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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