https://mediawiki3d.org/index.php?action=history&feed=atom&title=M%C3%B6bius_stripMöbius strip - Revision history2026-04-26T17:50:56ZRevision history for this page on the wikiMediaWiki 1.44.0https://mediawiki3d.org/index.php?title=M%C3%B6bius_strip&diff=3523&oldid=prevOpenDEM 1 at 19:08, 17 August 20252025-08-17T19:08:34Z<p></p>
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<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>{{Use list-defined references|date=March 2022}}</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>{{Use list-defined references|date=March 2022}}</div></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>[[File:Mobius_strips.glb|thumb|right|A 3d model of a Möbius <del style="font-weight: bold; text-decoration: none;">strip</del>]]</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>[[File:Mobius_strips.glb|thumb|right|A 3d model of <ins style="font-weight: bold; text-decoration: none;">different </ins>a Möbius <ins style="font-weight: bold; text-decoration: none;">strips</ins>]]</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>In [[mathematics]], a '''Möbius strip''', '''Möbius band''', or '''Möbius loop'''{{efn|1=Pronounced {{IPAc-en|US|ˈ|m|oʊ|b|i|ə|s|,_|ˈ|m|eɪ|-}} {{respell|MOH|bee|əs|,_|MAY|-}}, {{IPAc-en|UK|ˈ|m|ɜː|b|i|ə|s}};<ref>{{cite LPD|3}}</ref> {{IPA|de|ˈmøːbi̯ʊs|lang}}. As is common for words containing an [[umlaut (diacritic)|umlaut]], it is also often spelled ''Mobius'' or ''Moebius''.}} is a [[Surface (topology)|surface]] that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by [[Johann Benedict Listing]] and [[August Ferdinand Möbius]] in 1858, but it had already appeared in [[Ancient Rome|Roman]] mosaics from the third century [[Common Era|CE]]. The Möbius strip is a [[orientability|non-orientable]] surface, meaning that within it one cannot consistently distinguish [[clockwise]] from counterclockwise turns. Every non-orientable surface contains a Möbius strip.</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>In [[mathematics]], a '''Möbius strip''', '''Möbius band''', or '''Möbius loop'''{{efn|1=Pronounced {{IPAc-en|US|ˈ|m|oʊ|b|i|ə|s|,_|ˈ|m|eɪ|-}} {{respell|MOH|bee|əs|,_|MAY|-}}, {{IPAc-en|UK|ˈ|m|ɜː|b|i|ə|s}};<ref>{{cite LPD|3}}</ref> {{IPA|de|ˈmøːbi̯ʊs|lang}}. As is common for words containing an [[umlaut (diacritic)|umlaut]], it is also often spelled ''Mobius'' or ''Moebius''.}} is a [[Surface (topology)|surface]] that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by [[Johann Benedict Listing]] and [[August Ferdinand Möbius]] in 1858, but it had already appeared in [[Ancient Rome|Roman]] mosaics from the third century [[Common Era|CE]]. The Möbius strip is a [[orientability|non-orientable]] surface, meaning that within it one cannot consistently distinguish [[clockwise]] from counterclockwise turns. Every non-orientable surface contains a Möbius strip.</div></td></tr>
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</table>OpenDEM 1https://mediawiki3d.org/index.php?title=M%C3%B6bius_strip&diff=3522&oldid=prevOpenDEM 1 at 19:07, 17 August 20252025-08-17T19:07:51Z<p></p>
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<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>{{Use mdy dates|cs1-dates=ly|date=March 2022}}</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>{{Use mdy dates|cs1-dates=ly|date=March 2022}}</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>{{Use list-defined references|date=March 2022}}</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>{{Use list-defined references|date=March 2022}}</div></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>[[File:<del style="font-weight: bold; text-decoration: none;">Möbius Strip</del>.<del style="font-weight: bold; text-decoration: none;">jpg</del>|thumb|right|A <del style="font-weight: bold; text-decoration: none;">paper </del>Möbius strip]]</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>[[File:<ins style="font-weight: bold; text-decoration: none;">Mobius_strips</ins>.<ins style="font-weight: bold; text-decoration: none;">glb</ins>|thumb|right|A <ins style="font-weight: bold; text-decoration: none;">3d model of a </ins>Möbius strip]]</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>In [[mathematics]], a '''Möbius strip''', '''Möbius band''', or '''Möbius loop'''{{efn|1=Pronounced {{IPAc-en|US|ˈ|m|oʊ|b|i|ə|s|,_|ˈ|m|eɪ|-}} {{respell|MOH|bee|əs|,_|MAY|-}}, {{IPAc-en|UK|ˈ|m|ɜː|b|i|ə|s}};<ref>{{cite LPD|3}}</ref> {{IPA|de|ˈmøːbi̯ʊs|lang}}. As is common for words containing an [[umlaut (diacritic)|umlaut]], it is also often spelled ''Mobius'' or ''Moebius''.}} is a [[Surface (topology)|surface]] that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by [[Johann Benedict Listing]] and [[August Ferdinand Möbius]] in 1858, but it had already appeared in [[Ancient Rome|Roman]] mosaics from the third century [[Common Era|CE]]. The Möbius strip is a [[orientability|non-orientable]] surface, meaning that within it one cannot consistently distinguish [[clockwise]] from counterclockwise turns. Every non-orientable surface contains a Möbius strip.</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>In [[mathematics]], a '''Möbius strip''', '''Möbius band''', or '''Möbius loop'''{{efn|1=Pronounced {{IPAc-en|US|ˈ|m|oʊ|b|i|ə|s|,_|ˈ|m|eɪ|-}} {{respell|MOH|bee|əs|,_|MAY|-}}, {{IPAc-en|UK|ˈ|m|ɜː|b|i|ə|s}};<ref>{{cite LPD|3}}</ref> {{IPA|de|ˈmøːbi̯ʊs|lang}}. As is common for words containing an [[umlaut (diacritic)|umlaut]], it is also often spelled ''Mobius'' or ''Moebius''.}} is a [[Surface (topology)|surface]] that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by [[Johann Benedict Listing]] and [[August Ferdinand Möbius]] in 1858, but it had already appeared in [[Ancient Rome|Roman]] mosaics from the third century [[Common Era|CE]]. The Möbius strip is a [[orientability|non-orientable]] surface, meaning that within it one cannot consistently distinguish [[clockwise]] from counterclockwise turns. Every non-orientable surface contains a Möbius strip.</div></td></tr>
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</table>OpenDEM 1https://mediawiki3d.org/index.php?title=M%C3%B6bius_strip&diff=3507&oldid=prevOpenDEM 1: 1 revision imported from :wikipedia:en:Möbius_strip2025-08-17T19:06:58Z<p>1 revision imported from <a href="https://en.wikipedia.org/wiki/en:M%C3%B6bius_strip" class="extiw" title="wikipedia:en:Möbius strip">wikipedia:en:Möbius_strip</a></p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:06, 17 August 2025</td>
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</td></tr></table>OpenDEM 1https://mediawiki3d.org/index.php?title=M%C3%B6bius_strip&diff=3506&oldid=prevwikipedia:en>Jacobolus: /* In popular culture */ flip sentence around a bit2025-08-14T11:21:10Z<p><span class="autocomment">In popular culture: </span> flip sentence around a bit</p>
<a href="https://mediawiki3d.org/index.php?title=M%C3%B6bius_strip&diff=3506">Show changes</a>wikipedia:en>Jacobolus