http://www.sklogwiki.org/SklogWiki/index.php?action=history&feed=atom&title=Dual_lattice 2026-04-26T07:12:08Z Revision history for this page on the wiki MediaWiki 1.41.0 http://www.sklogwiki.org/SklogWiki/index.php?title=Dual_lattice&diff=5798&oldid=prev 2008-02-13T10:24:08Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 13 February 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A dual lattice results from an original one by assigning cells to each of</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A <ins style="font-weight: bold; text-decoration: none;">'''</ins>dual lattice<ins style="font-weight: bold; text-decoration: none;">''' </ins>results from an original one by assigning cells to each of</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>the original nodes. The cell around each node includes all point that are</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>the original nodes. The cell around each node includes all point that are</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>closer to the node than to any other node. The resulting lattice is the dual</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>closer to the node than to any other node. The resulting lattice is the dual</div></td></tr> </table>

Nice and Tidy http://www.sklogwiki.org/SklogWiki/index.php?title=Dual_lattice&diff=5797&oldid=prev 2008-02-13T10:23:51Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:23, 13 February 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l14">Line 14:</td> <td colspan="2" class="diff-lineno">Line 14:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>| [[building up a triangular lattice | triangular lattice]] || [[ building up a honeycomb lattice | honeycomb lattice ]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>| [[building up a triangular lattice | triangular lattice]] || [[ building up a honeycomb lattice | honeycomb lattice ]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[category: mathematics]]</ins></div></td></tr> </table>

Nice and Tidy http://www.sklogwiki.org/SklogWiki/index.php?title=Dual_lattice&diff=4715&oldid=prev 2007-10-30T13:14:39Z

<p>New page: A dual lattice results from an original one by assigning cells to each of the original nodes. The cell around each node includes all point that are closer to the node than to any other nod...</p> <p><b>New page</b></p><div>A dual lattice results from an original one by assigning cells to each of<br /> the original nodes. The cell around each node includes all point that are<br /> closer to the node than to any other node. The resulting lattice is the dual<br /> of the original one. The dual of the dual is the original lattice.<br /> <br /> Some well known duals:<br /> <br /> {| border=&quot;1&quot;<br /> |- <br /> | [[voronoi cells | voronoi triangulation]] || [[Delaunay triangulation]]<br /> |- <br /> | [[building up a square lattice | square lattice]] || [[building up a square lattice | square lattice]] (it&#039;s &#039;&#039;self-dual&#039;&#039;)<br /> |-<br /> | [[building up a triangular lattice | triangular lattice]] || [[ building up a honeycomb lattice | honeycomb lattice ]]<br /> |}</div>

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