Visualization of polyhedra 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

Archimedes, Plato, Catalan, Johnson, non-convex, self-intersecting and quasi- regular polyhedra can be seen in Augmented Reality (AR) with the indicated markers, and through the links created in the markers, the 3D model of each polyhedron can be seen in Virtual Reality (VR).
A uniform polyhedron has regular polygons as faces and is isogonal, that is, it has an isometry that allows the set of its vertices to correspond to each other through symmetry relations. The notation used for the n^th uniform polyhedron is U_n.

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Archimedean polyhedra

Platonic polyhedra

Catalan polyhedra

Nonconvex polyhedra

Pyramids, tetrahedrons, prisms and antiprisms

Self-intersecting polyhedra

Quasi regular polyhedra

Self-intersecting truncated polyhedra

Self-intersecting snub polyhedra

Johnson solids 1: J₁ - J₃₂

Johnson solids 2: J₃₃ - J₆₂

Johnson solids 3: J₆₃ - J₉₂

Stellation to infinity polyhedra

📄 Complete list of polyhedra

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Immersive rooms

Augmented Reality and 3D models

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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

Polyhedra: Visualization of polyhedra 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., "Polyhedra: Visualization of polyhedra with Augmented Reality and Virtual Reality". Available in: , September 2019.

References:
Weisstein, Eric W. "Archimedean Solid" From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/ArchimedeanSolid.html
Weisstein, Eric W. "Platonic Solid" From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/PlatonicSolid.html
Weisstein, Eric W. "Archimedean Dual" From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/ArchimedeanDual.html
Weisstein, Eric W. "Uniform Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UniformPolyhedron.html
Wikipedia https://en.wikipedia.org/wiki/Archimedean_solid
Wikipedia https://en.wikipedia.org/wiki/Platonic_solid
McCooey, David I. "Visual Polyhedra". http://dmccooey.com/polyhedra/