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  "path": "/en/3d-model/jewelry/31-pentagonal-gyrobicupola-keychain-29-johnson-solids-pendant-and-keychain",
  "publishedAt": "2026-04-22T02:31:05.000Z",
  "site": "https://cults3d.com",
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  "textContent": "Title: 29. Johnson Solids Pendant and Keychain - 3D Print File for Geometric Keychain & Pendant - Girl's Fashion Accessories \nFamily List:\n01. Square Pyramid\n02. Pentagonal Pyramid\n03. Triangular Cupola \n04. Square Cupola\n05. Pentagonal Cupola\n06. Pentagonal Rotunda\n07. Elongated Triangular Pyramid\n08. Elongated Square Pyramid\n09. Elongated Pentagonal Pyramid\n10. Gyroelongated Square Pyramid\n11. Gyroelongated Pentagonal Pyramid\n12. Triangular Dipyramid\n13. Pentagonal Dipyramid\n14. Elongated Triangular Dipyramid\n15. Elongated Square Dipyramid\n16. Elongated Pentagonal Dipyramid\n17. Gyroelongated Square Dipyramid\n18. Elongated Triangular Cupola\n19. Elongated Square Cupola\n20. Elongated Pentagonal Cupola\n21. Elongated Pentagonal Rotunda\n22. Gyroelongated Triangular Cupola\n23. Gyroelongated Square Cupola\n24. Gyroelongated Pentagonal Cupola\n25. Gyroelongated Pentagonal Rotunda\n26. Gyrobifastigium\n27. Triangular Orthobicupola\n28. Square Orthobicupola\n29. Square Gyrobicupola\n30. Pentagonal Orthobicupola\n31. Pentagonal Gyrobicupola\n32. Pentagonal Orthocupolarotunda\n33. Pentagonal Gyrocupolarotunda\n34. Pentagonal Orthobirotunda\n35. Elongated Triangular Orthobicupola\n36. Elongated Triangular Gyrobicupola\n37. Elongated Square Gyrobicupola\n38. Elongated Pentagonal Orthobicupola\n39. Elongated Pentagonal Gyrobicupola\n40. Elongated Pentagonal Orthocupolarotunda\n41. Elongated Pentagonal Gyrocupolarotunda\n42. Elongated Pentagonal Orthobirotunda\n43. Elongated Pentagonal Gyrobirotunda\n44. Gyroelongated Triangular Bicupola\n45. Gyroelongated Square Bicupola\n46. Gyroelongated Pentagonal Bicupola\n47. Gyroelongated Pentagonal Cupolarotunda\n48. Gyroelongated Pentagonal Birotunda\n49. Augmented Triangular Prism\n50. Biaugmented Triangular Prism\n51. Triaugmented Triangular Prism\n52. Augmented Pentagonal Prism\n53. Biaugmented Pentagonal Prism\n54. Augmented Hexagonal Prism\n55. Parabiaugmented Hexagonal Prism\n56. Metabiaugmented Hexagonal Prism\n57. Triaugmented Hexagonal Prism\n58. Augmented Dodecahedron\n59. Parabiaugmented Dodecahedron\n60. Metabiaugmented Dodecahedron\n61. Triaugmented Dodecahedron\n62. Metabidiminished Icosahedron\n63. Tridiminished Icosahedron\n64. Augmented Tridiminished Icosahedron\n65. Augmented Truncated Tetrahedron\n66. Augmented Truncated Cube\n67. Biaugmented Truncated Cube\n68. Augmented Truncated Dodecahedron\n69. Parabiaugmented Truncated Dodecahedron\n70. Metabiaugmented Truncated Dodecahedron\n71. Triaugmented Truncated Dodecahedron\n72. Gyrate Rhombicosidodecahedron\n73. Parabigyrate Rhombicosidodecahedron\n74. Metabigyrate Rhombicosidodecahedron\n75. Trigyrate Rhombicosidodecahedron\n76. Diminished Rhombicosidodecahedron\n77. Paragyrate Diminished Rhombicosidodecahedron\n78. Metagyrate Diminished Rhombicosidodecahedron\n79. Bigyrate Diminished Rhombicosidodecahedron\n80. Parabidiminished Rhombicosidodecahedron\n81. Metabidiminished Rhombicosidodecahedron\n82. Gyrate Bidiminished Rhombicosidodecahedron\n83. Tridiminished Rhombicosidodecahedron\n84. Snub Disphenoid\n85. Snub Square Antiprism\n86. Sphenocorona\n87. Augmented Sphenocorona\n88. Sphenomegacorona\n89. Hebesphenomegacorona\n90. Disphenocingulum\n91. Bilunabirotunda\n92. Triangular Hebesphenorotunda\n\n\n29. Johnson Solids Pendant and Keychain – Mathematical Geometry in a Compact Form\n\nThis 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.\nJohnson 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.\nIdeal 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.\n\nOriginator of the Geometry\nThe 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\".",
  "title": "31. Pentagonal Gyrobicupola Keychain – 29. Johnson Solids Pendant and Keychain - 3D Print File for Geometric Keychain & Pendant - Girl's Fashion Accessories"
}