Talk:Elongated dodecahedron: Difference between revisions
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Wigner-Seitz cell for a body-centered cubic lattice? |
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I added that it has D4h symmetry, which looks like order 16 symmetries. [[User:Tomruen|Tom Ruen]] 02:17, 30 November 2006 (UTC) |
I added that it has D4h symmetry, which looks like order 16 symmetries. [[User:Tomruen|Tom Ruen]] 02:17, 30 November 2006 (UTC) |
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== Wigner-Seitz cell for a body-centered cubic lattice? == |
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I a almost certain that a rhombic dodecahedron is the Wigner-Seitz cell for a *face centered* cubic lattice. Every lattice point in a FCC lattice has 12 nearest neighbors, so the Wigner-Seitz cell should have 12 faces. Every point in a BCC lattice has eight nearest neighbors and six second-nearest neighbors, and the Wigner-Seitz construction produces a truncated octahedron. Maybe the original author was thinking of Brillouin zones, which are Wigner-Seitz cells in reciprocal space. |
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--[[User:Pciszek|Pciszek]] 04:08, 4 January 2007 (UTC) |
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Revision as of 04:08, 4 January 2007
Removed statement just added: Unclear what the "symmeties" are, and not a very useful die with unequal face areas. Tom Ruen 01:47, 30 November 2006 (UTC)
- It has 12 faces,over 120 symetries,and can be used as a 12 sided dice in board games.
I added that it has D4h symmetry, which looks like order 16 symmetries. Tom Ruen 02:17, 30 November 2006 (UTC)
Wigner-Seitz cell for a body-centered cubic lattice?
I a almost certain that a rhombic dodecahedron is the Wigner-Seitz cell for a *face centered* cubic lattice. Every lattice point in a FCC lattice has 12 nearest neighbors, so the Wigner-Seitz cell should have 12 faces. Every point in a BCC lattice has eight nearest neighbors and six second-nearest neighbors, and the Wigner-Seitz construction produces a truncated octahedron. Maybe the original author was thinking of Brillouin zones, which are Wigner-Seitz cells in reciprocal space. --Pciszek 04:08, 4 January 2007 (UTC)