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Experimental tables of Johnson solids and other Convex polyhedra.

Operational family 1

[edit]

Simple elementary polyhedra and their compounds.

Pyramid Cupola Rotunda
Regular J1 J2 J3 J4 J5 J6
Triangular pyramid
(Tetrahedron)
Square pyramid Pentagonal pyramid Triangular cupola Square cupola Pentagonal cupola Pentagonal rotunda
Bipyramids Orthobicupola Orthobirotunda Orthocupolarotunda
J12 Regular J13 J27 J28 J30 J34 J32
Triangular bipyramid Square bipyramid
(octahedron)
Pentagonal bipyramid Triangular orthobicupola Square orthobicupola Pentagonal orthobicupola Pentagonal orthobirotunda Pentagonal orthocupolarotunda
Gyrobicupola Gyrobirotunda Gyrocupolarotunda
Semiregular J29 J31 Semiregular J33
Triangular gyrobicupola
(cuboctahedron)
Square gyrobicupola Pentagonal gyrobicupola Pentagonal gyrobirotunda
icosidodecahedron
Pentagonal gyrocupolarotunda
Prisms
Semiregular Regular Semiregular Semiregular Semiregular Semiregular
Triangular prism Square prism
(Cube)
Pentagonal prism Hexagonal prism Octagonal prism Decagonal prism
Elongated pyramids
(or augmented prisms)
Elongated cupola Elongated rotunda
J7 J8 J9 J18 J19 J20 J21
Elongated triangular pyramid Elongated square pyramid Elongated pentagonal pyramid Elongated triangular cupola Elongated square cupola Elongated pentagonal cupola Elongated pentagonal rotunda
Elongated bipyramids Elongated orthobicupola Elongated orthobirotunda Elongated orthocupolarotunda
J14 J15 J16 J35 Semiregular J38 J42 J40
Elongated triangular bipyramid Elongated square bipyramid Elongated pentagonal bipyramid Elongated triangular orthobicupola Elongated square orthobicupola
(rhombicuboctahedron)
Elongated pentagonal orthobicupola Elongated pentagonal orthobirotunda Elongated pentagonal orthocupolarotunda
Elongated gyrobicupola Elongated gyrobirotunda Elongated gyrocupolarotunda
J36 J37 J39 J43 J41
Elongated triangular gyrobicupola Elongated square gyrobicupola Elongated pentagonal gyrobicupola Elongated pentagonal gyrobirotunda Elongated pentagonal gyrocupolarotunda
Antiprisms
Semiregular Semiregular Semiregular Semiregular Semiregular
Square antiprism Pentagonal antiprism Hexagonal antiprism Octagonal antiprism Decagonal antiprism
Gyroelongated pyramids
(or augmented antiprisms)
Gyroelongated cupola Gyroelongated rotunda
J10 J11 J22 J23 J24 J25
Gyroelongated square pyramid Gyroelongated pentagonal pyramid Gyroelongated triangular cupola Gyroelongated square cupola Gyroelongated pentagonal cupola Gyroelongated pentagonal rotunda
Gyroelongated bipyramids Gyroelongated bicupola Gyroelongated birotunda Gyroelongated cupolarotunda
J17 Regular J44 J45 J46 J48 J47
Gyroelongated square bipyramid Gyroelongated pentagonal bipyramid
(icosahedron)
Gyroelongated triangular bicupola Gyroelongated square bicupola Gyroelongated pentagonal bicupola Gyroelongated pentagonal birotunda Gyroelongated pentagonal cupolarotunda

Operational family 2

[edit]

Augmented, diminished and gyrated polyhedra.

Modified prisms
Semiregular J49 J50 J51 J26
Triangular prism Augmented triangular prism Biaugmented triangular prism Triaugmented triangular prism Gyrobifastigium (gyrate triangular biprism)
Regular J8 (Repeat) J15 (Repeat)
Cube Augmented cube (Elongated square pyramid) Biaugmented cube (Elongated square bipyramid)
Semiregular J52 J53
Pentagonal prism Augmented pentagonal prism Biaugmented pentagonal prism
Semiregular J54 J55 J56 J57
Hexagonal prism Augmented hexagonal prism Parabiaugmented hexagonal prism Metabiaugmented hexagonal prism Triaugmented hexagonal prism
Modified Platonic solids
Regular J58 J59 J60 J61
Dodecahedron Augmented dodecahedron Parabiaugmented dodecahedron Metabiaugmented dodecahedron Triaugmented dodecahedron
Regular J11
(Repeated)
Semiregular J62 J63 J64
Icosahedron Diminished icosahedron
(Gyroelongated pentagonal pyramid)
Parabidiminished icosahedron
(Pentagonal antiprism)
Metabidiminished icosahedron Tridiminished icosahedron Augmented tridiminished icosahedron
Modified Archimedean solids
Semiregular J65
Truncated tetrahedron Augmented truncated tetrahedron
Semiregular J66 J67
Truncated cube Augmented truncated cube Biaugmented truncated cube
Semiregular J68 J69 J70 J71
Truncated dodecahedron Augmented truncated dodecahedron Parabiaugmented truncated dodecahedron Metabiaugmented truncated dodecahedron Triaugmented truncated dodecahedron
Semiregular J72 J73 J74 J75
Rhombicosidodecahedron Gyrate rhombicosidodecahedron Parabigyrate rhombicosidodecahedron Metabigyrate rhombicosidodecahedron Trigyrate rhombicosidodecahedron
J76 J77 J78 J79
Diminished rhombicosidodecahedron Paragyrate diminished rhombicosidodecahedron Metagyrate diminished rhombicosidodecahedron Bigyrate diminished rhombicosidodecahedron
J80 J81 J82 J83
Parabidiminished rhombicosidodecahedron Metabidiminished rhombicosidodecahedron Gyrate bidiminished rhombicosidodecahedron Tridiminished rhombicosidodecahedron