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All following user names refer to en.wikipedia.</div> <div class="mw-heading mw-heading2"><h2 id="Summary">Summary</h2></div> <p>Symmetry Group D<sub>3h</sub> or *223 on the sphere (3-fold prismatic reflective symmetry). </p><p>Yellow triangle is fundamental domain. Numbers are the reflection symmetry order at each node. </p><p>This full figure also represents the edges of the polyhedron (V4.4.6) <a href="//commons.wikimedia.org/w/index.php?title=Hexagonal_dipyramid&action=edit&redlink=1" class="new" title="Hexagonal dipyramid (page does not exist)">hexagonal dipyramid</a> expanded onto the surface of a sphere. </p> <div class="mw-heading mw-heading2"><h2 id="Licensing">Licensing</h2></div> <table class="licensetpl" style="display:none"> <tbody><tr> <td><span class="licensetpl_short">Public domain</span><span class="licensetpl_long">Public domain</span><span class="licensetpl_link_req">false</span><span class="licensetpl_attr_req">false</span> </td></tr></tbody></table> <table style="width: 100%; clear: both; margin: 0.5em auto; background-color: var(--background-color-neutral-subtle, #f7f8ff); color: var(--color-base, #202122); border: var(--border-subtle, 2px solid #8888aa); border-spacing: 8px; padding: 0px;" dir="ltr" class="layouttemplate" lang="en"> <tbody><tr> <td><span typeof="mw:File"><span title="Public domain"><img alt="Public domain" src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/64px-PD-icon.svg.png" decoding="async" width="64" height="64" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/96px-PD-icon.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/128px-PD-icon.svg.png 2x" data-file-width="196" data-file-height="196"></span></span> </td> <td>I, the copyright holder of this work, release this work into the <b><a href="https://en.wikipedia.org/wiki/en:public_domain" class="extiw" title="w:en:public domain">public domain</a></b>. This applies worldwide.<br><small>In some countries this may not be legally possible; if so:</small><br><i>I grant anyone the right to use this work <b>for any purpose</b>, without any conditions, unless such conditions are required by law.</i> </td></tr></tbody></table> <table border="1"> <tbody><tr> <th>date/time</th> <th>username</th> <th>edit summary </th></tr> <tr> <td>06:19, 12 October 2005</td> <td><a href="https://en.wikipedia.org/wiki/User:Tomruen" class="extiw" title="en:User:Tomruen">en:User:Tomruen</a></td> <td> </td></tr> <tr> <td>06:36, 10 October 2005</td> <td><a href="https://en.wikipedia.org/wiki/User:Tomruen" class="extiw" title="en:User:Tomruen">en:User:Tomruen</a></td> <td>(add summary) </td></tr></tbody></table> <div class="mw-heading mw-heading4"><h4 id="Original_upload_log">Original upload log</h4></div> <p>Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. </p><p>Click on date to download the file or see the image uploaded on that date. </p> <ul><li>(del) (cur) 23:51, 11 October 2005 . . <a href="https://en.wikipedia.org/wiki/User:Tomruen" class="extiw" title="en:User:Tomruen">en:User:Tomruen</a> Tomruen ( <a href="https://en.wikipedia.org/wiki/User_talk:Tomruen" class="extiw" title="en:User talk:Tomruen">en:User_talk:Tomruen</a> Talk) . . 621x620 (30754 bytes) (== Summary == Symmetry Group D<sub>2h</sub> or *223 on the sphere (3-fold prismatic reflective symmetry). 