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The truncated octahedron has 14 faces (8 regular hexagons and 6 squares), 36 edges, and 24 vertices. Since each of its faces has point symmetry the truncated octahedron is a 6-zonohedron. It is also the Goldberg polyhedron G IV (1,1), containing square and hexagonal faces. Like the cube, it can tessellate (or "pack") 3-dimensional space, as a ...
English: A diagram showing how an en:octahedron is made into a truncated octahedron (blue) by removing square pyramids from each face (red). Français : Diagramme montrant comment on obtient un tétrakaidécaèdre d'Archimède (ou octaèdre tronqué ) en tronquant les 6 sommets d'un octaèdre régulier à hauteur du tiers de chaque arête.
The cantic cubic honeycomb, cantic cubic cellulation or truncated half cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of truncated octahedra, cuboctahedra and truncated tetrahedra in a ratio of 1:1:2. Its vertex figure is a rectangular pyramid.
In geometry, the rectified truncated octahedron is a convex polyhedron, constructed as a rectified, truncated octahedron. It has 38 faces: 24 isosceles triangles , 6 squares , and 8 hexagons .
The truncated order-4 octahedral honeycomb, t 0,1 {3,4,4}, has truncated octahedron and square tiling facets, with a square pyramid vertex figure. Bitruncated order-4 octahedral honeycomb [ edit ]
The parallel projection of the truncated 24-cell into 3-dimensional space, truncated octahedron first, has the following layout: The projection envelope is a truncated cuboctahedron . Two of the truncated octahedra project onto a truncated octahedron lying in the center of the envelope.
Octahedron-first parallel projection into 3 dimensions, with octahedral cells highlighted. The octahedron-first parallel projection of the truncated 16-cell into 3-dimensional space has the following structure: The projection envelope is a truncated octahedron. The 6 square faces of the envelope are the images of 6 of the octahedral cells.
The cyclotruncated cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from truncated cube and octahedron cells, in a square antiprism vertex figure. It has a Coxeter diagram . Perspective view from center of octahedron. It can be seen as somewhat analogous to the trioctagonal tiling, which has truncated square and triangle ...