Visualization of Polyhedra with Virtual Reality (VR) in A-frame

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


A polyhedral compound is composed of several polyhedra sharing a common center.
They are the three-dimensional analogs of polygonal compounds such as the hexagram.
The outer vertices of a compound can be connected to form a convex polyhedron called its convex hull.
A compound is a faceting of its convex hull.
This work shows the most well-known polyhedral compounds, all with models for viewing in Virtual Reality: chiricosahedron, Escher compound, disnubahedron, snubahedron, icosicosahedron and small snubahedron.

Tetrahedra family

Cube family

Tetrahedra packings

Vesica piscis and Trinexus

Virtual Reality

3D models


The orbit scripts developed by Kevin Ngo were used in the Virtual Reality pages of the 3D models: Orbit controls for A-Frame.
The teleport scripts developed by Fernando Serrano were used in the Virtual Reality pages of the 3D models: Developing an A-Frame Teleport Component


Licença Creative Commons
Polyhedral Compound: visualization with 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., "Polyhedral Compound: Visualization of polyhedra with Virtual Reality". Available in: <https://paulohscwb.github.io/polycompound/>, March 2025.


References:
Weisstein, Eric W. “Polyhedron Compound” From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/PolyhedronCompound.html
Weisstein, Eric W. “Uniform Polyhedron.” From MathWorld–A Wolfram Web Resource. https://mathworld.wolfram.com/UniformPolyhedron.html
McCooey, David I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/