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href="https://www.wikidata.org/wiki/Special:EntityPage/Q98592850">released into the public domain by the copyright holder</a></bdi></h4></div></div></div></div></div></div></div></div></mediainfoviewstatements></mediainfoview>    </div></div> <h2 id="filehistory">File history</h2> <div id="mw-imagepage-section-filehistory"> <p>Click on a date/time to view the file as it appeared at that time. </p> <table class="wikitable filehistory"> <tr><th></th><th>Date/Time</th><th>Thumbnail</th><th>Dimensions</th><th>User</th><th>Comment</th></tr> <tr><td>current</td><td class="filehistory-selected" style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/9/9d/Sphere_symmetry_group_d3h.png">23:51, 29 November 2014</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/9/9d/Sphere_symmetry_group_d3h.png"><img alt="Thumbnail for version as of 23:51, 29 November 2014" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9d/Sphere_symmetry_group_d3h.png/120px-Sphere_symmetry_group_d3h.png" decoding="async" loading="lazy" width="120" height="120" data-file-width="621" data-file-height="620" /></a></td><td>621 × 620 <span style="white-space: nowrap;">(30 KB)</span></td><td><a href="/wiki/User:Tomruen" class="mw-userlink" title="User:Tomruen"><bdi>Tomruen</bdi></a></td><td dir="ltr">trans</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/9d/20141129235159%21Sphere_symmetry_group_d3h.png">15:47, 19 March 2006</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/9d/20141129235159%21Sphere_symmetry_group_d3h.png"><img alt="Thumbnail for version as of 15:47, 19 March 2006" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/9d/20141129235159%21Sphere_symmetry_group_d3h.png/120px-Sphere_symmetry_group_d3h.png" decoding="async" loading="lazy" width="120" height="120" data-file-width="621" data-file-height="620" /></a></td><td>621 × 620 <span style="white-space: nowrap;">(30 KB)</span></td><td><a href="/wiki/User:Maksim" class="mw-userlink" title="User:Maksim"><bdi>Maksim</bdi></a></td><td dir="ltr">La bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Summary == Symmetry Group D<sub>3h</sub> or *223 on the sphere (3-fold prismatic reflective symmetry). Yellow triangle is fundamental domain. Numbers are the reflection symmetry or</td></tr> </table> </div> <h2 id="filelinks">File usage</h2> <div id='mw-imagepage-section-linkstoimage'> <p>The following 16 pages use this file: </p><ul class="mw-imagepage-linkstoimage"> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Cyclic_symmetry_in_three_dimensions" title="Cyclic symmetry in three dimensions">Cyclic symmetry in three dimensions</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Dihedral_symmetry_in_three_dimensions" title="Dihedral symmetry in three dimensions">Dihedral symmetry in three dimensions</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Icosahedral_symmetry" title="Icosahedral symmetry">Icosahedral symmetry</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">List of spherical symmetry groups</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Octahedral_symmetry" title="Octahedral symmetry">Octahedral symmetry</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Point_groups_in_three_dimensions" title="Point groups in three dimensions">Point groups in three dimensions</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Polyhedral_group" title="Polyhedral group">Polyhedral group</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Schwarz_triangle" title="Schwarz triangle">Schwarz triangle</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Tetrahedral_symmetry" title="Tetrahedral symmetry">Tetrahedral symmetry</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Uniform_polyhedron" title="Uniform polyhedron">Uniform polyhedron</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Uniform_tilings_in_hyperbolic_plane" title="Uniform tilings in hyperbolic plane">Uniform tilings in hyperbolic plane</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Archimedean_solid" title="Talk:Archimedean solid">Talk:Archimedean solid</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Triangle_group" title="Talk:Triangle group">Talk:Triangle group</a></li> <li class="mw-imagepage-linkstoimage-ns2"><a href="/wiki/User:The_Nth_User" title="User:The Nth User">User:The Nth User</a></li> <li class="mw-imagepage-linkstoimage-ns2"><a href="/wiki/User:The_Nth_User/Extended_Archimedean_solid_table" title="User:The