Archimedean
This project displays views of the Archimedean solids and their duals.
The Archimedean solids are the 13 polyhedra whose symmetry group act transitively on vertices, barring the Platonic solids and some trivial examples such as prism and antiprisms. This means that every vertex "looks the same" and there are rotations mapping the polyhedron to itself and mapping any vertex to any other. As a result, the faces of the Archimedean solids are all regular polygons.
The dual of a polyhedron is the polyhedron obtained by replacing every vertex by a face and every face by a vertex. As every vertex are isomorphic in an Archimedean solid, their duals have the property that all of their faces are isomorphic as well, although the are not regular polygons.
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/5995e7151375119.630b45aa0eabe.png)
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Triakis tetrahedron (dual of the truncated tetrahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/47cd84151375119.630b45aa941c3.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/e36a31151375119.630b45aa9824f.png)
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Rhombic dodecahedron (dual to the cuboctahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/719e2f151375119.630b468fe07eb.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/34adb7151375119.630b468fe3462.png)
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Triakis octahedron (dual to the truncated cube)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0bf529151375119.630b48fc086ed.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6927f0151375119.630b48fc06da0.png)
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Tetrakis hexahedron (dual to the truncated octahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dc7fcc151375119.630b48fd16a6a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/864957151375119.630b48fd173c7.png)
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![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/32595c151375119.630b48fd99aba.png)
Deltoidal icositetrahedron (dual to the Rhombicuboctahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c6d0e3151375119.630b48fe233fb.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/63adeb151375119.630b48fe2163d.png)
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Disdyakis dodecahedron (dual to the truncated cubocahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/93564f151375119.630b4c6623efa.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/04738d151375119.630b4c66252c2.png)
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Pentagonal icositetrahedron (dual to the snub cube)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0974f6151375119.630b4c674f303.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/b9137b151375119.630b4c674fd34.png)
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Rhombic triacontahedron (dual to the icosidodecahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/519640151375119.630b4e573418e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/94df5e151375119.630b4e5731c71.png)
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![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c78ad6151375119.630b4e5733c72.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dd6ba3151375119.630b4e573379f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6ee237151375119.630b4e57332d4.png)
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![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/e1cd02151375119.630b4e57cc1c6.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/4c2668151375119.630b4e57cce47.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f6529f151375119.630b4e57ca6ea.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/63757d151375119.630b4e57cb4a0.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f402fe151375119.630b4e57cd581.png)
Triakis icosahedron (dual to the truncated dodecahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/41912d151375119.630b4e5861a4a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/2163bd151375119.630b4e5860dcb.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/997590151375119.630b4e5861e4e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/5a081b151375119.630b4e58611de.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a4a646151375119.630b4e586098f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/bb28a9151375119.630b4e58622a2.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8e1474151375119.630b4e586013b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/2fb982151375119.630b4e5860586.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f8390e151375119.630b4e5861602.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/1d08e1151375119.630b4e585fcd1.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/3a5ebf151375119.630b4f2d6ee59.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a1db55151375119.630b4f2d6d4fd.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f91df4151375119.630b4f2d71a0c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8a0bcc151375119.630b4f2d6dca8.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c9d9e9151375119.630b4f2d6e4dc.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c14fd8151375119.630b4f2d7018c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/664694151375119.630b4f2d70a4b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8903d2151375119.630b4f2d7218c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/bacbf6151375119.630b4f2d7125e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/4524d6151375119.630b4f2d6f7e0.png)
Pentakis dodecahedron (dual to the truncated icosahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a1c53b151375119.630b4f2de5bed.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/92bd09151375119.630b4f2de9b65.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0acb19151375119.630b4f2de83e5.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/86ad57151375119.630b4f2de65e1.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8076dc151375119.630b4f2de70fa.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/1603e9151375119.630b4f2de8cde.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/e64ea6151375119.630b4f2de941e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/aa5763151375119.630b4f2de5128.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/5dd0b5151375119.630b4f2de7c0d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/b221df151375119.630b4f2dea2ca.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/98c3d6151375119.630b4fdae0a98.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/717411151375119.630b4fdae031c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a7465e151375119.630b4fdae1117.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/2ee929151375119.630b4fdae252f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/53a654151375119.630b4fdae3b82.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/9debdd151375119.630b4fdae17aa.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a37d42151375119.630b4fdae2be0.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/24aa1f151375119.630b4fdae336f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/bac3ad151375119.630b4fdae1e8d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/271016151375119.630b4fdadfbfb.png)
