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Archimedean solids

  1. 10

    Truncated icosahedron

    Archimedean solid

  2. 11

    Rhombicosidodecahedron

    Archimedean solid

  3. 12

    Truncated icosidodecahedron

    Archimedean solid

  4. 13

    Snub dodecahedron

    Archimedean solid

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About this collection13 items

Truncated solids, cuboctahedron, snub cube and other convex shapes with regular polygon faces.

A themed selection by Fav Tings. Display order is for browsing, not a ranking.

Numbers show collection order, not a source rating.

  1. Truncated tetrahedron — Archimedean solid
  2. Cuboctahedron — Archimedean solid
  3. Truncated cube — Archimedean solid
  4. Truncated octahedron — Archimedean solid
  5. Rhombicuboctahedron — Archimedean solid
  6. Truncated cuboctahedron — Archimedean solid
  7. Snub cube — Archimedean solid
  8. Icosidodecahedron — Archimedean solid
  9. Truncated dodecahedron — Archimedean solid
  10. Truncated icosahedron — Archimedean solid
  11. Rhombicosidodecahedron — Archimedean solid
  12. Truncated icosidodecahedron — Archimedean solid
  13. Snub dodecahedron — Archimedean solid
Polyhedron sources
  1. Truncated tetrahedron: definition reference · 12 vertices, 18 edges, 8 faces
  2. Cuboctahedron: definition reference · 12 vertices, 24 edges, 14 faces
  3. Truncated cube: definition reference · 24 vertices, 36 edges, 14 faces
  4. Truncated octahedron: definition reference · 24 vertices, 36 edges, 14 faces
  5. Rhombicuboctahedron: definition reference · 24 vertices, 48 edges, 26 faces
  6. Truncated cuboctahedron: definition reference · 48 vertices, 72 edges, 26 faces
  7. Snub cube: definition reference · 24 vertices, 60 edges, 38 faces · One enantiomer, never mirrored: even permutations of (±1, ±1/t, ±t) with an even number of plus signs and odd permutations with an odd number of plus signs, t the tribonacci constant; its mirror image is the same favorite.
  8. Icosidodecahedron: definition reference · 30 vertices, 60 edges, 32 faces
  9. Truncated dodecahedron: definition reference · 60 vertices, 90 edges, 32 faces
  10. Truncated icosahedron: definition reference · 60 vertices, 90 edges, 32 faces
  11. Rhombicosidodecahedron: definition reference · 60 vertices, 120 edges, 62 faces
  12. Truncated icosidodecahedron: definition reference · 120 vertices, 180 edges, 62 faces
  13. Snub dodecahedron: definition reference · 60 vertices, 150 edges, 92 faces · One enantiomer, never mirrored: the icosahedral rotation orbit of the point inside the spherical triangle spanned by the axes (0, 1, φ), (1, 1, 1) and (1, 1 + φ, φ) that is equidistant from its images under 72° about the first, 120° about the second and 180° about the third; its mirror image is the same favorite.

Polyhedron images are diagrams rendered by Fav Tings from geometry computed from each solid’s mathematical definition, not photographs of models. References are English Wikipedia articles, used as factual cross-references; nothing is copied from them.

Polyhedra: diagrams rendered by Fav Tings from standard mathematical definitions · references: Wikipedia.