Nth User/Extended Archimedean solid table">User:The Nth User/Extended Archimedean solid table</a></li> <li class="mw-imagepage-linkstoimage-ns10"><a href="/wiki/Template:3d_point_group_navigator" title="Template:3d point group navigator">Template:3d point group navigator</a></li> </ul> </div> <h2 id="globalusage">Global file usage</h2> <div id="mw-imagepage-section-globalusage"><p>The following other wikis use this file: </p><ul> <li class='mw-gu-onwiki-en_wikibooks_org'>Usage on en.wikibooks.org <ul> <li><a class="external" href="https://en.wikibooks.org/wiki/User:Soul_windsurfer">User:Soul windsurfer</a></li> </ul></li> <li class='mw-gu-onwiki-eo_wikipedia_org'>Usage on eo.wikipedia.org <ul> <li><a class="external" href="https://eo.wikipedia.org/wiki/Simbolo_de_Wythoff">Simbolo de Wythoff</a></li> <li><a class="external" href="https://eo.wikipedia.org/wiki/Triangulo_de_Schwarz">Triangulo de Schwarz</a></li> </ul></li> <li class='mw-gu-onwiki-es_wikipedia_org'>Usage on es.wikipedia.org <ul> <li><a class="external" href="https://es.wikipedia.org/wiki/Poliedro_uniforme">Poliedro uniforme</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Simetr%C3%ADa_icosa%C3%A9drica">Simetría icosaédrica</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Plantilla:Grupo_de_puntos_en_3d">Plantilla:Grupo de puntos en 3d</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Simetr%C3%ADa_tetra%C3%A9drica">Simetría tetraédrica</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Simetr%C3%ADa_octa%C3%A9drica">Simetría octaédrica</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Anexo:Grupos_de_simetr%C3%ADa_esf%C3%A9rica">Anexo:Grupos de simetría esférica</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Simetr%C3%ADa_c%C3%ADclica_en_tres_dimensiones">Simetría cíclica en tres dimensiones</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Simetr%C3%ADa_di%C3%A9drica_en_tres_dimensiones">Simetría diédrica en tres dimensiones</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Grupos_de_puntos_en_tres_dimensiones">Grupos de puntos en tres dimensiones</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Grupo_poli%C3%A9drico">Grupo poliédrico</a></li> <li><a class="external" href="https://es.wikipedia.org/wiki/Tri%C3%A1ngulo_de_Schwarz">Triángulo de Schwarz</a></li> </ul></li> <li class='mw-gu-onwiki-fa_wikipedia_org'>Usage on fa.wikipedia.org <ul> <li><a class="external" href="https://fa.wikipedia.org/wiki/%D8%A7%D9%84%DA%AF%D9%88:%D9%86%D8%A7%D9%88%D8%A8%D8%B1%DB%8C_%DA%AF%D8%B1%D9%88%D9%87_%D9%86%D9%82%D8%B7%D9%87%E2%80%8C%D8%A7%DB%8C_%D8%B3%D9%87%E2%80%8C%D8%A8%D8%B9%D8%AF%DB%8C">الگو:ناوبری گروه نقطه‌ای سه‌بعدی</a></li> <li><a class="external" href="https://fa.wikipedia.org/wiki/%DA%AF%D8%B1%D9%88%D9%87_%D9%86%D9%82%D8%B7%D9%87%E2%80%8C%D8%A7%DB%8C_%D8%AF%D8%B1_%D8%B3%D9%87_%D8%A8%D8%B9%D8%AF">گروه نقطه‌ای در سه بعد</a></li> </ul></li> <li class='mw-gu-onwiki-fi_wikipedia_org'>Usage on fi.wikipedia.org <ul> <li><a class="external" href="https://fi.wikipedia.org/wiki/Uniforminen_monitahokas">Uniforminen monitahokas</a></li> <li><a class="external" href="https://fi.wikipedia.org/wiki/Ikosaedrinen_symmetria">Ikosaedrinen symmetria</a></li> <li><a class="external" href="https://fi.wikipedia.org/wiki/Diedrinen_symmetria_kolmessa_ulottuvuudessa">Diedrinen symmetria kolmessa ulottuvuudessa</a></li> </ul></li> <li class='mw-gu-onwiki-fr_wikipedia_org'>Usage on fr.wikipedia.org <ul> <li><a class="external" href="https://fr.wikipedia.org/wiki/Symbole_de_Wythoff">Symbole de Wythoff</a></li> </ul></li> <li class='mw-gu-onwiki-id_wikipedia_org'>Usage on id.wikipedia.org <ul> <li><a class="external" href="https://id.wikipedia.org/wiki/Daftar_grup_simetri_bola_hingga">Daftar grup simetri bola hingga</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Templat:Titik_navigator_grup_3D">Templat:Titik navigator grup 3D</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_15">Pengguna:Klasüo/bak