Polyhedra 3

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

Dragon fractals of non-convex polyhedra

The dragon curve belongs to the family of self-similar fractal curves, which can be approximated by recursive methods. The dragon curve is probably most commonly thought of as the shape that is generated from a strip of paper repeatedly folded in half.
This work shows non-convex polyhedra forming dragon fractals, modeled for visualization in Virtual Reality.

3D Models | Home

RV de Arquimedes

3D models

1. Iris octagonal antitoroid

$Iris octagonal antitoroid dragon fractal$
Applying the construction principle of the dragon curve with the Iris octagonal antitoroid, we obtain an iris octagonal antitoroid dragon fractal. In the first order of construction of the fractal, we construct two new iris octagonal antitoroids corresponding to one original polyhedron. In this example, we have solid representations in orders from 0 to 10.

Dragon fractals of non-convex 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., "Dragon fractals of non-convex polyhedra: visualization with Virtual Reality". Available in: <https://paulohscwb.github.io/polyhedra3/dragon-nonconvex/>, November 2025.

References:
Weisstein, Eric W. “Archimedean Solid” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/ArchimedeanSolid.html
McCooey, D. I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/

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

Dragon fractals of non-convex polyhedra

3D models

1. Iris octagonal antitoroid

2. Escher solid

3. Great disdyakis dodecahedron

4. Great dodecahedron

5. Great icosahedron

6. Great pentakis dodecahedron

7. Great rhombic triacontahedron

8. Great stellapentakis dodecahedron

9. Great stellated dodecahedron

10. Great triakis icosahedron

11. Great triakis octahedron

12. Heptagrammic dipyramid

13. Hexagonal antiprism trapezohedron toroid

14. Hexagonal trapezohedron antiprism toroid

15. Truncated great icosahedron

16. Hexagonal trapezohedron toroid

17. Icosidodecadodecahedron

18. Medial inverted pentagonal hexecontahedron

19. Medial rhombic triacontahedron

20. Medial triambic icosahedron

21. Small stellated dodecahedron

22. Regular tetragonal toroid

23. Rhombicosacron

24. Rhombicosahedron

25. Small ditrigonal dodecacronic hexecontahedron

26. Small hexacronic icositetrahedron

27. Small rhombidodecacron

28. Cubitruncated cuboctahedron

29. Great cubicuboctahedron

30. Great dirhombicosidodecacron

31. Great dodecahemidodecacron

32. Great dodecicosacron

33. Great rhombihexahedron

34. Great truncated cuboctahedron

35. Jessens orthogonal icosahedron

36. Hexagonal tetragonal stellated toroid

37. Octagonal tetragonal stellated toroid

38. Decagonal tetragonal stellated toroid

39. Enneagonal tetragonal stellated toroid

40. Heptagonal tetragonal stellated toroid

41. Tetragonal regular toroid

42. Hexagonal toroid

43. Hexagonal toroid

44. Hexagonal toroid

45. Hexagonal toroid

46. Hexagonal toroid

47. Hexagonal toroid

48. Hexagonal toroid

49. Hexagonal toroid

How to cite this work: