Visualization of Polyhedra tessellation with Virtual Reality (VR) in A-frame
author: Paulo Henrique Siqueira - Universidade Federal do Paraná
contact: paulohscwb@gmail.com
versão em português
Tessellation - Spider web
The figures or works that are chosen as tesserae cover or pave the plane or a surface. The result is called tessellation, tiling, paving or mosaic.
Tessellations have been used since ancient times in floors, walls, carpets and other objects.
This work shows the tessellations made on all or some faces of polyhedrons, taking advantage of triangular, square, pentagonal or hexagonal symmetries of the faces of these solids.
On this page, we have tessellations made with constructions that imitate spider webs, inserted into the faces of common polyhedra, such as Plato’s dodecahedron, and rarer ones, such as the non-convex small icosicosidodecahedron.
3D models
1. Cubitruncated Cuboctahedron
tessellation type: hexagonal
2. Cubitruncated Cuboctahedron v2
tessellation type: octagonal
3. Dodecadodecahedron
tessellation type: pentagonal
4. Dodecahedron
tessellation type: pentagonal
5. Great Dodecahedron
tessellation type: pentagonal
6. Great Truncated Cuboctahedron
tessellation type: hexagonal
7. Icosidodecadodecahedron
tessellation type: hexagonal
8. Octahemioctahedron
tessellation type: hexagonal
9. Icosidodecahedron
tessellation type: pentagonal
10. Pentagonal Dypiramid
tessellation type: triangular
11. Rhombidodecadodecahedron
tessellation type: pentagonal
12. Small Dodecicosidodecahedron
tessellation type: decagonal and pentagonal
13. Small Icosicosidodecahedron
tessellation type: hexagonal
14. Truncated Cube
tessellation type: octagonal
15. Truncated Cuboctahedron
tessellation type: octagonal and hexagonal
16. Truncated Dodecadodecahedron
tessellation type: decagonal
17. Truncated Dodecahedron
tessellation type: decagonal
18. Truncated Great Dodecahedron
tessellation type: decagonal
19. Truncated Icosahedron
tessellation type: hexagonal and pentagonal
20. Truncated Icosidodecahedron
tessellation type: hexagonal and decagonal
21. Truncated Octahedron
tessellation type: hexagonal
22. Truncated Tetrahedron
tessellation type: hexagonal
23. Ditrigonal Dodecadodecahedron
tessellation type: pentagonal
24. Great Ditrigonal Dodecicosidodecahedron
tessellation type: pentagonal
25. Great Dodecicosahedron
tessellation type: hexagonal
26. Great Truncated Icosidodecahedron
tessellation type: hexagonal
27. Small Ditrigonal Dodecicosidodecahedron
tessellation type: decagonal
28. Small Stellated Truncated Dodecahedron
tessellation type: pentagonal
29. Great Icosahedron Truncated
tessellation type: hexagonal
Spider web: polyhedra tessellation and 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., "Spider web: polyhedra tessellation and visualization with Virtual Reality". Available in: <https://paulohscwb.github.io/tessellation/spiderweb/>, October 2025.
References:
Champagne, F. “Tessellations by Francine Champagne” https://tessellations.ca/
Weisstein, Eric W. “Tessellation.” From MathWorld–A Wolfram Web Resource. https://mathworld.wolfram.com/Tessellation.html
Mohr, R. “Tiled Art” https://tiled.art/en/home
McCooey, D. I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/