|
|- |bgcolor=#e7dcc3|Edges||14||24 |- |bgcolor=#e7dcc3|Vertices||8||10 |- |bgcolor=#e7dcc3|Vertex configuration ||4 (32.42) 4 (3.42) |4 (34) 4 (35) 2 (36) |- |bgcolor=#e7dcc3|Symmetry |colspan=2|D2h, (), ( *222), order 8 |- |bgcolor=#e7dcc3|Properties |Convex||Deltahedron |- align=center |colspan=3|150px145px Nets |} In geometry, an elongated octahedron (also trapezoidal octahedron) is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices. == As a deltahedral hexadecahedron == It can also be constructed as a hexadecahedron, with 16 triangular faces, 24 edges, and 10 vertices. Starting with the regular octahedron, it is elongated along one axes, adding 8 new triangles. It has 2 sets of 3 coplanar equilateral triangles (each forming a half-hexagon), and thus is not a Johnson solid. 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 20px and 4 triamonds 40px. This construction has been called a triamond stretched octahedron.〔(Convex Triamond Regular Polyhedra )〕 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Elongated octahedron」の詳細全文を読む スポンサード リンク
|