Mostrar código-fonte de Sólidos de Johnson

{{sem-notas}}
Um '''sólido de Johnson''' é um [[Poliedro]] onde as faces são [[Polígono regular|polígonos regulares]] e que não são [[Sólidos platônicos|sólidos de Platão]], nem um [[Sólidos de Arquimedes|sólido de Arquimedes]], nem um [[prisma]] nem um [[antiprisma]].

[[Norman Johnson (matemático)|Norman Johnson]] elaborou uma lista de 92 sólidos em [[1966]], nomeou e numerou todos. Ele não provou que eram apenas 92, mas fazia ideia que eram apenas 92. [[Victor Zalgaller]] provou em [[1969]] que Johnson estava correto.

== Lista completa ==

*V: número de vértices,
*A: número de arestas,
*F: número total de faces, onde:
**F<sub>3</sub>: número de [[triângulo]]s;
**F<sub>4</sub>: número de [[quadrado]]s;
**F<sub>5</sub>: número de [[pentágono]]s;
**F<sub>6</sub>: número de [[hexágono]]s;
**F<sub>8</sub>: número de [[octógono]]s;
**F<sub>10</sub>: número de [[decágono]]s.

{| class="wikitable sortable"
|-
! width="10pt"|J<sub>n</sub>
! width="250pt"|Nome
! width="70pt"|Planificação
! width="70pt"|Imagem
! width="12pt"|V
! width="12pt"|A
! width="12pt"|F
! width="10pt"|F<sub>3</sub>
! width="10pt"|F<sub>4</sub>
! width="10pt"|F<sub>5</sub>
! width="10pt"|F<sub>6</sub>
! width="10pt"|F<sub>8</sub>
! width="10pt"|F<sub>10</sub>
! width="30pt"|Simetría
|-
| 1
|[[pirâmide quadrada]]
| [[Image:Johnson solid 1 net.png|80px]]
| [[Image:Square pyramid.png|80px]]
| 5
| 8
| 5
| 4
| 1
|
|
|
|
| ''C''<sub>4v</sub>
|-
| 2
|[[pirâmide pentagonal]]
| [[Image:Johnson solid 2 net.png|80px]]
| [[Image:Pentagonal pyramid.png|80px]]
| 6
| 10
| 6
| 5
|
| 1
|
|
|
| ''C''<sub>5v</sub>
|-
| 3
|[[cúpula triangular]]
| [[Image:Johnson solid 3 net.png|80px]]
| [[Image:Triangular cupola.png|80px]]
| 9
| 15
| 8
| 4
| 3
|
| 1
|
|
| ''C''<sub>3v</sub>
|-
| 4
|[[cúpula quadrada]]
| [[Image:Johnson solid 4 net.png|80px]]
| [[Image:Square cupola.png|80px]]
| 12
| 20
| 10
| 4
| 5
|
|
| 1
|
| ''C''<sub>4v</sub>
|-
| 5
|[[cúpula pentagonal]]
| [[Image:Johnson solid 5 net.png|80px]]
| [[Image:Pentagonal cupola.png|80px]]
| 15
| 25
| 12
| 5
| 5
| 1
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 6
|[[rotunda pentagonal]]
| [[Image:Johnson solid 6 net.png|80px]]
| [[Image:Pentagonal rotunda.png|80px]]
| 20
| 35
| 17
| 10
|
| 6
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 7
|[[pirâmide triangular alongada]]
| [[Image:Johnson solid 7 net.png|80px]]
| [[Image:Elongated triangular pyramid.png|80px]]
| 7
| 12
| 7
| 4
| 3
|
|
|
|
| ''C''<sub>3v</sub>
|-
| 8
|[[pirâmide quadrada alongada]]
| [[Image:Johnson solid 8 net.png|80px]]
| [[Image:Elongated square pyramid.png|80px]]
| 9
| 16
| 9
| 4
| 5
|
|
|
|
| ''C''<sub>4v</sub>
|-
| 9
|[[pirâmide pentagonal alongada]]
| [[Image:Johnson solid 9 net.png|80px]]
