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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, Square Pyramid

Polyhedron Model by Martin Berman, Pentagonal Pyramid

Polyhedron Model by Martin Berman, Triangular Cupola

Polyhedron Model by Martin Berman, Square Cupola

Polyhedron Model by Martin Berman, Pentagonal Cupola

Polyhedron Model by Martin Berman, Pentagonal Rotunda

Polyhedron Model by Martin Berman, Elongated Triangular Pyramid

Polyhedron Model by Martin Berman, Elongated Square Pyramid

Polyhedron Model by Martin Berman, Elongated Pentagonal Pyramid

Polyhedron Model by Martin Berman, Gyroelongated Square Pyramid

Polyhedron Model by Martin Berman, Gyroelongated Pentagonal Pyramid

Polyhedron Model by Martin Berman,Triangular Dipyramid

Polyhedron Model by Martin Berman, Pentagonal Dipyramid

Polyhedron Model by Martin Berman, Elongated Triangular Dipyramid

Polyhedron Model by Martin Berman, Elongated Square Dipyramid

Polyhedron Model by Martin Berman, Elongated Pentagonal Dipyramid

Polyhedron Model by Martin Berman, Gyroelongated Square Dipyramid

Polyhedron Model by Martin Berman, Elongated Triangular Cupola

Polyhedron Model by Martin Berman, Elongated Square Cupola

Polyhedron Model by Martin Berman, Elongated Pentagonal Cupola

Polyhedron Model by Martin Berman, Elongated Pentagonal Rotunda

Polyhedron Model by Martin Berman, Gyroelongated Triangular Cupola

Polyhedron Model by Martin Berman, Gyroelongated Square Cupola

Polyhedron Model by Martin Berman, Gyroelongated Pentagonal Cupola

Polyhedron Model by Martin Berman, Gyroelongated Pentagonal Rotunda

Polyhedron Model by Martin Berman, Gyrobifastigium

Polyhedron Model by Martin Berman,Triangular Orthobicupola

Polyhedron Model by Martin Berman, Square Orthobicupola

Polyhedron Model by Martin Berman, Square Gyrobicupola

Polyhedron Model by Martin Berman, Pentagonal Orthobicupola

Polyhedron Model by Martin Berman, Pentagonal Gyrobicupola

Polyhedron Model by Martin Berman, Pentagonal Orthocupolarotunda

Polyhedron Model by Martin Berman, Pentagonal Gyrocupolarotunda

Polyhedron Model by Martin Berman, Pentagonal Orthobirotunda

Polyhedron Model by Martin Berman, Elongated Triangular Orthobicupola


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