Deltoidal hexecontahedron (dual to the rhombicosidodecahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/66188b151375119.630b4fdb8183d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/039a1a151375119.630b4fdb800ff.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/318b5a151375119.630b4fdb7efef.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/d81d2c151375119.630b4fdb7f8bd.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/77c78d151375119.630b4fdb80886.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/2453e9151375119.630b4fdb82fa2.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/16f873151375119.630b4fdb82836.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/aea24b151375119.630b4fdb81f2e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0a9841151375119.630b4fdb837cb.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f3ff94151375119.630b4fdb8106a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/26b404151375119.630b509314cee.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/855508151375119.630b509315958.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dbdc87151375119.630b509313293.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a65206151375119.630b509312be6.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c6a547151375119.630b50931608a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/9492af151375119.630b50931532c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/a7d3f6151375119.630b509313f8a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/eb6866151375119.630b509313938.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/029bb9151375119.630b50931673b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/70a19d151375119.630b5093145a6.png)
Disdyakis triacontahedron (dual to the truncated icosidodecahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6cff4d151375119.630b5093b0896.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/46e0bd151375119.630b5093b11b9.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6b8815151375119.630b5093ae2af.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/3382fa151375119.630b5093ac4d7.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6f7717151375119.630b5093aec1c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/aa4749151375119.630b5093afeba.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/edb557151375119.630b5093ad948.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/ec96fa151375119.630b5093aba42.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/b303c5151375119.630b5093ad01d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/7c124d151375119.630b5093af56d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/cf3e0a151375119.630b527b1e8d6.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c8a03c151375119.630b527b224f6.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/949810151375119.630b527b1f229.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c4c3b3151375119.630b527b1f9b8.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f4d4d5151375119.630b527b20f5e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0baa55151375119.630b527b20822.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/92ec62151375119.630b527b200d0.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/42f402151375119.630b527b21d96.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/6d7a19151375119.630b527b2167c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0a9126151375119.630b527b22dd8.png)
Pentagonal hexecontahedron (dual to the snub dodecahedron)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/636b31151375119.630b527bcf54f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dc79a1151375119.630b527bcedf2.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/51aa8c151375119.630b527bcb556.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/4fc53c151375119.630b527bcdef4.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8b6c8c151375119.630b527bce689.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/c1adf9151375119.630b527bcac88.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/118e09151375119.630b527bcbe90.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/36de04151375119.630b527bcc6ce.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/85f679151375119.630b527bccfdd.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/42be95151375119.630b527bcd766.png)
Stereographic images: look at the left picture with your right eye and vice versa to see the images in three-dimensions.
The Archimedean solids
![](https://mir-s3-cdn-cf.behance.net/project_modules/1400/52c71a151375119.640e5074ed99a.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/1400/cdb623151375119.640e5074ec116.png)
The Catalan solids
![](https://mir-s3-cdn-cf.behance.net/project_modules/1400/58edd2151375119.640e5075b9333.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/1400/50d7d9151375119.640e5075ba35c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/e011e2151375119.630b6102bfa1b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/d5970d151375119.630b6102c03cc.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/eba7c4151375119.630b6102cbf52.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/0d154d151375119.630b6102cac44.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/844fca151375119.630b6102c505f.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/d1740c151375119.630b6102be85b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/64a3a8151375119.630b6102c5803.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/9cd615151375119.630b6102bdf4b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/2b9599151375119.630b6102cef4e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/489be1151375119.630b6102bf07e.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/838210151375119.630b6102c5fcf.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f6d5ba151375119.630b6102c8b60.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dc9e06151375119.630b6102cb57c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/373614151375119.630b6102ca0cb.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/d0ad53151375119.630b6102c34f5.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/027f4c151375119.630b6102c177b.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/ace7e8151375119.630b6102c3f57.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/8fa5db151375119.630b6102c1f78.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/cc709e151375119.630b6102c9638.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/66910e151375119.630b6102c2962.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/de2c1a151375119.630b6102c752d.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/52bcb4151375119.630b6102c8098.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/191efc151375119.630b6102c6980.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/cf7316151375119.630b6102c4830.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/dc5702151375119.630b6102c0e93.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/be3606151375119.630b6102cdb7c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/d07a7a151375119.630b6102cd1d1.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/91fde9151375119.630b6102cc90c.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/f36f8d151375119.630b6102cf902.png)
![](https://mir-s3-cdn-cf.behance.net/project_modules/max_1200/793725151375119.630b6102ce58d.png)