|
|
|
|
|
Truncated Octahedron | bgcolor=#e7dcc3 colspan=2|Truncated octahedron | lign=center colspan=2|
Click on picture for large version.
Click here for spinning version. | | gcolor=#e7dcc3|Type | Archimedean | | gcolor=#e7dcc3|Faces | 6 squares
8 hexagons | | gcolor=#e7dcc3|Edges | 36 | | gcolor=#e7dcc3|Vertices | 24 | | gcolor=#e7dcc3|Vertex configuration | 4,6,6 | | gcolor=#e7dcc3|Symmetry group | octahedral (Oh) | | gcolor=#e7dcc3|Dual polyhedron | tetrakis hexahedron | | gcolor=#e7dcc3|Properties | convex, semi-regular (vertex-uniform), zonohedron | The truncated octahedron is an Archimedean solid. It has 8 regular hexagonal faces, 6 regular square faces, 24 vertices and 36 edges. Since each of its faces has point symmetry (or 180° rotational symmetry), the truncated octahedron is a zonohedron. Canonical coordinates for the vertices of a truncated octahedron centered at the origin are (±2, ±1, 0), (0, ±2, ±1), (±1, 0, ±2), (±1, ±2, 0), (0, ±1, ±2), (±2, 0, ±1), note that the coordinates form a lot of rectangles parallel with the coordinate system axes. Truncated octahedra are able to tessellate 3-dimensional space, forming an Andreini tessellation. This tessellation can also be seen as the Voronoi tessellation of the body-centred cubic lattice.
See also External links
|
 |
|
| Copyright 2005-2009 OnPedia.com. All Rights Reserved |
|
|