Polyhedra tessellation

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 in strips

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 the faces of polyhedra, taking advantage of the rectangular symmetries of the faces of these solids.
On this page, we have some examples of tessellations in the form of strips, inserted into the rectangular faces of stellation to infinity polyhedra.

3D Models | Home

RV de tesselação

3D models

1. Rio de Janeiro sidewalk

description: Rio de Janeiro sidewalk pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

2. Curitiba sidewalk

description: Curitiba sidewalk pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

3. Rio de Janeiro sidewalk

4. Flower of life

description: flower of life pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

5. Curitiba sidewalk

6. Araucarias

description: Araucarias pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

7. Menger cross of Jerusalem

description: Menger cross of Jerusalem pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

8. Fractal tree

description: Fractal tree pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

9. Menger sponge

description: Menger sponge pattern
tessellation type: rectangular
polyhedra: great dodecahemicosacron, great dodecahemidodecacron, hexahemioctacron, small icosihemidodecacron, tetrahemihexacron, star great dodecahemicosacron, star hexahemioctacron, star tetrahemihexacron

10. Menger sponge

11. Menger cross of Jerusalem

12. Menger cross of Jerusalem

Tessellation in strips: 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., "Tessellation in strips: polyhedra tessellation and visualization with Virtual Reality". Available in: <https://paulohscwb.github.io/tessellation/strips/>, May 2026.

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/