Look around the Graphics Lab

Regular, Semi-Regular Polyhedra, and thier Duals (first page)

Prisms, Anti-prisms, Pryamids, and related Polyhedra

Miscellanous Polyhedra: Deltahedra

Johnson Solids -- The other convex polyhedra with regular faces

Why I studied polyhedra, and Image Generation Techniques

Known Polyhedral Mathematical Formula

Data Sources and links for Polyhedral Data

- Cutting the solid into parts along co-planar edges (cutting off cupolas, and leaving a diminished object)
- Twisting the object along co-planar edges (gyro-rotation)
- Inserting a layer of squares (elongation) or triangles (gyro-elongation) along co-planar edges.
- Adding pyramids onto faces, (augmentation) if it remains convex.
- joining various cupolas together in various ways

j01_square_pyramid off vrml wikipedia |
j02_pentagonal_pyramid off vrml wikipedia |
j03_triangular_cupola off vrml wikipedia |

j04_square_cupola off vrml wikipedia |
j05_pentagonal_cupola off vrml wikipedia |
j06_pentagonal_rotunda off vrml wikipedia |

j07_elongated_triangular_pyramid off vrml wikipedia |
j08_elongated_square_pyramid off vrml wikipedia |
j09_elongated_pentagonal_pyramid off vrml wikipedia |

j10_gyroelongated_square_pyramid off vrml wikipedia |
j11_gyroelongated_pentagonal_pyramid off vrml wikipedia |

j12_triangular_dipyramid off vrml wikipedia |
j13_pentagonal_dipyramid off vrml wikipedia |
j14_elongated_triangular_dipyramid off vrml wikipedia |

j15_elongated_square_dipyramid off vrml wikipedia |
j16_elongated_pentagonal_dipyramid off vrml wikipedia |

j17_gyroelongated_square_dipyramid off vrml wikipedia |
j18_elongated_triangular_cupola off vrml wikipedia |

j19_elongated_square_cupola off vrml wikipedia |
j20_elongated_pentagonal_cupola off vrml wikipedia |

j21_elongated_pentagonal_rotunds off vrml wikipedia |
j22_gyroelongated_triangular_cupola off vrml wikipedia |

j23_gyroelongated_square_cupola off vrml wikipedia |
j24_gyroelongated_pentagonal_cupola off vrml wikipedia |

j25_gyroelongated_pentagonal_rotunda off vrml wikipedia |
j26_gyrobifastigium off vrml wikipedia |
j27_triangular_orthobicupola off vrml wikipedia |

j28_square_orthobicupola off vrml wikipedia |
j29_square_gyrobicupola off vrml wikipedia |
j30_pentagonal_orthobicupola off vrml wikipedia |

j31_pentagonal_gyrobicupola off vrml wikipedia |
j32_pentagonal_orthocupolarontunda off vrml wikipedia |
j33_pentagonal_gyrocupolarotunda off vrml wikipedia |

j34_pentagonal_orthobirotunda off vrml wikipedia |
j35_elongated_triangular_orthobicupola off vrml wikipedia |

j36_elongated_triangular_gyrobicupola off vrml wikipedia |
j37_elongated_square_gyrobicupola off vrml wikipedia |

j38_elongated_pentagonal_orthobicupola off vrml wikipedia |
j39_elongated_pentagonal_gyrobicupola off vrml wikipedia |

j40_elongated_pentagonal_orthocupolarotunda off vrml wikipedia |
j41_elongated_pentagonal_gyrocupolarotunda off vrml wikipedia |

j42_elongated_pentagonal_orthobirotunda off vrml wikipedia |
j43_elongated_pentagonal_gyrobirotunda off vrml wikipedia |

j44_gyroelongated_triangular_bicupola off vrml wikipedia |
j45_gyroelongated_square_bicupola off vrml wikipedia |

j46_gyroelongated_pentagonal_bicupola off vrml wikipedia |
j47_gyroelongated_pentagonal_cupolarotunda off vrml wikipedia |

j48_gyroelongated_pentagonal_birotunda off vrml wikipedia |
j49_augmented_triangular_prism off vrml wikipedia |

j50_biaugmented_triangular_prism off vrml wikipedia |
j51_triaugmented_triangular_prism off vrml wikipedia |

j52_augmented_pentagonal_prism off vrml wikipedia |
j53_biaugmented_pentagonal_prism off vrml wikipedia |

j54_augmented_hexagonal_prism off vrml wikipedia |
j55_parabiaugmented_hexagonal_prism off vrml wikipedia |

j56_metabiaugmented_hexagonal_prism off vrml wikipedia |
j57_triaugmented_hexagonal_prism off vrml wikipedia |

j58_augmented_dodecahedron off vrml wikipedia |
j59_parabiaugmented_dodecahedron off vrml wikipedia |

j60_metabiaugmented_dodecahedron off vrml wikipedia |
j61_triaugmented_dodecahedron off vrml wikipedia |

j62_metabidiminished_icosahedron off vrml wikipedia |
j63_tridiminished_icosahedron off vrml wikipedia |

j64_augmented_tridiminished_icosahedron off vrml wikipedia |
j65_augmented_truncated_tetrahedron off vrml wikipedia |

j66_augmented_truncated_cube off vrml wikipedia |
j67_biaugmented_truncated_cube off vrml wikipedia |

j68_augmented_truncated_dodecahedron off vrml wikipedia |
j69_parabiaugmented_truncated_dodecahedron off vrml wikipedia |

j70_metabiaugmented_truncated_dodecahedron off vrml wikipedia |
j71_triaugmented_truncated_dodecahedron off vrml wikipedia |

j72_gyrate_rhombicosidodecahedron off vrml wikipedia |
j73_parabigyrate_rhombicosidodecahedron off vrml wikipedia |

j74_metabigyrate_rhombicosidodecahedron off vrml wikipedia |
j75_trigyrate_rhombicosidodecahedron off vrml wikipedia |

j76_diminished_rhombicosidodecahedron off vrml wikipedia |
j77_paragyrate_diminished_rhombicosidodecahedron off vrml wikipedia |

j78_metagyrate_diminished_rhombicosidodecahedron off vrml wikipedia |

j79_bigyrate_diminished_rhombicosidodecahedron off vrml wikipedia |
j80_parabidiminished_rhombicosidodecahedron off vrml wikipedia |

j81_metabidiminished_rhombicosidodecahedron off vrml wikipedia |
j82_gyrate_bidiminished_rhombicosidodecahedron off vrml wikipedia |

j83_tridiminished_rhombicosidodecahedron off vrml wikipedia |

j84_snub_disphenoid off vrml wikipedia |
j85_snub_square_antiprism off vrml wikipedia |

j86_sphenocorona off vrml wikipedia |
j87_augmented_sphenocorona off vrml wikipedia |
j88_sphenomegacorona off vrml wikipedia |

j89_hebesphenomegacorona off vrml wikipedia |
j90_disphenocingulum off vrml wikipedia |

j91_bilunabirotunda off vrml wikipedia |
j92_triangular_hebesphenorotunda off vrml wikipedia |

Created: 30 April 2001

Updated: 18 May 2005

Author: Anthony Thyssen, <anthony@cit.gu.edu.au>

URL:

`http://www.cit.gu.edu.au/~anthony/graphics/polyhedra/`