... and Zalgaller (1969) proved that there exist exactly 92 Johnson solids in all

Square pyramid - Pentagonal pyramid - Triangular cupola - Square cupola - Pentagonal cupola - Pentagonal rotunda - Elongated triangular pyramid - Elongated square pyramid - Elongated pentagonal pyramid - Gyroelongated square pyramid - Gyroelongated pentagonal pyramid - Triangular dipyramid - Pentagonal dipyramid - Elongated triangular dipyramid - Elongated square dipyramid - Elongated pentagonal dipyramid - Gyroelongated square dipyramid - Elongated triangular cupola - Elongated square cupola - Elongated pentagonal cupola - Elongated pentagonal rotunda - Gyroelongated triangular cupola - Gyroelongated square cupola - Gyroelongated pentagonal cupola - Gyroelongated pentagonal rotunda - Gyrobifastigium - Triangular orthobicupola - Square orthobicupola - Square gyrobicupola - Pentagonal orthobicupola - Pentagonal gyrobicupola - Pentagonal orthocupolarotunda - Pentagonal gyrocupolarotunda - Pentagonal orthobirotunda - Elongated triangular orthobicupola - Elongated triangular gyrobicupola - Elongated square gyrobicupola - Elongated pentagonal orthobicupola - Elongated pentagonal gyrobicupola - Elongated pentagonal orthocupolarotunda - Elongated pentagonal gyrocupolarotunda - Elongated pentagonal orthobirotunda - Elongated pentagonal gyrobirotunda - Gyroelongated triangular bicupola - Gyroelongated square bicupola - Gyroelongated pentagonal bicupola - Gyroelongated pentagonal cupolarotunda - Gyroelongated pentagonal birotunda - Augmented triangular prism - Biaugmented triangular prism - Triaugmented triangular prism - Augmented pentagonal prism - Biaugmented pentagonal prism - Augmented hexagonal prism - Parabiaugmented hexagonal prism - Metabiaugmented hexagonal prism - Triaugmented hexagonal prism - Augmented dodecahedron - Parabiaugmented dodecahedron - Metabiaugmented dodecahedron - Triaugmented dodecahedron - Metabidiminished icosahedron - Tridiminished icosahedron - Augmented tridiminished icosahedron - Augmented truncated tetrahedron - Augmented truncated cube - Biaugmented truncated cube - Augmented truncated dodecahedron - Parabiaugmented truncated dodecahedron - Metabiaugmented truncated dodecahedron - Triaugmented truncated dodecahedron - Gyrate rhombicosidodecahedron - Parabigyrate rhombicosidodecahedron - Metabigyrate rhombicosidodecahedron - Trigyrate rhombicosidodecahedron - Diminished rhombicosidodecahedron - Paragyrate diminished rhombicosidodecahedron - Metagyrate diminished rhombicosidodecahedron - Bigyrate diminished rhombicosidodecahedron - Parabidiminished rhombicosidodecahedron - Metabidiminished rhombicosidodecahedron - Gyrate bidiminished rhombicosidodecahedron - Tridiminished rhombicosidodecahedron - Snub disphenoid - Snub square antiprism - Sphenocorona - Augmented sphenocorona - Sphenomegacorona - Hebesphenomegacorona - Disphenocingulum - Bilunabirotunda - Triangular hebesphenorotunda.