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- PLATONIC SOLIDS
- 1 cube (W3)
- 3 dodecahedron (W5)
- 4 icosahedron
- 2 octahedron
- 0 tetrahedron
- STELLATIONS OF PLATONIC SOLIDS
- 6 great dodecahedron (W21)
- 8 great icosahedron (W41)
- 7 great stellated dodecahedron
- 5 small stellated dodecahedron
- 141 echidnahedron
- -141 (final stellation of the icosahedron)
- ARCHIMEDEAN SOLIDS
- 10 cuboctahedron (W11)
- 20 great rhombicosidodecahedron
- -20 (truncated icosidodecahedron)
- 14 great rhombicuboctahedron
- -14 (truncated cuboctahedron)
- 16 icosidodecahedron
- 19 rhombicosidodecahedron
- 13 rhombicuboctahedron
- 15 snub cube (laevo)
- 21 snub dodecahedron (laevo)
- 11 truncated cube
- 17 truncated dodecahedron
- 18 truncated icosahedron
- 12 truncated octahedron
- 9 truncated tetrahedron
- ARCHIMEDEAN DUALS
- 43 hexakis icosahedron
- 37 hexakis octahedron
- 44 pentagonal hexecontahedron (dextro)
- 38 pentagonal icositetrahedron (dextro)
- 41 pentakis dodecahedron
- 33 rhombic dodecahedron
- 39 rhombic triacontahedron
- 35 tetrakis hexahedron
- 42 trapezoidal hexecontahedron
- 36 trapezoidal icositetrahedron
- 40 triakis icosahedron
- 32 triakis tetrahedron
- 34 triakis octahedron
- PRISMS AND ANTIPRISMS
- 31 decagonal antiprism
- 26 decagonal prism
- 29 hexagonal antiprism
- 24 hexagonal prism
- 28 pentagonal antiprism
- 23 pentagonal prism
- 30 octagonal antiprism
- 25 octagonal prism
- 27 square antiprism
- 22 triangular prism
- JOHNSON SOLIDS (all convex polyhedra with regular faces)
- 102 augmented dodecahedron (J58)
- 98 augmented hexagonal prism (J54)
- 96 augmented pentagonal prism (J52)
- 131 augmented sphenocorona (J87)
- 93 augmented triangular prism (J49)
- 108 augmented tridiminished icosahedron (J64)
- 110 augmented truncated cube (J66)
- 112 augmented truncated dodecahedron (J68)
- 109 augmented truncated tetrahedron (J65)
- 97 biaugmented pentagonal prism (J53)
- 94 biaugmented triangular prism (J50)
- 111 biaugmented truncated cube (J67)
- 123 bigyrate diminished rhombicosidodecahedron (J79)
- 135 bilunabirotunda (J91)
- 120 diminished rhombicosidodecahedron (J76)
- 134 disphenocingulum (J90)
- 64 elongated pentagonal cupola (J20)
- 60 elongated pentagonal dipyramid (J16)
- 83 elongated pentagonal gyrobicupola (J39)
- 87 elongated pentagonal gyrobirotunda (J43)
- 85 elongated pentagonal gyrocupolarotunda (J41)
- 82 elongated pentagonal orthobicupola (J38)
- 86 elongated pentagonal orthobirotunda (J42)
- 84 elongated pentagonal orthocupolarotunda (J40)
- 53 elongated pentagonal pyramid (J9)
- 65 elongated pentagonal rotunda (J21)
- 63 elongated square cupola (J19)
- 59 elongated square dipyramid (J15)
- 81 elongated square gyrobicupola (J37)
- 52 elongated square pyramid (J8)
- 62 elongated triangular cupola (J18)
- 58 elongated triangular dipyramid (J14)
- 80 elongated triangular gyrobicupola (J36)
- 79 elongated triangular orthobicupola (J35)
- 51 elongated triangular pyramid (J7)
- 126 gyrate bidiminished rhombicosidodecahedron (J82)
- 116 gyrate rhombicosidodecahedron (J72)
- 70 gyrobifastigium (J26)
- 90 gyroelongated pentagonal bicupola (J46)
- 92 gyroelongated pentagonal birotunda (J48)
- 68 gyroelongated pentagonal cupola (J24)
- 91 gyroelongated pentagonal cupolarotunda (J47)
- 55 gyroelongated pentagonal pyramid (J11)
- 69 gyroelongated pentagonal rotunda (J25)
- 89 gyroelongated square bicupola (J45)
- 67 gyroelongated square cupola (J23)
- 61 gyroelongated square dipyramid (J17)
- 54 gyroelongated square pyramid (J10)
- 88 gyroelongated triangular bicupola (J44)
- 66 gyroelongated triangular cupola (J22)
- 133 hebesphenomegacorona (J89)
- 104 metabiaugmented dodecahedron (J60)
- 100 metabiaugmented hexagonal prism (J56)
- 114 metabiaugmented truncated dodecahedron (J70)
- 106 metabidiminished icosahedron (J62)
- 125 metabidiminished rhombicosidodecahedron (J81)
- 118 metabigyrate rhombicosidodecahedron (J74)
- 122 metagyrate diminished rhombicosidodecahedron (J78)
- 103 parabiaugmented dodecahedron (J59)
- 99 parabiaugmented hexagonal prism (J55)
- 113 parabiaugmented truncated dodecahedron (J69)
- 124 parabidiminished rhombicosidodecahedron (J80)
- 117 parabigyrate rhombicosidodecahedron (J73)
- 121 paragyrate diminished rhombicosidodecahedron (J77)
- 49 pentagonal cupola (J5)
- 57 pentagonal dipyramid (J13)
- 75 pentagonal gyrobicupola (J31)
- 77 pentagonal gyrocupolarotunda (J33)
- 74 pentagonal orthobicupola (J30)
- 78 pentagonal orthobirotunda (J34)
- 76 pentagonal orthocupolarontunda (J32)
- 46 pentagonal pyramid (J2)
- 50 pentagonal rotunda (J6)
- 128 snub disphenoid (J84)
- 129 snub square antiprism (J85)
- 130 sphenocorona (J86)
- 132 sphenomegacorona (J88)
- 48 square cupola (J4)
- 73 square gyrobicupola (J29)
- 72 square orthobicupola (J28)
- 45 square pyramid (J1)
- 47 triangular cupola (J3)
- 56 triangular dipyramid (J12)
- 136 triangular hebesphenorotunda (J92)
- 71 triangular orthobicupola (J27)
- 101 triaugmented hexagonal prism (J57)
- 95 triaugmented triangular prism (J51)
- 105 triaugmented dodecahedron (J61)
- 115 triaugmented truncated dodecahedron (J71)
- 107 tridiminished icosahedron (J63)
- 127 tridiminished rhombicosidodecahedron (J83)
- 119 trigyrate rhombicosidodecahedron (J75)
- NON-CONVEX UNIFORM POLYHEDRA
- 140 dodecadodecahedron (W73)
- 138 octahemioctahedron (W68)
- 139 small ditrigonal icosidodecahedron (W70)
- 137 tetrahemihexahedron (W67)
- OTHERS
- 142 Compound of 5 cubes
- -142 a stellation of the rhombic triacontahedron
- 143 1st stellation truncated icosahedron
- 144 Stellated Octahedron (W19)
- 145 Stellation 1 Cuboctahedron (W43)
- 146 P146 test 1