82. Gyrate Bidiminished Rhombicosidodecahedron Keychain – 29. Johnson Solids Pendant and Keychain - 3D Print File for Geometric Keychain & Pendant - Girl's Fashion Accessories

Title: 29. Johnson Solids Pendant and Keychain - 3D Print File for Geometric Keychain & Pendant - Girl's Fashion Accessories
Family List:
01. Square Pyramid
02. Pentagonal Pyramid
03. Triangular Cupola
04. Square Cupola
05. Pentagonal Cupola
06. Pentagonal Rotunda
07. Elongated Triangular Pyramid
08. Elongated Square Pyramid
09. Elongated Pentagonal Pyramid
10. Gyroelongated Square Pyramid
11. Gyroelongated Pentagonal Pyramid
12. Triangular Dipyramid
13. Pentagonal Dipyramid
14. Elongated Triangular Dipyramid
15. Elongated Square Dipyramid
16. Elongated Pentagonal Dipyramid
17. Gyroelongated Square Dipyramid
18. Elongated Triangular Cupola
19. Elongated Square Cupola
20. Elongated Pentagonal Cupola
21. Elongated Pentagonal Rotunda
22. Gyroelongated Triangular Cupola
23. Gyroelongated Square Cupola
24. Gyroelongated Pentagonal Cupola
25. Gyroelongated Pentagonal Rotunda
26. Gyrobifastigium
27. Triangular Orthobicupola
28. Square Orthobicupola
29. Square Gyrobicupola
30. Pentagonal Orthobicupola
31. Pentagonal Gyrobicupola
32. Pentagonal Orthocupolarotunda
33. Pentagonal Gyrocupolarotunda
34. Pentagonal Orthobirotunda
35. Elongated Triangular Orthobicupola
36. Elongated Triangular Gyrobicupola
37. Elongated Square Gyrobicupola
38. Elongated Pentagonal Orthobicupola
39. Elongated Pentagonal Gyrobicupola
40. Elongated Pentagonal Orthocupolarotunda
41. Elongated Pentagonal Gyrocupolarotunda
42. Elongated Pentagonal Orthobirotunda
43. Elongated Pentagonal Gyrobirotunda
44. Gyroelongated Triangular Bicupola
45. Gyroelongated Square Bicupola
46. Gyroelongated Pentagonal Bicupola
47. Gyroelongated Pentagonal Cupolarotunda
48. Gyroelongated Pentagonal Birotunda
49. Augmented Triangular Prism
50. Biaugmented Triangular Prism
51. Triaugmented Triangular Prism
52. Augmented Pentagonal Prism
53. Biaugmented Pentagonal Prism
54. Augmented Hexagonal Prism
55. Parabiaugmented Hexagonal Prism
56. Metabiaugmented Hexagonal Prism
57. Triaugmented Hexagonal Prism
58. Augmented Dodecahedron
59. Parabiaugmented Dodecahedron
60. Metabiaugmented Dodecahedron
61. Triaugmented Dodecahedron
62. Metabidiminished Icosahedron
63. Tridiminished Icosahedron
64. Augmented Tridiminished Icosahedron
65. Augmented Truncated Tetrahedron
66. Augmented Truncated Cube
67. Biaugmented Truncated Cube
68. Augmented Truncated Dodecahedron
69. Parabiaugmented Truncated Dodecahedron
70. Metabiaugmented Truncated Dodecahedron
71. Triaugmented Truncated Dodecahedron
72. Gyrate Rhombicosidodecahedron
73. Parabigyrate Rhombicosidodecahedron
74. Metabigyrate Rhombicosidodecahedron
75. Trigyrate Rhombicosidodecahedron
76. Diminished Rhombicosidodecahedron
77. Paragyrate Diminished Rhombicosidodecahedron
78. Metagyrate Diminished Rhombicosidodecahedron
79. Bigyrate Diminished Rhombicosidodecahedron
80. Parabidiminished Rhombicosidodecahedron
81. Metabidiminished Rhombicosidodecahedron
82. Gyrate Bidiminished Rhombicosidodecahedron
83. Tridiminished Rhombicosidodecahedron
84. Snub Disphenoid
85. Snub Square Antiprism
86. Sphenocorona
87. Augmented Sphenocorona
88. Sphenomegacorona
89. Hebesphenomegacorona
90. Disphenocingulum
91. Bilunabirotunda
92. Triangular Hebesphenorotunda

1. Johnson Solids Pendant and Keychain – Mathematical Geometry in a Compact Form

This distinctive design celebrates the complete family of Johnson Solids, elegantly rendered as a precise stencil pattern perfect for 3D printing. As a pendant or keychain, it brings the diverse and fascinating forms of these convex polyhedra into wearable mathematical art. Each model highlights the unique combination of regular polygonal faces that define the Johnson Solids, creating an intricate open structure full of geometric elegance.
Johnson Solids are strictly convex polyhedra composed of regular faces (triangles, squares, pentagons, etc.) that are neither Platonic, Archimedean, prisms, nor antiprisms. With exactly 92 known examples, this series captures the rich variety and surprising symmetry found in these less common but beautiful polyhedra, making the stencil version lightweight yet visually complex.
Ideal for serious geometry enthusiasts, mathematicians, makers, and collectors, this pendant and keychain is a wonderful conversation starter and a thoughtful gift. Print it in metallic, glow-in-the-dark, or colored filaments to create a unique accessory that showcases one of the most interesting chapters in modern polyhedral geometry.

Originator of the Geometry
The Johnson Solids were systematically enumerated and described by American mathematician Norman W. Johnson in 1966. He published the complete list of 92 solids in the paper "Convex Polyhedra with Regular Faces".