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Catalan solids

  1. 1

    Triakis tetrahedron

    Catalan solid

  2. 2

    Rhombic dodecahedron

    Catalan solid

  3. 3

    Triakis octahedron

    Catalan solid

  4. 4

    Tetrakis hexahedron

    Catalan solid

  5. 5

    Deltoidal icositetrahedron

    Catalan solid

  6. 6

    Disdyakis dodecahedron

    Catalan solid

  7. 7

    Pentagonal icositetrahedron

    Catalan solid

  8. 8

    Rhombic triacontahedron

    Catalan solid

  9. 9

    Triakis icosahedron

    Catalan solid

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About this collection13 items

Rhombic dodecahedron, triakis tetrahedron and other duals of the Archimedean solids.

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

Numbers show collection order, not a source rating.

  1. Triakis tetrahedron — Catalan solid
  2. Rhombic dodecahedron — Catalan solid
  3. Triakis octahedron — Catalan solid
  4. Tetrakis hexahedron — Catalan solid
  5. Deltoidal icositetrahedron — Catalan solid
  6. Disdyakis dodecahedron — Catalan solid
  7. Pentagonal icositetrahedron — Catalan solid
  8. Rhombic triacontahedron — Catalan solid
  9. Triakis icosahedron — Catalan solid
  10. Pentakis dodecahedron — Catalan solid
  11. Deltoidal hexecontahedron — Catalan solid
  12. Disdyakis triacontahedron — Catalan solid
  13. Pentagonal hexecontahedron — Catalan solid
Polyhedron sources
  1. Triakis tetrahedron: definition reference · 8 vertices, 18 edges, 12 faces
  2. Rhombic dodecahedron: definition reference · 14 vertices, 24 edges, 12 faces
  3. Triakis octahedron: definition reference · 14 vertices, 36 edges, 24 faces
  4. Tetrakis hexahedron: definition reference · 14 vertices, 36 edges, 24 faces
  5. Deltoidal icositetrahedron: definition reference · 26 vertices, 48 edges, 24 faces
  6. Disdyakis dodecahedron: definition reference · 26 vertices, 72 edges, 48 faces
  7. Pentagonal icositetrahedron: definition reference · 38 vertices, 60 edges, 24 faces · Polar reciprocal of the recorded snub cube enantiomer (same handedness), never mirrored; its mirror image is the same favorite.
  8. Rhombic triacontahedron: definition reference · 32 vertices, 60 edges, 30 faces
  9. Triakis icosahedron: definition reference · 32 vertices, 90 edges, 60 faces
  10. Pentakis dodecahedron: definition reference · 32 vertices, 90 edges, 60 faces
  11. Deltoidal hexecontahedron: definition reference · 62 vertices, 120 edges, 60 faces
  12. Disdyakis triacontahedron: definition reference · 62 vertices, 180 edges, 120 faces
  13. Pentagonal hexecontahedron: definition reference · 92 vertices, 150 edges, 60 faces · Polar reciprocal of the recorded snub dodecahedron enantiomer (same handedness), never mirrored; 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.