Visualization of polyhedra in Metatron's cube symbol 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's cube and the nonconvex polyhedra 1
Metatron’s Cube is a complex structure of Sacred Geometry, derived from the structure of the Flower of Life. It is named after Archangel Metatron. The Metatron symbol appears in Jewish, Islamic and Christian tradition. This symbol is considered responsible for all creation and is considered an Archangel as well as a judge.
This work shows nonconvex polyhedra inscribed in the symbol of Metatron’s cube, with views that can be accessed with Augmented Reality resources and also in immersive Virtual Reality rooms.
Augmented Reality | 3D Models | Home
Immersive room
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.
3D models
1. Concave dodecahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A concave dodecahedron can be inscribed in Metatron’s cube symbol.
2. Cubitruncated cuboctahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A cubitruncated cuboctahedron can be inscribed in Metatron’s cube symbol.
3. Cube kites
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A cube kites can be inscribed in Metatron’s cube symbol.
4. Cubohemioctahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A cubohemioctahedron can be inscribed in Metatron’s cube symbol.
5. Ditrigonal dodecadodecahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A ditrigonal dodecadodecahedron can be inscribed in Metatron’s cube symbol.
6. Dodecahedron kites
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A dodecahedron kites can be inscribed in Metatron’s cube symbol.
7. Dodecadodecahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A dodecadodecahedron can be circumscribed in Metatron’s cube symbol.
8. Escher solid
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. An Escher solid can be inscribed in Metatron’s cube symbol.
9. Escher solid dual
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. An Escher solid dual can be inscribed in Metatron’s cube symbol.
10. Great cubicuboctahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great cubicuboctahedron can be inscribed in Metatron’s cube symbol.
11. Great dirhombicosidodecahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A great dirhombicosidodecahedron can be inscribed in Metatron’s cube symbol.
12. Great disdyakis dodecahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A great disdyakis dodecahedron can be inscribed in Metatron’s cube symbol.
13. Great ditrigonal dodecicosidodecahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great ditrigonal dodecicosidodecahedron can be inscribed in Metatron’s cube symbol.
14. Great ditrigonal icosidodecahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A great ditrigonal icosidodecahedron can be inscribed in Metatron’s cube symbol.
15. Great dodecahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A great dodecahedron can be inscribed in Metatron’s cube symbol.
16. Great dodecahemicosahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great dodecahemicosahedron can be circumscribed in Metatron’s cube symbol.
17. Great deltoidal icositetrahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great deltoidal icositetrahedron can be inscribed in Metatron’s cube symbol.
18. Great dodecicosahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A great dodecicosahedron can be inscribed in Metatron’s cube symbol.
19. Great hexacronic icositetrahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A great hexacronic icositetrahedron can be inscribed in Metatron’s cube symbol.
20. Great rhombihexacron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great rhombihexacron can be inscribed in Metatron’s cube symbol.
21. Great rhombihexahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A great rhombihexahedron can be inscribed in Metatron’s cube symbol.
22. Great triakis octahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A great triakis octahedron can be inscribed in Metatron’s cube symbol.
23. Great truncated cuboctahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A great truncated cuboctahedron can be inscribed in Metatron’s cube symbol.
24. Hexakis tetrahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A hexakis tetrahedron can be inscribed in Metatron’s cube symbol.
25. Hexakis stellated tetrahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A hexakis stellated tetrahedron can be inscribed in Metatron’s cube symbol.
26. Hexakis tetrahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A hexakis tetrahedronn can be inscribed in Metatron’s cube symbol.
27. Hexakis stellated tetrahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A hexakis stellated tetrahedron can be circumscribed in Metatron’s cube symbol.
28. Hexakis tetrahedron
Metatron’s Cube is considered a geometric variation of the Fruit of Life symbol, which is in turn derived from the Flower of Life symbol. A hexakis tetrahedron can be inscribed in Metatron’s cube symbol.
29. Hexakis stellated tetrahedron
Metatron’s Cube is a powerful symbol of Sacred Geometry, as this symbol is believed to contain all the patterns of creation. A hexakis stellated tetrahedron can be inscribed in Metatron’s cube symbol.
30. Hexakis tetrahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A hexakis tetrahedron can be inscribed in Metatron’s cube symbol.
31. Hexakis stellated tetrahedron
Metatron’s Cube is the name given to a complex two-dimensional geometric figure made of 13 circles of equal size, with lines extending from the center of each circle to the center of all twelve other circles. A hexakis stellated tetrahedron can be inscribed in Metatron’s cube symbol.
Metatron’s cube and the nonconvex polyhedra 1: 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's cube and the nonconvex polyhedra 1: Visualization of symbols with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/metatron/nonconvex/>, February 2026.
References:
Pardesco. “Sacred Geometry Art, Symbols & Meanings”. https://pardesco.com/blogs/news/sacred-geometry-art-symbols-meanings
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/