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Sacred Geometry: visualization of symbols with Augmented Reality (AR) and Virtual Reality (VR) in A-frame

author: Paulo Henrique Siqueira - Universidade Federal do Paraná
contact: paulohscwb@gmail.com
versão em português

Metatron cube and the polyhedra of Plato and Archimedes

Sacred geometry assigns symbolic and sacred meanings to some geometric shapes and geometric proportions. There is an association of Sacred Geometry objects with a divine creator of the universal geometer. On this page we have Plato’s polyhedra and Archimedes’ cuboctahedron arising from the Grid of Life symbol. This work shows Sacred Geometry symbols modeled in 2D and 3D, with views that can be accessed with Augmented Reality resources and also in immersive Virtual Reality rooms.

Augmented Reality  |  3D Models  |  Home


Immersive rooms

🔗 room 1  |  🔗 room 2


Augmented Reality

To view Sacred Geometry symbols in AR, simply visit the pages indicated in the 3D solid models using any browser with a webcam device (smartphone, tablet or notebook).
Access to the VR pages is done by clicking on the blue circle that appears on top of the marker.

Augmented Reality to Sacred Geometry symbols


3D models

1. Metatron cube - tetrahedron

Metatron cube - tetrahedron


Plato conceived the world as being composed of four basic elements: Earth, Fire, Air and Water. Furthermore, Plato established a mystical association between these elements and the Platonic solids. Thus, the tetrahedron is associated with Fire and corresponds to the first circumference of the Seed of Life symbol. The vertices of the regular tetrahedron appear on some circumferences of the Metatron cube symbol.


2. Metatron cube - cube

Metatron cube - cube


According to Plato’s mystical correspondence, the cube is associated with the Earth and corresponds to the second circumference of the Seed of Life symbol. The vertices of the cube appear on some circumferences of the Metatron cube symbol.


3. Metatron cube - octahedron

Metatron cube - octahedron


According to Plato’s mystical correspondence, the octahedron is associated with Air and corresponds to the third circumference of the Seed of Life symbol. The vertices of the regular octahedron appear on some circumferences of the Metatron cube symbol.


4. Metatron cube - icosahedron

Metatron cube - icosahedron


According to Plato’s mystical correspondence, the icosahedron is associated with Water and corresponds to the fourth circumference of the Seed of Life symbol. The vertices of the regular icosahedron appear overlapping or correspondingly associated with some circumferences of the Metatron cube symbol.


5. Metatron cube - dodecahedron

Metatron cube - dodecahedron


According to Plato’s mystical correspondence, the dodecahedron is associated with the Universe and corresponds to the fifth circumference of the Seed of Life symbol. The vertices of the regular dodecahedron appear overlapping or correspondingly associated with some circumferences of the Metatron cube symbol.


6. Metatron cube - star tetrahedron

Metatron cube - star tetrahedron


The Merkabah or Star tetrahedron or Star of Davi is the geometric figure that represents male and female energy Heaven and Earth. The Star tetrahedron corresponds to the sixth circumference of the Seed of Life symbol and the vertices of this solid appear overlapping with some circumferences of the Metatron cube symbol.


7. Metatron cube - cuboctahedron

Metatron cube - cuboctahedron


The Archimedes cuboctahedron represents the Energy Vector of Equilibrium. The cuboctahedron corresponds to the seventh circumference of the Seed of Life symbol and the vertices of this solid appear overlapping or in correspondence with some circumferences of the Metatron cube symbol.


8. Metatron cube 3D - cuboctahedron v1

Metatron cube 3D


In this representation we have the 3D model of the Metatron cube symbol built with 3 rotations around one of the symbols. Joining the intersections of the external lines, we obtain an Archimedean cuboctahedron.


9. Metatron cube 3D - tetrahedron

Metatron cube 3D - tetrahedron


The tetrahedron is associated with Fire and corresponds to the first circumference of the Seed of Life symbol. The regular tetrahedron appears inscribed in the 3D Metatron cube symbol.


10. Metatron cube 3D - cube

Metatron cube 3D - tetrahedron


The cube is associated with the Earth and corresponds to the second circumference of the Seed of Life symbol. The cube appears inscribed in the 3D Metatron cube symbol.

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11. Metatron cube 3D - octahedron

Metatron cube 3D - octahedron


The octahedron is associated with the Air and corresponds to the third circumference of the Seed of Life symbol. The regular octahedron appears inscribed in the 3D Metatron cube symbol.


12. Metatron cube 3D - icosahedron

Metatron cube 3D - icosahedron


The icosahedron is associated with Water and corresponds to the fourth circumference of the Seed of Life symbol. The regular icosahedron appears circumscribed in the 3D Metatron cube symbol.


13. Metatron cube 3D - dodecahedron

Metatron cube 3D - dodecahedron


The dodecahedron is associated with the Universe and corresponds to the fifth circumference of the Seed of Life symbol. The regular dodecahedron appears circumscribed in the 3D Metatron cube symbol.


14. Metatron cube 3D - star tetrahedron

Metatron cube 3D - star tetrahedron


The Merkabah or Star tetrahedron or Star of Davi corresponds to the sixth circumference of the Seed of Life symbol. The star tetrahedron appears inscribed in the 3D Metatron cube symbol.


15. Metatron cube 3D - cuboctahedron v2

Metatron cube 3D - cuboctahedron


The Archimedes cuboctahedron represents the Energy Vector of Equilibrium and corresponds to the seventh circumference of the Seed of Life symbol. The cuboctahedron appears inscribed in the 3D Metatron cube symbol.

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Licença Creative Commons
Metatron cube and the polyhedra of Plato and Archimedes - Visualization of symbols with Augmented Reality and Virtual Reality by Paulo Henrique Siqueira is licensed with a license Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International.

How to cite this work:

Siqueira, P.H., "Metatron cube and the polyhedra of Plato and Archimedes: Visualization of symbols with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/SacredGeometry/metatron/>, October 2024.

DOI

References:
Pardesco. “Sacred Geometry Art, Symbols & Meanings”. https://pardesco.com/blogs/news/sacred-geometry-art-symbols-meanings
Weisstein, Eric W. “Platonic Solid” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/PlatonicSolid.html
Weisstein, Eric W. “Polyhedra” From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/topics/Polyhedra.html
Solar System Scope. “Solar Textures: Stars and Milky Way”. https://www.solarsystemscope.com/textures/
McCooey, D. I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/