31. Pentagonal Gyrobicupola 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".