| [[Image:Elongated pentagonal pyramid.png|80px]]
| 11
| 20
| 11
| 5
| 5
| 1
|
|
|
| ''C''<sub>5v</sub>
|-
| 10
|[[pirâmide quadrada giralongada]]
| [[Image:Johnson solid 10 net.png|80px]]
| [[Image:Gyroelongated square pyramid.png|80px]]
| 9
| 20
| 13
| 12
| 1
|
|
|
|
| ''C''<sub>4v</sub>
|-
| 11
|[[pirâmide pentagonal giralongada]]
| [[Image:Johnson solid 11 net.png|80px]]
| [[Image:Gyroelongated pentagonal pyramid.png|80px]]
| 11
| 25
| 16
| 15
|
| 1
|
|
|
| ''C''<sub>5v</sub>
|-
| 12
|[[bipirâmide triangular]]
| [[Image:Johnson solid 12 net.png|80px]]
| [[Image:Triangular dipyramid.png|80px]]
| 5
| 9
| 6
| 6
|
|
|
|
|
| ''D''<sub>3h</sub>
|-
| 13
|[[bipirâmide pentagonal]]
| [[Image:Johnson solid 13 net.png|80px]]
| [[Image:Pentagonal dipyramid.png|80px]]
| 7
| 15
| 10
| 10
|
|
|
|
|
| ''D''<sub>5h</sub>
|-
| 14
|[[bipirâmide triangular alongada]]
| [[Image:Johnson solid 14 net.png|80px]]
| [[Image:Elongated triangular dipyramid.png|80px]]
| 8
| 15
| 9
| 6
| 3
|
|
|
|
| ''D''<sub>3h</sub>
|-
| 15
|[[bipirâmide quadrada alongada]]
| [[Image:Johnson solid 15 net.png|80px]]
| [[Image:Elongated square dipyramid.png|80px]]
| 10
| 20
| 12
| 8
| 4
|
|
|
|
| ''D''<sub>4h</sub>
|-
| 16
|[[bipirâmide pentagonal alongada]]
| [[Image:Johnson solid 16 net.png|80px]]
| [[Image:Elongated pentagonal dipyramid.png|80px]]
| 12
| 25
| 15
| 10
| 5
|
|
|
|
| ''D''<sub>5h</sub>
|-
| 17
|[[bipirâmide quadrada giralongada]]
| [[Image:Johnson solid 17 net.png|80px]]
| [[Image:Gyroelongated square dipyramid.png|80px]]
| 10
| 24
| 16
| 16
|
|
|
|
|
| ''D''<sub>4d</sub>
|-
| 18
|[[cúpula triangular alongada]]
| [[Image:Johnson solid 18 net.png|80px]]
| [[Image:Elongated triangular cupola.png|80px]]
| 15
| 27
| 14
| 4
| 9
|
| 1
|
|
| ''C''<sub>3v</sub>
|-
| 19
|[[cúpula quadrada alongada]]
| [[Image:Johnson solid 19 net.png|80px]]
| [[Image:Elongated square cupola.png|80px]]
| 20
| 36
| 18
| 4
| 13
|
|
| 1
|
| ''C''<sub>4v</sub>
|-
| 20
|[[cúpula pentagonal alongada]]
| [[Image:Johnson solid 20 net.png|80px]]
| [[Image:Elongated pentagonal cupola.png|80px]]
| 25
| 45
| 22
| 5
| 15
| 1
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 21
|[[rotunda pentagonal alongada]]
| [[Image:Johnson solid 21 net.png|80px]]
| [[Image:Elongated pentagonal rotunda.png|80px]]
| 30
| 55
| 27
| 10
| 10
| 6
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 22
|[[cúpula triangular giralongada]]
| [[Image:Johnson solid 22 net.png|80px]]
| [[Image:Gyroelongated triangular cupola.png|80px]]
| 15
| 33
| 20
| 16
| 3
|
| 1
|
|
| ''C''<sub>3v</sub>
|-
| 23
|[[cúpula quadrada giralongada]]
| [[Image:Johnson solid 23 net.png|80px]]
| [[Image:Gyroelongated square cupola.png|80px]]
| 20
| 44
| 26
| 20
| 5
|
|
| 1
|
| ''C''<sub>4v</sub>
|-
| 24
