Selection of 62 uniform polyhedron models

Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids) Selection of 62 uniform polyhedron models (polyhedra model (card); Platonic Solids)

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Science Museum Group Collection
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© The Board of Trustees of the Science Museum

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© The Board of Trustees of the Science Museum

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© The Board of Trustees of the Science Museum

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Selection of 62 uniform polyhedron models, including 5 Platonic solids, 4 Kepler-Poinsot solids, 43 non-convex solids and 10 non-convex snub solids made of coloured card by Mr R. Buckley, c.1965.

All of he faces of these objects are regular polygons and in any one of the solids, all the corners are alike (vertices are congruent).

Apart from an infinite number of prisms and anti-prisms, only 75 different solid shapes can be constructed conforming with these conditions. They are called the 'uniform polyhedra'.

A regular polygon is a plane figure with all its sides equal and with equal angles between the sides. This definition includes the pentagram and pentagon.

Besides allowing the sides of the polygons to surround their centre more than once, the faces of the uniform polyhedra may surround the vertices more than once. As a result, the faces cross one another and in most of the models only parts of the faces show on the outside of the solids. For ease in identification, faces of any one kind on each model are the same colour.

Tetrahedron a regular Platonic Solid

Tetrahedron a regular Platonic Solid

1963-1965

Cube or Hexahedron a regular Platonic Solid

Cube or Hexahedron a regular Platonic Solid

1963-1965

Octahedron a regular Platonic Solid

Octahedron a regular Platonic Solid

1963-1965

Dodecahedron a regular Platonic Solid

Dodecahedron a regular Platonic Solid

1963-1965

Icosahedron a regular Platonic Solid

Icosahedron a regular Platonic Solid

1963-1965

Small Stellated Dodecahedron a Kepler solid

Small Stellated Dodecahedron a Kepler solid

1963-1965

Great Dodecahedron a Poinsot solid

Great Dodecahedron a Poinsot solid

1963-1965

Great Stellated Dodecahedron a Kepler solid

Great Stellated Dodecahedron a Kepler solid

1963-1965

Great Icosahedron a Poinsot solid

Great Icosahedron a Poinsot solid

1963-1965

Tetrahemihexahedron a semi-regular solid

1963-1965

Octahemioctahedron a semi-regular solid

1963-1965

Small Cubicuboctahedron a semi-regular solid

1963-1965

Small Ditrigonal Icosidodecahedron a semi-regular solid

1963-1965

Small Icosicosidodecahedron a semi-regular solid

1963-1965

Small Dodecicosidodecahedron a semi-regular solid

1963-1965

Dodecadodecahedron a semi-regular solid

1963-1965

Small Rhombidodecahedron a semi-regular solid

1963-1965

Truncated Great Dodecahedron a semi-regular solid

1963-1965

Rhombidodecadodecahedron a semi-regular solid

Rhombidodecadodecahedron a semi-regular solid

1963-1965

Great Cubicuboctahedron a semi-regular solid

1963-1965

Cubohemioctahedron a semi-regular solid

1963-1965

Cuboctatruncated Cuboctahedron a semi-regular solid

1963-1965

Ditrigonal Dodecahedron a semi-regular solid

1963-1965

Great Ditrigonal Dodecicosidodecahedron semi-regular solid

Great Ditrigonal Dodecicosidodecahedron semi-regular solid

1963-1965

Small Ditrigonal Dodecicosidodecahedron a semi-regular solid

Small Ditrigonal Dodecicosidodecahedron a semi-regular solid

1963-1965

Icosidodecadodecahedron a semi-regular solid

Icosidodecadodecahedron a semi-regular solid

1963-1965

Icosidodecatruncated Icosidodecahedron a semi-regular solid

Icosidodecatruncated Icosidodecahedron a semi-regular solid

1963-1965

Quasirhombicuboctahedron a semi-regular solid

1963-1965

Small Rhombihexahedron a semi-regular solid

1963-1965

Great Ditrigonal Icosidodecahedron a semi-regular solid

1963-1965

Great Icosicosidodecahedron a semi-regular solid

Great Icosicosidodecahedron a semi-regular solid

1963-1965

Small Icosihemidodecahedron a semi-regular solid

1963-1965

Small Dodecicosahedron a semi-regular solid

1963-1965

Small Dodecahemidodecahedron a semi-regular solid

1963-1965

Quasitruncated Hexahedron a semi-regular solid

1963-1965

Quasitruncated Cuboctahedron a semi-regular solid

1963-1965

Great Icosidodecahedron a semi-regular solid

1963-1965

Truncated Great Icosahedron a semi-regular solid

1963-1965

Rhombicosahedron a semi-regular solid

Rhombicosahedron a semi-regular solid

1963-1965

Quasitruncated Small Stellated Dodecahedron a semi-regular solid

1963-1965

Quasitruncated Dodecahedron a semi-regular solid

1963-1965

Great Dodecicosidodecahedron a semi-regular solid

Great Dodecicosidodecahedron a semi-regular solid

1963-1965

Small Dodecahemicosahedron a semi-regular solid

1963-1965

Great Dodecicosahedron a semi-regular solid

Great Dodecicosahedron a semi-regular solid

1963-1965

Great Dodecahemicosahedron a semi-regular solid

1963-1965

Great Rhombihexahedron a semi-regular solid

1963-1965

Quasitruncated Great Stellated Dodecahedron a semi-regular solid

1963-1965

Quasirhombicosidodecahedron a semi-regular solid

1963-1965

Great Icosihemidodecahedron a semi-regular solid

Great Icosihemidodecahedron a semi-regular solid

1963-1965

Great Dodecahemidodecahedron a semi-regular solid

1963-1965

Great Quasitruncated Icosidodecahedron a semi-regular solid

Great Quasitruncated Icosidodecahedron a semi-regular solid

1963-1965

Great Rhombidodecahedron a semi-regular solid

Great Rhombidodecahedron a semi-regular solid

1963-1965

Small Snub Icosicosidodecahedron a semi-regular solid

1963-1965

Snub Dodecadodecahedron a semi-regular solid

Snub Dodecadodecahedron a semi-regular solid

1963-1965

Snub Icosidodecadodecahedron a semi-regular solid

Snub Icosidodecadodecahedron a semi-regular solid

1963-1965

Great Snub Icosidodecahedron a semi-regular solid

Great Snub Icosidodecahedron a semi-regular solid

1963-1965

Inverted Snub Dodecadodecahedron a semi-regular solid

Inverted Snub Dodecadodecahedron a semi-regular solid

1963-1965

Great Snub Dodecicosidodecahedron a semi-regular solid

1963-1965

Great Inverted Snub Icosidodecahedron a semi-regular solid

Great Inverted Snub Icosidodecahedron a semi-regular solid

1963-1965

Great Inverted retrosnub Icosidodecahedron a semi-regular solid

Great Inverted retrosnub Icosidodecahedron a semi-regular solid

1963-1965

Small Inverted Retrosnub Icosicosidodecahedron a semi-regular solid made of coloured card by Mr R. Buckley

Small Inverted Retrosnub Icosicosidodecahedron a semi-regular solid made of coloured card by Mr R. Buckley

1963-1965

Great Dirhombicosidodecahedron a semi-regular solid

Great Dirhombicosidodecahedron a semi-regular solid

1963-1965

Details

Category:
Mathematics
Object Number:
1965-246
Materials:
complete and cardboard
type:
polyhedra model (card) and platonic solids
credit:
Mr R. Buckley