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  2. Truncated octahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_octahedron

    3D model of a truncated octahedron. The truncated octahedron is one of the thirteen Archimedean solids. In other words, it has a highly symmetric and semi-regular polyhedron with two or more different regular polygonal faces that meet in a vertex. [3] The dual polyhedron of a truncated octahedron is the tetrakis hexahedron.

  3. File:Truncated octahedron.stl - Wikipedia

    en.wikipedia.org/wiki/File:Truncated_octahedron.stl

    The uploader of this file has agreed to the Wikimedia Foundation 3D patent license: This file and any 3D objects depicted in the file are both my own work. I hereby grant to each user, maker, or distributor of the object depicted in the file a worldwide, royalty-free, fully-paid-up, nonexclusive, irrevocable and perpetual license at no additional cost under any patent or patent application I ...

  4. Archimedean solid - Wikipedia

    en.wikipedia.org/wiki/Archimedean_solid

    Interactive 3D polyhedra in Java; Solid Body Viewer is an interactive 3D polyhedron viewer which allows you to save the model in svg, stl or obj format. Stella: Polyhedron Navigator: Software used to create many of the images on this page. Paper Models of Archimedean (and other) Polyhedra

  5. Truncated icosahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_icosahedron

    3D model of a truncated icosahedron In geometry , the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron 's vertices. Intuitively, it may be regarded as footballs (or soccer balls) that are typically patterned with white hexagons and black pentagons.

  6. Truncated cube - Wikipedia

    en.wikipedia.org/wiki/Truncated_cube

    3D model of a truncated cube. In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices. If the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and δ S +1, where δ S is the silver ratio, √ 2 +1.

  7. Octahedron - Wikipedia

    en.wikipedia.org/wiki/Octahedron

    3D model of regular octahedron. The surface area ... Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, ...

  8. Space-filling polyhedron - Wikipedia

    en.wikipedia.org/wiki/Space-filling_polyhedron

    Any parallelepiped tessellates Euclidean 3-space, as do the five parallelohedra including the cube, hexagonal prism, truncated octahedron, and rhombic dodecahedron. Other space-filling polyhedra include the plesiohedra and stereohedra , polyhedra whose tilings have symmetries taking every tile to every other tile, including the gyrobifastigium ...

  9. Pentagonal hexecontahedron - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_hexecontahedron

    3D model of a pentagonal hexecontahedron The faces are irregular pentagons with two long edges and three short edges. Let ξ ≈ 0.943 151 259 24 {\displaystyle \xi \approx 0.943\,151\,259\,24} be the real zero of the polynomial x 3 + 2 x 2 − ϕ 2 {\displaystyle x^{3}+2x^{2}-\phi ^{2}} .