: the field of meaning from which forms are born and to which they return.
The dodecahedron connects intuition and reason, space and time, giving a sense of belonging to something greater.
It strengthens intention without effort, expands the boundaries of perception, and invites contemplation.
The work sanctifies the path, making it clear and calm.
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.
The energy painting “Tetrahedron — Fire” is the first impulse of the “Platonic Solids” collection.
Its tip pierces the darkness, turning potential into action. Four sides — four vectors of will: they gather attention, ignite courage, and clear the way.
This is an image of initiation, of inner heat that warms the bearer of this artifact. The inner core pulsates with flame, and the air around the peaks trembles like a thermal halo: the form breathes, striving upward.
The work calibrates space for determination, straightens the posture of intention, and sets the starting frequency of a new cycle.
The painting was created to fill a person and the space in which they live with vital energy. Simply place it in your home and know that it is synchronized with your inner energy.
"Octahedron - Air" - the inhalation and exhalation of the collection.
Two pyramids, joined in equilibrium, create an axis of lightness and clarity.
It is a mental wind: it airs out thoughts, dispels stagnation, and raises the gaze above the horizon.
Eight faces — eight directions of breath, where attention becomes transparent and decisions become light and precise.
Inside, it is as if ascending currents are circulating: the whisper of streams, the flickering of cold light, a feeling of weightlessness around a thin axis.
A talisman of flexibility, communication, and fresh beginnings, softening resistance and attracting synchronicity.
The work tunes the space for free movement and open dialogue.
“Cube - Earth” is the backbone of the collection, its foundation and weight.
Six sides bring the horizon together into a stable shape, where intention takes shape. This is where boundaries, rules, and fertility are born: the unnecessary falls away, leaving only the reliable.
The cube evens out the rhythm, grounds the mind, turns dreams into plans, and plans into action.
Its presence is like a warm stone in the palm of your hand: it calms you and brings you back to center. Inside, you can hear the low harmony of the soil, feel the hint of minerals and tree bark.
The image strengthens the home, finances, and health, helps to withstand pressure and move forward step by step.
Work sets the mode of creation and careful accumulation.
“Icosahedron - Water” is the fluid heart of the collection.
Twenty faces reveal multifaceted sensitivity, where each angle turns into a wave.
This is the energy of acceptance and restoration: it washes away, smoothes sharp edges, and restores softness.
The icosahedron teaches us to listen to our intuition, speak the language of emotions, and change without losing our core. It brings clarity to dreams, pure reflections, and the ability to dissolve tension.
The work activates a mode of regeneration and gentle movement of feelings.
“Dodecahedron - Ether” - the silence between heartbeats, an invisible bundle of elements.
Twelve faces — twelve gates to wholeness; through them, the cosmos breathes and the subtle tuning of destiny sounds.
This is the fifth element: the field of meaning from which forms are born and to which they return.
The dodecahedron connects intuition and reason, space and time, giving a sense of belonging to something greater.
It strengthens intention without effort, expands the boundaries of perception, and invites contemplation.
The work sanctifies the path, making it clear and calm.
"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.