59 Stellations of the Icosahedron

The is no essential numbering scheme for these stellations. This list follows the order in Coxeter et al. [1938] and includes their alphabetic notation for the different models. For those which are included in Wenninger's Polyhedron Models, the figure number he uses is given here [in brackets].

The first 32 stellations are nonchiral --- they are unchanged when viewed in a mirror. The remaining 27 are chiral --- one version is included here and the other is available in your mirror.

Each is given in two renderings: monochrome and five-colored. As far as I know, no one before me has ever produced the full set of 59 stellations in the five-color pattern (neither with paper nor bits). So I may be the first to have seen them all, and you might be second.

• 1. A (icosahedron), [4] (solid color) (5 colors)
• 2. B (first stellation), [26] (solid color) (5 colors)
• 3. C (five octahedra), [23] (solid color) (5 colors)
• 4. D (solid color) (5 colors)
• 5. E (solid color) (5 colors)
• 6. F, [27] (solid color) (5 colors)
• 7. G (great icosahedron), [41] (solid color) (5 colors)
• 8. H (final stellation), [42] (solid color) (5 colors)
• 9. e1, [37] (solid color) (5 colors)
• 10. f1 (solid color) (5 colors)
• 11. g1, [29] (solid color) (5 colors)
• 12. e1f1 (solid color) (5 colors)
• 13. e1f1g1 (solid color) (5 colors)
• 14. f1g1 (solid color) (5 colors)
• 15. e2 (solid color) (5 colors)
• 16. f2 (the only disconnected one) (solid color) (5 colors)
• 17. g2 (solid color) (5 colors)
• 18. e2f2 (solid color) (5 colors)
• 19. e2f2g2 (solid color) (5 colors)
• 20. f2g2, [30] (solid color) (5 colors)
• 21. De1, [32] (solid color) (5 colors)
• 22. Ef1 (ten tetrahedra), [25] (solid color) (5 colors)
• 23. Fg1, [31] (solid color) (5 colors)
• 24. De1f1 (solid color) (5 colors)
• 25. De1f1g1 (solid color) (5 colors)
• 26. Ef1g1, [28] (solid color) (5 colors)
• 27. De2 (solid color) (5 colors)
• 28. Ef2 (solid color) (5 colors)
• 29. Fg2, [33] (solid color) (5 colors)
• 30. De2f2, [34] (solid color) (5 colors)
• 31. De2f2g2 (solid color) (5 colors)
• 32. Ef2g2 (solid color) (5 colors)
• 33. f1, [35] (solid color) (5 colors)
• 34. e1f1, [36] (solid color) (5 colors)
• 35. De1f1 (solid color) (5 colors)
• 36. f1g1 (solid color) (5 colors)
• 37. e1f1g1, [39] (solid color) (5 colors)
• 38. De1f1g1 (solid color) (5 colors)
• 39. f1g2 (solid color) (5 colors)
• 40. e1f1g2 (solid color) (5 colors)
• 41. De1f1g2 (solid color) (5 colors)
• 42. f1f2g2 (solid color) (5 colors)
• 43. e1f1f2g2 (solid color) (5 colors)
• 44. De1f1f2g2 (solid color) (5 colors)
• 45. e2f1, [40] (solid color) (5 colors)
• 46. De2f1 (solid color) (5 colors)
• 47. Ef1 (five tetrahedra), [24] (solid color) (5 colors) (anti-colored)
• 48. e2f1g1 (solid color) (5 colors)
• 49. De2f1g1 (solid color) (5 colors)
• 50. Ef1g1 (solid color) (5 colors)
• 51. e2f1f2, [38] (solid color) (5 colors)
• 52. De2f1f2 (solid color) (5 colors)
• 53. Ef1f2 (solid color) (5 colors) (anti-colored)
• 54. e2f1f2g1 (solid color) (5 colors)
• 55. De2f1f2g1 (solid color) (5 colors)
• 56. Ef1f2g1 (solid color) (5 colors)
• 57. e2f1f2g2 (solid color) (5 colors)
• 58. De2f1f2g2 (solid color) (5 colors)
• 59. Ef1f2g2 (solid color) (5 colors)

 Virtual Polyhedra, (c) 1996,George W. Hart