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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


Sacred Geometry is considered the universal design language of the cosmos. It is an ancient science that explores and explains the energy patterns that serve to create and unify all things.
The mathematical structures used in Sacred Geometry can be found in the arts, architecture and even in our DNA. These structures are everywhere, and serve as a link between analytical thinking and the intuitive side, or between science and spirituality.
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 polyhedra inscribed or circumscribed in the Metatron's Cube symbol modeled in 3D, with views that can be accessed with Augmented Reality resources and also in immersive Virtual Reality rooms.

Catalan polyhedra

Archimedean polyhedra


Immersive rooms

Augmented Reality and 3D models



The Augmented Reality environments were created with the Jerome Etienne scripts: AR.js - Augmented Reality for the Web.
The orbit scripts developed by Kevin Ngo were used in the Virtual Reality pages of the 3D models: Orbit controls for A-Frame.
The immersive rooms use the physical properties of 3D objects developed by Micah Blumberg: Physics for A-Frame VR
The interaction controls used in the immersive rooms were developed by Will Murphy: Super Hands


Licença Creative Commons
Visualization of polyhedra in Metatron’s cube symbol 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., "Visualization of polyhedra in Metatron's cube symbol with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/metatron/>, March 2025.



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/
McCooey, D. I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/