Visualization of polyhedra in Grid of Life 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
Grid of life and Nonconvex polyhedra
The symbol of the Grid of Life, also called tetrahedron 64, contrasts the Star Tetrahedron with the Flower of Life. We have 64 tetrahedra that form the Grid of Life symbol, which can be overlayed on the Flower of Life symbol, with the circles symbolizing the vastness of space and the interconnected lines indicating where space converges over time.
This work shows Nonconvex polyhedra inscribed or circumscribed in the symbol of the Grid of Life, 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 | 🔗 room 3
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
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A concave dodecahedron can be inscribed in the Grid of Life symbol.
2. Cubitruncated cuboctahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A cubitruncated cuboctahedron can be inscribed in the Grid of Life symbol.
3. Cube kites
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A cube kites can be inscribed in the Grid of Life symbol.
4. Cubohemioctahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A cubohemioctahedron can be inscribed in the Grid of Life symbol.
5. Dodecahedron kites
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A dodecahedron kites can be circumscribed in the Grid of Life symbol.
6. Escher solid
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A Escher solid can be inscribed in the Grid of Life symbol.
7. Escher dual solid
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A Escher dual solid can be inscribed in the Grid of Life symbol.
8. Great cubicuboctahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A great cubicuboctahedron can be inscribed in the Grid of Life symbol.
9. Great deltoidal icositetrahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A great deltoidal icositetrahedron can be inscribed in the Grid of Life symbol.
10. Great disdyakis dodecahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A great disdyakis dodecahedron can be inscribed in the Grid of Life symbol.
11. Great hexacronic icositetrahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A great hexacronic icositetrahedron can be inscribed in the Grid of Life symbol.
12. Great rhombihexacron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A great rhombihexacron can be inscribed in the Grid of Life symbol.
13. Great rhombihexahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A great rhombihexahedron can be inscribed in the Grid of Life symbol.
14. Great triakis octahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A great triakis octahedron can be inscribed in the Grid of Life symbol.
15. Trapezohedral tristetrahedron fractal
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A trapezohedral tristetrahedron fractal can be circumscribed in the Grid of Life symbol.
16. Hexakis tetrahedron fractal
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron fractal can be inscribed in the Grid of Life symbol.
17. Great truncated cuboctahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A great truncated cuboctahedron can be inscribed in the Grid of Life symbol.
18. Hexakis tetrahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron can be inscribed in the Grid of Life symbol.
19. Hexakis tetrahedron star
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A hexakis tetrahedron star can be inscribed in the Grid of Life symbol.
20. Hexakis tetrahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A hexakis tetrahedron can be inscribed in the Grid of Life symbol.
21. Hexakis tetrahedron star
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron star can be inscribed in the Grid of Life symbol.
22. Hexakis tetrahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A hexakis tetrahedron can be inscribed in the Grid of Life symbol.
23. Hexakis tetrahedron star
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron star can be inscribed in the Grid of Life symbol.
24. Hexakis tetrahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron can be inscribed in the Grid of Life symbol.
25. Hexakis tetrahedron star
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A hexakis tetrahedron star can be circumscribed in the Grid of Life symbol.
26. Icosahedron kites
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. An icosahedron kites can be inscribed in the Grid of Life symbol.
27. Möbius deltahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A Möbius deltahedron can be inscribed in the Grid of Life symbol.
28. Möbius deltahedron star
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A Möbius deltahedron star can be inscribed in the Grid of Life symbol.
29. Octahedron kites
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. An octahedron kites can be inscribed in the Grid of Life symbol.
30. Octahemioctahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. An octahemioctahedron can be inscribed in the Grid of Life symbol.
31. Hexakis tetrahedron fractal
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A hexakis tetrahedron fractal can be inscribed in the Grid of Life symbol.
32. Trapezohedral tristetrahedron fractal
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A trapezohedral tristetrahedron fractal can be inscribed in the Grid of Life symbol.
33. Small cubicuboctahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A small cubicuboctahedron can be inscribed in the Grid of Life symbol.
34. Small hexacronic icositetrahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A small hexacronic icositetrahedron can be inscribed in the Grid of Life symbol.
35. Small rhombihexacron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A small rhombihexacron can be circumscribed in the Grid of Life symbol.
36. Small rhombihexahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A small rhombihexahedron can be inscribed in the Grid of Life symbol.
37. Stellated truncated hexahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A stellated truncated hexahedron can be inscribed in the Grid of Life symbol.
38. Tetartoid
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A tetartoid can be inscribed in the Grid of Life symbol.
39. Tetartoid star
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A tetartoid star can be inscribed in the Grid of Life symbol.
40. Tetradyakis hexahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A tetradyakis hexahedron can be inscribed in the Grid of Life symbol.
41. Tetrahemihexahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A tetrahemihexahedron can be inscribed in the Grid of Life symbol.
42. Trapezohedral tristetrahedron
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A trapezohedral tristetrahedron fractal can be inscribed in the Grid of Life symbol.
43. Trapezohedral tristetrahedron star
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A trapezohedral tristetrahedron star can be inscribed in the Grid of Life symbol.
44. Trapezohedral tristetrahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A trapezohedral tristetrahedron can be inscribed in the Grid of Life symbol.
45. Trapezohedral tristetrahedron star
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A trapezohedral tristetrahedron star can be circumscribed in the Grid of Life symbol.
46. Uniform great rhombicuboctahedron
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. An uniform great rhombicuboctahedron can be inscribed in the Grid of Life symbol.
47. Möbius deltahedron fractal
Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. A Möbius deltahedron fractal can be inscribed in the Grid of Life symbol.
48. Tetartoid fractal
Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. A tetartoid fractal can be inscribed in the Grid of Life symbol.
Grid of life and nonconvex polyhedra: 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., "Grid of life and nonconvex polyhedra: Visualization of symbols with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/grid-of-life/nonconvex/>, June 2026.
References:
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Solar System Scope. “Solar Textures: Stars and Milky Way”. https://www.solarsystemscope.com/textures/
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