Visualization of Fractal curves with polyhedra in Virtual Reality (VR) with A-frame

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



In this work, the 3D models of fractal curves with polyhedra can be seen in Virtual Reality (VR) and Augmented Reality (AR).

New fractal curves models

Dragon of Eve

E.T. the extra-terrestrial curve

Cat curve

Lévy curve

Previous fractal curves models

Platonic polyhedra fractals

Non convex polyhedra fractals 1

Archimedean polyhedra fractals

Archimedes and Catalan Dragon Fractals

Dragon fractals of non-convex polyhedra

Catalan fractals

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
Fractal curves with polyhedra: 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., "Fractal curves with polyhedra: Visualization with Virtual Reality". Available in: <https://paulohscwb.github.io/fractalcurves/>, February 2026.


References:
Ventrella, Jeffrey. “Fractal curves”. http://fractalcurves.com/
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/