Ken Brakke's Home Page
All my models

Models of Polyhedra

I have made plastic models of many wire-frame polyhedra using 3D printing via Shapeways.com. These models are available for anyone to buy from Shapeways.com. Clicking on the "buy" link under an image will take you to the model's purchase page at Shapeways.com, where you can add it to your shopping cart. Within two weeks, your models will arrive.

I made these models by using Mathematica's PolyhedronData feature to produce Surface Evolver files of the wire frame, then my Evolver script edge_tuber.cmd to tube the frame, and then my Evolver script stl.cmd to write the STL-format file that Shapeways.com needs.

The Platonic solids and Archimedean solids are all scaled to be 10 cm in size, and have solid 3mm diameter tubing. Others are 7 cm in size with 2 mm diameter tubes, to cut the cost down. The default material is white plastic, but you can pick other materials. For white plastic, the cost of the 10 cm is between $6 and $12, and for the 7 cm size between $5 and $10.

Platonic Solids

cube
Cube
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tetrahedron
Tetrahedron
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Octahedron
Octahedron
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Dodecahedron
Dodecahedron
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Icosahedron
Icosahedron
Buy

Archimedean Solids

TruncatedTetrahedron
Truncated Tetrahedron
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Cuboctahedron
Cub-octahedron
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TruncatedOctahedron
Truncated Octahedron
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TruncatedCube
Truncated Cube
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smallrhombicuboctahedron
Rhomb-cub-octahedron
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GreatRhombicuboctahedron
Great Rhomb-cub-octahedron
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icosidodecahedron
Icosi-dodecahedron
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truncatedicosahedron
Truncated Icosahedron
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truncateddodecahedron.
Truncated Dodecahedron
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snubcube
Snub Cube
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smallrhombicosidodecahedron
Rhomb-icosi-dodecahedron
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greatrhombicosidodecahedron
Great Rhomb-icosi-dodecahedron
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snubdodecahedron
Snub Dodecahedron
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Duals of Archimedean Solids

triakistetrahedron
Triakis Tetrahedron
(dual of Truncated Tetrahedron)
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truncatedoctahedron
Rhombic Dodecahedron
(dual of Cub-octahedron)
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icosidodecahedron
Tetrakis Hexahedron
(dual of Truncated Octahedron)
Buy
smalltriakisoctahedron
Small Triakis Octahedron
(dual of Truncated Cube)
Buy
deltoidalicositetrahedron
Deltoidal Icositetrahedron
(dual of Rhomb-cub-octahedron)
Buy
disdyakisdodecahedron
Disdyakis Dodecahedron
(dual of Great Rhomb-cub-octahedron)
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rhombictriacontahedron
Rhombic Triacontahedron
(dual of Icosi-dodecahedron)
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pentakisdodecahedron
Pentakis Dodecahedron
(dual of Truncated Icosahedron)
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triakisicosahedron
Triakis Icosahedron
(dual of Truncated Dodecahedron)
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pentagonalicositetrahedron
Pentagoanl Icositetrahedron
(dual of Snub Cube)
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deltoidalhexecontahedron
Deltoidal Hexacontahedron
(dual of Rhomb-icosi-dodecahedron)
Buy
disdyakistriacontahedron
Disdyakis Triacontahedron
(dual of Great Rhomb-icosi-dodecahedron)
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pentagonalhexecontahedron
Pentagonal Hexacontahedron
(dual of Snub Dodecahedron)
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Prisms, Antiprisms, and duals

triangularprism
Triangular Prism
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triangulardipyramid
Triangular Bipyramid
(dual of Triangular Prism)
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octahedron
Triangular Antiprism (octahedron)
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cube
Triangular Trapezohedron
(dual of Triangular Antiprism)
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cube
Square Prism
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octahedron
Square Bipyramid
(dual of Square Prism)
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squareantiprism
Square Antiprism
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tetragonaltrapezohedron
Tetragonal Trapezohedron
(dual of Square Antiprism)
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pentagonalprism
Pentagonal Prism
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pentagonaldipyramid
Pentagonal Bipyramid
(dual of Pentagonal Prism)
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pentagonalantiprism
Pentagonal Antiprism
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pentagonaltrapezohedron
Pentagonal Trapezohedron
(dual of Pentagonal Antiprism)
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hexagonalprism
Hexagonal Prism
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hexagonaldipyramid
Hexagonal Bipyramid
(dual of Hexagonal Prism)
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hexagonalantiprism
Hexagonal Antiprism
Buy
hexagonaltrapezohedron
Hexagonal Trapezohedron
(dual of Hexagonal Antiprism)
Buy
heptagonalprism
Heptagonal Prism
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heptagonaldipyramid
Heptagonal Bipyramid
(dual of Heptagonal Prism)
Buy
heptagonalantiprism
Heptagonal Antiprism
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heptagonaltrapezohedron
Heptagonal Trapezohedron
(dual of Heptagonal Antiprism)
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octagonalprism
Octagonal Prism
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octagonaldipyramid
Octagonal Bipyramid
(dual of Octagonal Prism)
Buy
octagonalantiprism
Octagonal Antiprism
Buy
octagonaltrapezohedron
Octagonal Trapezohedron
(dual of Octagonal Antiprism)
Buy
nonagonalprism
Nonagonal Prism
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nonagonaldipyramid
Nonagonal Bipyramid
(dual of Nonagonal Prism)
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nonagonalantiprism
Nonagonal Antiprism
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nonagonaltrapezohedron
Nonagonal Trapezohedron
(dual of Nonagonal Antiprism)
Buy
decagonalprism
Decagonal Prism
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decagonaldipyramid
Decagonal Bipyramid
(dual of Decagonal Prism)
Buy
decagonalantiprism
Decagonal Antiprism
Buy
decagonaltrapezohedron
Decagonal Trapezohedron
(dual of Decagonal Antiprism)
Buy
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