![]() The Cartesian coordinates of the 8 vertices of an elongated octahedron, elongated in the x-axis, with edge length 2 are: It would have 8 vertices, 10 edges, and 4 faces. It could also be seen as a folded tetrahedron also seeing pairs of end triangles as a folded rhombus. It will have 6 faces (4 triangles, and 2 hexagons), 12 edges, and 8 vertices. As a folded hexahedron Īnother interpretation can represent this solid as a hexahedron, by considering pairs of trapezoids as a folded regular hexagon. This construction has been called a triamond stretched octahedron. ![]() If the sets of coplanar triangles are considered a single isosceles trapezoidal face (a triamond), it has 8 vertices, 14 edges, and 8 faces - 4 triangles and 4 triamonds. It has 2 sets of 3 coplanar equilateral triangles (each forming a half- hexagon), and thus is not a Johnson solid. ![]() Starting with the regular octahedron, it is elongated along one axes, adding 8 new triangles. ![]() In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices.Ī related construction is a hexadecahedron, 16 triangular faces, 24 edges, and 10 vertices. For the octahedron elongated as a square bipyramid, see Elongated square bipyramid.
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