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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 - Flower of life 1

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 of Flower of life symbol, inserted into the faces of common polyhedra, such as Plato’s icosahedron, and rarer ones, such as the non-convex icosidodecadodecahedron. In this part of the work, each symbol petal is the size of the polyhedron edge covered by the tessellation.

3D Models  |  Home


RV de tesselação


3D models

1. Antiprism

Antiprism
tessellation type: hexagonal and triangular


2. Cubitruncated Cuboctahedron

Cubitruncated Cuboctahedron
tessellation type: hexagonal


3. Ditrigonal Dodecadodecahedron

Ditrigonal Dodecadodecahedron
tessellation type: pentagonal


4. Dodecadodecahedron

Dodecadodecahedron
tessellation type: pentagonal


5. Dodecahedron with pyramids

Dodecahedron with pyramids
tessellation type: pentagonal


6. Dodecahedron

Dodecahedron
tessellation type: pentagonal


7. Great Cubicuboctahedron

Great Cubicuboctahedron
tessellation type: triangular


8. Great Ditrigonal Dodecicosidodecahedron

Great Ditrigonal Dodecicosidodecahedron
tessellation type: pentagonal


9. Great Dodecahedron

Great Dodecahedron
tessellation type: pentagonal


10. Great Dodecicosahedron

Great Dodecicosahedron
tessellation type: hexagonal


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11. Great Dodecicosidodecahedron

Great Dodecicosidodecahedron
tessellation type: triangular


12. Great Icosahedron

Great Icosahedron
tessellation type: triangular


13. Great Icosidodecahedron

Great Icosahedron
tessellation type: triangular


14. Great Truncated Cuboctahedron

Great Truncated Cuboctahedron
tessellation type: hexagonal


15. Great Truncated Icosidodecahedron

Great Truncated Icosidodecahedron
tessellation type: hexagonal


16. Gyroelongated Square Dipyramid

Gyroelongated Square Dipyramid
tessellation type: triangular


17. Hexagrammic Antiprism

Hexagrammic Antiprism
tessellation type: triangular


18. Icosahedron

Icosahedron
tessellation type: triangular


19. Icosidodecadodecahedron

Icosidodecadodecahedron
tessellation type: hexagonal


20. Icosidodecahedron with pyramids

Icosidodecahedron with pyramids
tessellation type: pentagonal and triangular


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21. Icosidodecahedron

Icosidodecahedron
tessellation type: pentagonal and triangular


22. Octahedron

Octahedron
tessellation type: triangular


23. Octahemioctahedron

Octahemioctahedron
tessellation type: hexagonal


24. Pentagonal Dypiramid

Pentagonal Dypiramid
tessellation type: triangular


25. Pentagrammic Antiprism

Pentagrammic Antiprism
tessellation type: triangular


26. Pentagrammic Crossed Antiprism

Pentagrammic Crossed Antiprism
tessellation type: triangular


27. Rhombidodecadodecahedron

Rhombidodecadodecahedron
tessellation type: pentagonal


28. Small Ditrigonal Icosidodecahedron

Small Ditrigonal Icosidodecahedron
tessellation type: triangular


29. Small Dodecahemicosahedron

Small Dodecahemicosahedron
tessellation type: hexagonal


30. Small Dodecicosahedron

Small Dodecicosahedron
tessellation type: hexagonal


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31. Small Icosicosidodecahedron

Small Icosicosidodecahedron
tessellation type: hexagonal


32. Small Stellated Truncated Dodecahedron

Small Stellated Truncated Dodecahedron
tessellation type: pentagonal


33. Snub Cube with pyramids

Snub Cube with pyramids
tessellation type: quadrilateral and triangular


34. Snub Cube

Snub Cube
tessellation type: quadrilateral and triangular


35. Snub Dodecahedron with pyramids

Snub Dodecahedron with pyramids
tessellation type: pentagonal and triangular


36. Snub Dodecahedron

Snub Dodecahedron
tessellation type: pentagonal and triangular


37. Stellated Pyramid

Stellated Pyramid
tessellation type: triangular


38. Tetrahedron

Tetrahedron
tessellation type: triangular


39. Triangular Dipyramid

Triangular Dipyramid
tessellation type: triangular


40. Triaugmented Triangular Prism

Triaugmented Triangular Prism
tessellation type: triangular


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41. Truncated Great Icosahedron

Truncated Great Icosahedron
tessellation type: hexagonal


42. Truncated Icosahedron with pyramids

Truncated Icosahedron with pyramids
tessellation type: hexagonal and pentagonal


43. Truncated Icosahedron

Truncated Icosahedron
tessellation type: hexagonal and pentagonal


44. Truncated Octahedron with pyramids

Truncated Octahedron with pyramids
tessellation type: quadrilateral and hexagonal


45. Truncated Octahedron

Truncated Octahedron
tessellation type: quadrilateral and hexagonal


46. Truncated Tetrahedron

Truncated Tetrahedron
tessellation type: hexagonal


47. Great Inverted Snub Icosidodecahedron

Great Inverted Snub Icosidodecahedron
tessellation type: pentagonal


48. Great Retrosnub Icosidodecahedron

Great Retrosnub Icosidodecahedron
tessellation type: pentagonal


49. Small Retrosnub Icosicosidodecahedron

Small Retrosnub Icosicosidodecahedron
tessellation type: pentagonal


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Licença Creative Commons
Flower of life 1: 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., "Flower of life 1: polyhedra tessellation and visualization with Virtual Reality". Available in: <https://paulohscwb.github.io/tessellation/flower1/>, April 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/