https://dictionary.iucr.org/index.php?action=history&feed=atom&title=Euclidean_mapping
Euclidean mapping - Revision history
2026-06-03T21:42:55Z
Revision history for this page on the wiki
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https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=4452&oldid=prev
BrianMcMahon: Tidied translations and added German (U. Mueller)
2017-11-13T09:45:45Z
<p>Tidied translations and added German (U. Mueller)</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:45, 13 November 2017</td>
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BrianMcMahon
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=4343&oldid=prev
MassimoNespolo: lang
2017-10-12T08:59:21Z
<p>lang</p>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=3990&oldid=prev
BrianMcMahon: Style edits to align with printed edition
2017-05-13T13:55:45Z
<p>Style edits to align with printed edition</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 13:55, 13 May 2017</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
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BrianMcMahon
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=3277&oldid=prev
MassimoNespolo at 14:05, 30 April 2012
2012-04-30T14:05:29Z
<p></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 14:05, 30 April 2012</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>The '''Euclidean mapping''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''.</div></td><td class='diff-marker'>+</td><td style="color:black; 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>The '''Euclidean mapping<ins class="diffchange diffchange-inline">''' or '''isometry</ins>''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Euclidean mappings are of three types:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Euclidean mappings are of three types:</div></td></tr>
</table>
MassimoNespolo
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=2579&oldid=prev
MassimoNespolo at 09:42, 11 May 2007
2007-05-11T09:42:09Z
<p></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:42, 11 May 2007</td>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=2552&oldid=prev
MassimoNespolo at 14:17, 23 April 2007
2007-04-23T14:17:38Z
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 14:17, 23 April 2007</td>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The '''Euclidean mapping''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The '''Euclidean mapping''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Euclidean_mapping&diff=2339&oldid=prev
MassimoNespolo at 19:26, 24 February 2007
2007-02-24T19:26:40Z
<p></p>
<p><b>New page</b></p><div>The '''Euclidean mapping''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''.<br />
<br />
Euclidean mappings are of three types:<br />
* translations<br />
* rotations<br />
* reflections.<br />
<br />
A special case of Euclidean mapping is a [[symmetry operation]].<br />
<br />
[[Category:Fundamental crystallography]]</div>
MassimoNespolo