|[[cúpula pentagonal giralongada]]
| [[Image:Johnson solid 24 net.png|80px]]
| [[Image:Gyroelongated pentagonal cupola.png|80px]]
| 25
| 55
| 32
| 25
| 5
| 1
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 25
|[[rotunda pentagonal giralongada]]
| [[Image:Johnson solid 25 net.png|80px]]
| [[Image:Gyroelongated pentagonal rotunda.png|80px]]
| 30
| 65
| 37
| 30
|
| 6
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 26
|[[girobiprisma triangular]]
| [[Image:Johnson solid 26 net.png|80px]]
| [[Image:Gyrobifastigium.png|80px]]
| 8
| 14
| 8
| 4
| 4
|
|
|
|
| ''D''<sub>2d</sub>
|-
| 27
|[[ortobicúpula triangular]]
| [[Image:Johnson solid 27 net.png|80px]]
| [[Image:Triangular orthobicupola.png|80px]]
| 12
| 24
| 14
| 8
| 6
|
|
|
|
| ''D''<sub>3h</sub>
|-
| 28
|[[ortobicúpula quadrada]]
| [[Image:Johnson solid 28 net.png|80px]]
| [[Image:Square orthobicupola.png|80px]]
| 16
| 32
| 18
| 8
| 10
|
|
|
|
| ''D''<sub>4h</sub>
|-
| 29
|[[girobicúpula quadrada]]
| [[Image:Johnson solid 29 net.png|80px]]
| [[Image:Square gyrobicupola.png|80px]]
| 16
| 32
| 18
| 8
| 10
|
|
|
|
| ''D''<sub>4d</sub>
|-
| 30
|[[ortobicúpula pentagonal]]
| [[Image:Johnson solid 30 net.png|80px]]
| [[Image:Pentagonal orthobicupola.png|80px]]
| 20
| 40
| 22
| 10
| 10
| 2
|
|
|
| ''D''<sub>5h</sub>
|-
| 31
|[[girobicúpula pentagonal]]
| [[Image:Johnson solid 31 net.png|80px]]
| [[Image:Pentagonal gyrobicupola.png|80px]]
| 20
| 40
| 22
| 10
| 10
| 2
|
|
|
| ''D''<sub>5d</sub>
|-
| 32
|[[ortocúpula-rotonde pentagonal]]
| [[Image:Johnson solid 32 net.png|80px]]
| [[Image:Pentagonal orthocupolarotunda.png|80px]]
| 25
| 50
| 27
| 15
| 5
| 7
|
|
|
| ''C''<sub>5v</sub>
|-
| 33
|[[girocúpula-rotonde pentagonal]]
| [[Image:Johnson solid 33 net.png|80px]]
| [[Image:Pentagonal gyrocupolarotunda.png|80px]]
| 25
| 50
| 27
| 15
| 5
| 7
|
|
|
| ''C''<sub>5v</sub>
|-
| 34
|[[ortobirotonde pentagonal]]
| [[Image:Johnson solid 34 net.png|80px]]
| [[Image:Pentagonal orthobirotunda.png|80px]]
| 30
| 60
| 32
| 20
|
| 12
|
|
|
| ''D''<sub>5h</sub>
|-
| 35
|[[ortobicúpula triangular alongada]]
| [[Image:Johnson solid 35 net.png|80px]]
| [[Image:Elongated triangular orthobicupola.png|80px]]
| 18
| 36
| 20
| 8
| 12
|
|
|
|
| ''D''<sub>3h</sub>
|-
| 36
|[[girobicúpula triangular alongada]]
| [[Image:Johnson solid 36 net.png|80px]]
| [[Image:Elongated triangular gyrobicupola.png|80px]]
| 18
| 36
| 20
| 8
| 12
|
|
|
|
| ''D''<sub>3d</sub>
|-
| 37
|[[girobicúpula quadrada alongada]]
| [[Image:Johnson solid 37 net.png|80px]]
| [[Image:Elongated square gyrobicupola.png|80px]]
| 24
| 48
| 26
| 8
| 18
|
|
|
|
| ''D''<sub>4d</sub>
|-
| 38
|[[ortobicúpula pentagonal alongada]]
| [[Image:Johnson solid 38 net.png|80px]]
| [[Image:Elongated pentagonal orthobicupola.png|80px]]
| 30
| 60
