Nets for Geometric Solids

A net of a geometric solid is a two-dimensional (planar) figure that can be folded into a geometric solid. For example, we know that a cube has six sides. Each side of a cube is a square. So if we arrange six squares into a figure that can be folded into a cube, we have a net for a cube.

Here are a few examples of nets of cubes:
Example of a geometric net for a cube 1 Example of a geometric net for a cube 2 Example of a geometric net for a cube 3

However, not every figure of six squares can be folded into a cube. Here are some figures that are not nets of cubes:
Negative example of a geometric net for a cube 1 Negative example of a geometric net for a cube 2 Negative example of a geometric net for a cube 3

Index of Nets

Archimedean solid
ExampleNameTypePrintable Net
Cantellated Tetrahedronnet_cantellated_tetrahedron.pdf
Cube or Regular HexahedronPlatonic Solidnet_cube.pdf
CuboctahedronArchimedean solidnet_cuboctahedron.pdf
Cylindernet_cylinder.pdf
Decagonal Frustumempty spacenet_decagonalfrustum.pdf
Decagonal AntiprismPrismatic uniform polyhedronnet_decagonalantiprism.pdf
Decagonal PrismPrismatic uniform polyhedronnet_decagonalprism.pdf
Deltoidal HexecontahedronDeltoidalHexecontahedron.pdf. Courtesy Wolfram Mathworld.
Deltoidal IcositetrahedronCatalan Solidnet_delticositetrahedron.pdf
Disdyakis DodecahedronCatalan Solidnet_disdyakis_dodecahedron.pdf
Dodecahedron, RegularPlatonic Solidnet_dodecahedron.pdf
Elongated Pentagonal DipyramidJohnson Solid (J16)net_elong_penta_dipyramid.pdf
Elongated Pentagonal PyramidJohnson Solid (J9)net_elong_penta_pyramid.pdf
Elongated Square DipyramidJohnson Solid (J15)net_elong_sqr_dipyramid.pdf
Elongated Square PyramidJohnson Solid (J8)net_elong_square_pyramid.pdf
Elongated Triangular CupolaJohnson Solid (J18)net_elong_triang_cupola.pdf
Elongated Triangular DipyramidJohnson Solid (J14)net_elong_triang_dipyramid.pdf
Elongated Triangular PyramidJohnson Solid (J7)net_elong_triangular_pyramid.pdf
Great Stellated DodecahedronKepler-Poinsot Solidnet_g_stelltd_dodecahedron.pdf
Gyroelongated Pentagonal PyramidJohnson Solid (J11)net_gyroelong_penta_pyramid.pdf
Gyroelongated Square DipyramidJohnson Solid (J17)net_gyroelong_sqr_dipyrmd.pdf
Gyroelongated Square PyramidJohnson Solid (J10)net_gyroelong_sqr_pyramid.pdf
Heptagonal PyramidJohnson Solid (J14)net_heptagonal_pyramid.pdf
Heptahedron 6644433net_heptahedron_6644433.pdf
Heptahedron 4443333net_heptahedron_4443333.pdf
Hexagonal PrismPrismatic uniform polyhedronnet_hexagonal_prism.pdf
Hexagonal Pyramidnet_hexagonal_pyramid.pdf
Icosahedron, RegularPlatonic Solidnet_icosahedron.pdf
IcosidodecahedronArchimedean solidnet_icosidodecahedron.pdf
Oblique Pentagonal PrismN/Anet_oblique_penta_prism.pdf
Octagonal AntiprismPrismatic uniform polyhedronnet_octagonal_antiprism.pdf
Octagonal PrismPrismatic uniform polyhedronnet_octagonal_prism.pdf
Octahedron, RegularPlatonic Solidnet_regular_octahedron.pdf
Pentagonal AntiprismPrismatic uniform polyhedronnet_pentagonal_antiprism.pdf
Pentagonal CupolaJohnson Solid (J5)net_pentagonal_cupola.pdf
Pentagonal Deltohedronnet_pentagonal_deltohedron.pdf
Pentagonal DipyramidJohnson Solid (J12)net_pentagonal_dipyramid.pdf
Pentagonal PrismPrismatic uniform polyhedronnet_pentagonal_prism.pdf
Pentagonal PyramidJohnson Solid (J2)net_pentagonal_pyramid.pdf
Pentagonal RotundaJohnson Solid (J6)net_pentagonal_rotunda.pdf
Pentagramic Prismnet_pentagramic_prism.pdf
Quadrilateral Frustumnet_quadrilateral_frustum.pdf
RhombicuboctahedronArchimedean solidnet_rhombicuboctahedron.pdf
Rhombic Prismnet_rhombic_prism.pdf
Small RhombidodecahedronUniform polyhedronnet_rhombidodecahedron.pdf
RombicosidodecahedronArchimedean solidnet_rombicosidodecahedron.pdf
Snub CubeArchimedean solidnet_snub_cube.pdf
Snub DodecahedronArchimedean solidnet_snub_dodecahedron.pdf
Square AntiprismPrismatic uniform polyhedronnet_square_antiprism.pdf
Square CupolaJohnson Solid (J4)net_square_cupola.pdf
Square Trapezohedronnet_square_trapezohedron.pdf
Stella OctangulaRegular compoundnet_stella_octangula.pdf
Stellated Dodecahedronnet_stellated_dodecahedron.pdf
Tetrahedron, RegularPlatonic Solidnet_tetrahedron.pdf
Tetrakis Hexahedronnet_tetrakishexahedron.pdf
Triakis OctahedronCatalan Solidnet_triakisoctahedron.pdf
Triakis TetrahedronCatalan Solidnet_triakistetrahedron.pdf
Triangular CupolaJohnson Solid (J3)net_triangular_cupola.pdf
Triangular DipyramidJohnson Solid (J12)net_triangular_dipyramid.pdf
Triangular Pentahedronnet_triang_pentahedron.pdf
Triangular PrismPrismatic uniform polyhedronnet_triangular_prism.pdf
Truncated DodecahedronArchimedean solidnet_trunc_dodecahedron.pdf
Truncated CubeArchimedean solidnet_truncated_cube.pdf
Truncated CuboctahedronArchimedean solidnet_truncated_cuboctahedron.pdf
Truncated IcosidodecahedronArchimedean solidnet_trunc_icosidodecahedron.pdf
Truncated IcosahedronArchimedean solidnet_truncated_icosahedron.pdf
Truncated OctahedronArchimedean solidnet_truncated_octahedron.pdf
Truncated TetrahedronArchimedean solidnet_truncated_tetrahedron.pdf