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Explore

  • Geometric Models-Regular-Faced Convex Polyhedra
  • Platonic Solids
  • Archimedean Solids, Prisms, and Antiprisms
  • Johnson Solids
  • References

Geometric Models

Johnson Solids

American History Museum

Besides the regular and semiregular solids, there are just ninety-two other convex polyhedra with regular faces. In 1966, the American mathematician Norman W. Johnson, a student of H.S.M. Coxeter at the University of Toronto in Canada, enumerated them. These polyhedra are sometimes called the Johnson solids. In 1969, the Russian Viktor A. Zalgaller offered a computer-based computational proof that Johnson had completed the enumeration of convex polyhedra with regular faces.


Polyhedron Model by Martin Berman, Triaugmented Truncated Dodecahedron

Polyhedron Model by Martin Berman, Gyrate Rhombicosidodecahedron

Polyhedron Model by Martin Berman, Parabigyrate Rhombicosidodecahedron

Polyhedron Model by Martin Berman, Metabigyrate Rhombicosidodecahedron

Polyhedron Model by Martin Berman, Trigyrate Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Diminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Paragyrate Diminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Metagyrate Diminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Bigyrate Diminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Parabidiminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Metabidiminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Gyrate Bidiminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Tridiminished Rhombicosidodecahedron

Polyhedron Model by Michael Berman, Snub Disphenoid

Polyhedron Model by Michael Berman, Snub Square Antiprism

Polyhedron Model by Michael Berman, Sphenocorona

Polyhedron Model by Michael Berman, Augmented Sphenocorona

Polyhedron Model by Michael Berman, Sphenomegacorona

Polyhedron Model by Michael Berman, Hebesphenomegacorona

Polyhedron Model by Michael Berman, Disphenocingulum

Polyhedron Model by Michael Berman, Bilunabirotunda

Polyhedron Model by Martin Berman, Triangular Hebesphenorotunda


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