| 32
| 10
| 20
| 2
|
|
|
| ''D''<sub>5h</sub>
|-
| 39
|[[girobicúpula pentagonal alongada]]
| [[Image:Johnson solid 39 net.png|80px]]
| [[Image:Elongated pentagonal gyrobicupola.png|80px]]
| 30
| 60
| 32
| 10
| 20
| 2
|
|
|
| ''D''<sub>5d</sub>
|-
| 40
|[[ortocúpula-rotonde pentagonal alongada]]
| [[Image:Johnson solid 40 net.png|80px]]
| [[Image:Elongated pentagonal orthocupolarotunda.png|80px]]
| 35
| 70
| 37
| 15
| 15
| 7
|
|
|
| ''C''<sub>5v</sub>
|-
| 41
|[[girocúpula-rotonde pentagonal alongada]]
| [[Image:Johnson solid 41 net.png|80px]]
| [[Image:Elongated pentagonal gyrocupolarotunda.png|80px]]
| 35
| 70
| 37
| 15
| 15
| 7
|
|
|
| ''C''<sub>5v</sub>
|-
| 42
|[[ortobirotonde pentagonal alongada]]
| [[Image:Johnson solid 42 net.png|80px]]
| [[Image:Elongated pentagonal orthobirotunda.png|80px]]
| 40
| 80
| 42
| 20
| 10
| 12
|
|
|
| ''D''<sub>5h</sub>
|-
| 43
|[[girobirotonde pentagonal alongada]]
| [[Image:Johnson solid 43 net.png|80px]]
| [[Image:Elongated pentagonal gyrobirotunda.png|80px]]
| 40
| 80
| 42
| 20
| 10
| 12
|
|
|
| ''D''<sub>5d</sub>
|-
| 44
|[[bicúpula triangular giralongada]]
| [[Image:Johnson solid 44 net.png|80px]]
| [[Image:Gyroelongated triangular bicupola.png|80px]]
| 18
| 42
| 26
| 20
| 6
|
|
|
|
| ''D''<sub>3</sub>
|-
| 45
|[[bicúpula quadrada giralongada]]
| [[Image:Johnson solid 45 net.png|80px]]
| [[Image:Gyroelongated square bicupola.png|80px]]
| 24
| 56
| 34
| 24
| 10
|
|
|
|
| ''D''<sub>4</sub>
|-
| 46
|[[bicúpula pentagonal giralongada]]
| [[Image:Johnson solid 46 net.png|80px]]
| [[Image:Gyroelongated pentagonal bicupola.png|80px]]
| 30
| 70
| 42
| 30
| 10
| 2
|
|
|
| ''D''<sub>5</sub>
|-
| 47
|[[cúpula-rotonde pentagonal giralongada]]
| [[Image:Johnson solid 47 net.png|80px]]
| [[Image:Gyroelongated pentagonal cupolarotunda.png|80px]]
| 35
| 80
| 47
| 35
| 5
| 7
|
|
|
| ''C''<sub>5</sub>
|-
| 48
|[[birotonde pentagonal giralongada]]
| [[Image:Johnson solid 48 net.png|80px]]
| [[Image:Gyroelongated pentagonal birotunda.png|80px]]
| 40
| 90
| 52
| 40
|
| 12
|
|
|
| ''D''<sub>5</sub>
|-
| 49
|[[prisma triangular aumentado]]
| [[Image:Johnson solid 49 net.png|80px]]
| [[Image:Augmented triangular prism.png|80px]]
| 7
| 13
| 8
| 6
| 2
|
|
|
|
| ''C''<sub>2v</sub>
|-
| 50
|[[prisma triangular biaumentado]]
| [[Image:Johnson solid 50 net.png|80px]]
| [[Image:Biaugmented triangular prism.png|80px]]
| 8
| 17
| 11
| 10
| 1
|
|
|
|
| ''C''<sub>2v</sub>
|-
| 51
|[[prisma triangular triaumentado]]
| [[Image:Johnson solid 51 net.png|80px]]
| [[Image:Triaugmented triangular prism.png|80px]]
| 9
| 21
| 14
| 14
|
|
|
|
|
| ''D''<sub>3h</sub>
|-
| 52
|[[prisma pentagonal aumentado]]
| [[Image:Johnson solid 52 net.png|80px]]
| [[Image:Augmented pentagonal prism.png|80px]]
| 11
| 19
| 10
| 4
| 4
| 2
|
|
|
| ''C''<sub>2v</sub>
|-
| 53
|[[prisma pentagonal biaumentado]]
| [[Image:Johnson solid 53 net.png|80px]]
| [[Image:Biaugmented pentagonal prism.png|80px]]
| 12
| 23
| 13
| 8
| 3
| 2
|
|
|
| ''C''<sub>2v</sub>
|-
| 54
|[[prisma hexagonal aumentado]]
| [[Image:Johnson solid 54 net.png|80px]]
| [[Image:Augmented hexagonal prism.png|80px]]
| 13
| 22
| 11
| 4
| 5
|
| 2
|
|
| ''C''<sub>2v</sub>
|-
| 55
|[[prisma hexagonal parabiaumentado]]
| [[Image:Johnson solid 55 net.png|80px]]
| [[Image:Parabiaugmented hexagonal prism.png|80px]]
| 14
| 26
| 14
| 8
| 4
|
| 2
|
|
| ''D''<sub>2h</sub>
|-
| 56
|[[prisma hexagonal metabiaumentado]]
| [[Image:Johnson solid 56 net.png|80px]]
| [[Image:Metabiaugmented hexagonal prism.png|80px]]
| 14
| 26
| 14
| 8
| 4
|
| 2
|
|
| ''C''<sub>2v</sub>
|-
| 57
|[[prisma hexagonal triaumentado]]
| [[Image:Johnson solid 57 net.png|80px]]
| [[Image:Triaugmented hexagonal prism.png|80px]]
| 15
| 30
| 17
| 12
| 3
|
| 2
|
|
| ''D''<sub>3h</sub>
|-
| 58
|[[dodecaedro aumentado]]
| [[Image:Johnson solid 58 net.png|80px]]
| [[Image:Augmented dodecahedron.png|80px]]
| 21
| 35
| 16
| 5
|
| 11
|
|
|
| ''C''<sub>5v</sub>
|-
| 59
|[[dodecaedro parabiaumentado]]
| [[Image:Johnson solid 59 net.png|80px]]
| [[Image:Parabiaugmented dodecahedron.png|80px]]
| 22
| 40
| 20
| 10
|
| 10
|
|
|
| ''D''<sub>5d</sub>
|-
| 60
|[[dodecaedro metabiaumentado]]
| [[Image:Johnson solid 60 net.png|80px]]
| [[Image:Metabiaugmented dodecahedron.png|80px]]
| 22
| 40
| 20
| 10
|
| 10
|
|
|
| ''C''<sub>2v</sub>
|-
| 61
|[[dodecaedro triaumentado]]
| [[Image:Johnson solid 61 net.png|80px]]
| [[Image:Triaugmented dodecahedron.png|80px]]
| 23
| 45
| 24
| 15
|
| 9
|
|
|
| ''C''<sub>3v</sub>
|-
| 62
|[[icosaedro metabidiminuído]]
| [[Image:Johnson solid 62 net.png|80px]]
| [[Image:Metabidiminished icosahedron.png|80px]]
| 10
| 20
| 12
| 10
|
| 2
|
|
|
| ''C''<sub>2v</sub>
|-
| 63
|[[icosaedro tridiminuído]]
| [[Image:Johnson solid 63 net.png|80px]]
| [[Image:Tridiminished icosahedron.png|80px]]
| 9
| 15
| 8
| 5
|
| 3
|
|
|
| ''C''<sub>3v</sub>
|-
| 64
|[[icosaedro tridiminuído aumentado]]
| [[Image:Johnson solid 64 net.png|80px]]
| [[Image:Augmented tridiminished icosahedron.png|80px]]
| 10
| 18
| 10
| 7
|
| 3
|
|
|
| ''C''<sub>3v</sub>
|-
| 65
|[[tetraedro truncado aumentado]]
| [[Image:Johnson solid 65 net.png|80px]]
| [[Image:Augmented truncated tetrahedron.png|80px]]
| 15
| 27
| 14
| 8
| 3
|
| 3
|
|
| ''C''<sub>3v</sub>
|-
| 66
|[[cubo truncado aumentado]]
| [[Image:Johnson solid 66 net.png|80px]]
| [[Image:Augmented truncated cube.png|80px]]
| 28
| 48
| 22
| 12
| 5
|
|
| 5
|
| ''C''<sub>4v</sub>
|-
| 67
|[[cubo truncado biaumentado]]
| [[Image:Johnson solid 67 net.png|80px]]
| [[Image:Biaugmented truncated cube.png|80px]]
| 32
| 60
| 30
| 16
| 10
|
|
| 4
|
| ''D''<sub>4h</sub>
|-
| 68
|[[dodecaedro truncado aumentado]]
| [[Image:Johnson solid 68 net.png|80px]]
| [[Image:Augmented truncated dodecahedron.png|80px]]
| 65
| 105
| 42
| 25
| 5
| 1
|
|
| 11
| ''C''<sub>5v</sub>
|-
| 69
|[[dodecaedro truncado parabiaumentado]]
| [[Image:Johnson solid 69 net.png|80px]]
| [[Image:Parabiaugmented truncated dodecahedron.png|80px]]
| 70
| 120
| 52
| 30
| 10
| 2
|
|
| 10
| ''D''<sub>5d</sub>
|-
| 70
|[[dodecaedro truncado metabiaumentado]]
| [[Image:Johnson solid 70 net.png|80px]]
| [[Image:Metabiaugmented truncated dodecahedron.png|80px]]
| 70
| 120
| 52
| 30
| 10
| 2
|
|
| 10
| ''C''<sub>2v</sub>
|-
| 71
|[[dodecaedro truncado triaumentado]]
| [[Image:Johnson solid 71 net.png|80px]]
| [[Image:Triaugmented truncated dodecahedron.png|80px]]
| 75
| 135
| 62
| 35
| 15
| 3
|
|
| 9
| ''C''<sub>3v</sub>
|-
| 72
|[[girorrombicosidodecaedro]]
| [[Image:Johnson solid 72 net.png|80px]]
| [[Image:Gyrate rhombicosidodecahedron.png|80px]]
| 60
| 120
| 62
| 20
| 30
| 12
|
|
|
| ''C''<sub>5v</sub>
|-
| 73
|[[parabigirorrombicosidodecaedro]]
| [[Image:Johnson solid 73 net.png|80px]]
| [[Image:Parabigyrate rhombicosidodecahedron.png|80px]]
| 60
| 120
| 62
| 20
| 30
| 12
|
|
|
| ''D''<sub>5d</sub>
|-
| 74
|[[metabigirorrombicosidodecaedro]]
| [[Image:Johnson solid 74 net.png|80px]]
| [[Image:Metabigyrate rhombicosidodecahedron.png|80px]]
| 60
| 120
| 62
| 20
| 30
| 12
|
|
|
| ''C''<sub>2v</sub>
|-
| 75
|[[trigirorrombicosidodecaedro]]
| [[Image:Johnson solid 75 net.png|80px]]
| [[Image:Trigyrate rhombicosidodecahedron.png|80px]]
| 60
| 120
| 62
| 20
| 30
| 12
|
|
|
| ''C''<sub>3v</sub>
|-
| 76
|[[rombicosidodecaedro diminuído]]
| [[Image:Johnson solid 76 net.png|80px]]
| [[Image:Diminished rhombicosidodecahedron.png|80px]]
| 55
| 105
| 52
| 15
| 25
| 11
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 77
|[[rombicosidodecaedro paragirodiminuído]]
| [[Image:Johnson solid 77 net.png|80px]]
| [[Image:Paragyrate diminished rhombicosidodecahedron.png|80px]]
| 55
| 105
| 52
| 15
| 25
| 11
|
|
| 1
| ''C''<sub>5v</sub>
|-
| 78
|[[rombicosidodecaedro metagirodiminuído]]
| [[Image:Johnson solid 78 net.png|80px]]
| [[Image:Metagyrate diminished rhombicosidodecahedron.png|80px]]
| 55
| 105
| 52
| 15
| 25
| 11
|
|
| 1
| ''C''<sub>s</sub>
|-
| 79
|[[rombicosidodecaedro bigirodiminuído]]
| [[Image:Johnson solid 79 net.png|80px]]
| [[Image:Bigyrate diminished rhombicosidodecahedron.png|80px]]
| 55
| 105
| 52
| 15
| 25
| 11
|
|
| 1
| ''C''<sub>s</sub>
|-
| 80
|[[rombicosidodecaedro parabidiminuído]]
| [[Image:Johnson solid 80 net.png|80px]]
| [[Image:Parabidiminished rhombicosidodecahedron.png|80px]]
| 50
| 90
| 42
| 10
| 20
| 10
|
|
| 2
| ''D''<sub>5d</sub>
|-
| 81
|[[rombicosidodecaedro metabidiminuído]]
| [[Image:Johnson solid 81 net.png|80px]]
| [[Image:Metabidiminished rhombicosidodecahedron.png|80px]]
| 50
| 90
| 42
| 10
| 20
| 10
|
|
| 2
| ''C''<sub>2v</sub>
|-
| 82
|[[rombicosidodecaedro girobidiminuído]]
| [[Image:Johnson solid 82 net.png|80px]]
| [[Image:Gyrate bidiminished rhombicosidodecahedron.png|80px]]
| 50
| 90
| 42
| 10
| 20
| 10
|
|
| 2
| ''C''<sub>s</sub>
|-
| 83
|[[rombicosidodecaedro tridiminuído]]
| [[Image:Johnson solid 83 net.png|80px]]
| [[Image:Tridiminished rhombicosidodecahedron.png|80px]]
| 45
| 75
| 32
| 5
| 15
| 9
|
|
| 3
| ''C''<sub>3v</sub>
|-
| 84
|[[disfenoide achatado]]
| [[Image:Johnson solid 84 net.png|80px]]
| [[Image:Snub disphenoid.png|80px]]
| 8
| 18
| 12
| 12
|
|
|
|
|
| ''D''<sub>2d</sub>
|-
| 85
|[[antiprisma quadrado achatado]]
| [[Image:Johnson solid 85 net.png|80px]]
| [[Image:Snub square antiprism.png|80px]]
| 16
| 40
| 26
| 24
| 2
|
|
|
|
| ''D''<sub>4d</sub>
|-
| 86
|[[esfenocorona]]
| [[Image:Johnson solid 86 net.png|80px]]
| [[Image:Sphenocorona.png|80px]]
| 10
| 22
| 14
| 12
| 2
|
|
|
|
| ''C''<sub>2v</sub>
|-
| 87
|[[esfenocorona aumentada]]
| [[Image:Johnson solid 87 net.png|80px]]
| [[Image:Augmented sphenocorona.png|80px]]
| 11
| 26
| 17
| 16
| 1
|
|
|
|
| ''C''<sub>s</sub>
|-
| 88
|[[esfenomegacorona]]
| [[Image:Johnson solid 88 net.png|80px]]
| [[Image:Sphenomegacorona.png|80px]]
| 12
| 28
| 18
| 16
| 2
|
|
|
|
| ''C''<sub>2v</sub>
|-
| 89
|[[Hebesfenomegacorona]]
| [[Image:Johnson solid 89 net.png|80px]]
| [[Image:Hebesphenomegacorona.png|80px]]
| 14
| 33
| 21
| 18
| 3
|
|
|
|
| ''C''<sub>2v</sub>
|-
| 90
|[[disfenocingulum]]
| [[Image:Johnson solid 90 net.png|80px]]
| [[Image:Disphenocingulum.png|80px]]
| 16
| 38
| 24
| 20
| 4
|
|
|
|
| ''D''<sub>2d</sub>
|-
| 91
|[[birrotunda bilunar]]
| [[Image:Johnson solid 91 net.png|80px]]
| [[Image:Bilunabirotunda.png|80px]]
| 14
| 26
| 14
| 8
| 2
| 4
|
|
|
| ''D''<sub>2h</sub>
|-
| 92
|[[hebesfenorrotunda triangular]]
| [[Image:Johnson solid 92 net.png|80px]]
| [[Image:Triangular hebesphenorotunda.png|80px]]
| 18
| 36
| 20
| 13
| 3
| 3
| 1
|
|
| ''C''<sub>3v</sub>
|}

==Referências==
*Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, '''18''', 1966, pages 169–200. Contém a enumeração original dos 92 sólidos.
*Victor A. Zalgaller, "Convex Polyhedra with Regular Faces", 1969.

== Ligações externas ==
* {{Link|en|2=http://www.korthalsaltes.com/ |3=Modelos de papel de poliedros}}
* {{Link||2=http://www.georgehart.com/virtual-polyhedra/johnson-info.html |3=Johnson Solids |4=por George W. Hart. {{en}}}}
* {{Link|en|2=http://www.uwgb.edu/dutchs/symmetry/johnsonp.htm |3=Imagens dos 92 sólidos e classificações.}}

{{Portal3|Geometria}}

[[Categoria:Sólido de Johnson| ]]