pasir/Arsip 15</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Grup_titik_dalam_tiga_dimensi">Grup titik dalam tiga dimensi</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_16">Pengguna:Klasüo/bak pasir/Arsip 16</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_17">Pengguna:Klasüo/bak pasir/Arsip 17</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Simetri_siklik_dalam_tiga_dimensi">Simetri siklik dalam tiga dimensi</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_18">Pengguna:Klasüo/bak pasir/Arsip 18</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Simetri_dihedral_dalam_tiga_dimensi">Simetri dihedral dalam tiga dimensi</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_19">Pengguna:Klasüo/bak pasir/Arsip 19</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Grup_polihedral">Grup polihedral</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_20">Pengguna:Klasüo/bak pasir/Arsip 20</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Simetri_tetrahedral">Simetri tetrahedral</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_21">Pengguna:Klasüo/bak pasir/Arsip 21</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Simetri_oktahedral">Simetri oktahedral</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Pengguna:Klas%C3%BCo/bak_pasir/Arsip_22">Pengguna:Klasüo/bak pasir/Arsip 22</a></li> <li><a class="external" href="https://id.wikipedia.org/wiki/Simetri_ikosahedral">Simetri ikosahedral</a></li> </ul></li> <li class='mw-gu-onwiki-it_wikipedia_org'>Usage on it.wikipedia.org <ul> <li><a class="external" href="https://it.wikipedia.org/wiki/Triangolo_di_Schwarz">Triangolo di Schwarz</a></li> </ul></li> <li class='mw-gu-onwiki-ko_wikipedia_org'>Usage on ko.wikipedia.org <ul> <li><a class="external" href="https://ko.wikipedia.org/wiki/%EA%B3%A0%EB%A5%B8_%EB%8B%A4%EB%A9%B4%EC%B2%B4">고른 다면체</a></li> </ul></li> <li class='mw-gu-onwiki-lt_wikipedia_org'>Usage on lt.wikipedia.org <ul> <li><a class="external" href="https://lt.wikipedia.org/wiki/Tolygusis_briaunainis">Tolygusis briaunainis</a></li> </ul></li> <li class='mw-gu-onwiki-nl_wikipedia_org'>Usage on nl.wikipedia.org <ul> <li><a class="external" href="https://nl.wikipedia.org/wiki/Gebruiker:Patrick/Strookpatroongroepen_en_de_zeven_reeksen">Gebruiker:Patrick/Strookpatroongroepen en de zeven reeksen</a></li> </ul></li> <li class='mw-gu-onwiki-ro_wikipedia_org'>Usage on ro.wikipedia.org <ul> <li><a class="external" href="https://ro.wikipedia.org/wiki/Poliedru_uniform">Poliedru uniform</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Simetrie_ciclic%C4%83_%C3%AEn_spa%C8%9Biul_tridimensional">Simetrie ciclică în spațiul tridimensional</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Format:Grupuri_punctuale_%C3%AEn_3D">Format:Grupuri punctuale în 3D</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Simetrie_diedral%C4%83_%C3%AEn_spa%C8%9Biul_tridimensional">Simetrie diedrală în spațiul tridimensional</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Triunghi_Schwarz">Triunghi Schwarz</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Simetrie_tetraedric%C4%83">Simetrie tetraedrică</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Simetrie_octaedric%C4%83">Simetrie octaedrică</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Simetrie_icosaedric%C4%83">Simetrie icosaedrică</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Grup_poliedric">Grup poliedric</a></li> </ul></li> </ul> <p>View <a href="/wiki/Special:GlobalUsage/Sphere_symmetry_group_d3h.png" title="Special:GlobalUsage/Sphere symmetry group d3h.png">more global usage</a> of this file. </p></div><h2 id="metadata">Metadata</h2> <div class="mw-content-ltr mw-imagepage-section-metadata" lang="en" dir="ltr"><p>This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. </p><p> If the file has been modified from its original state, some details may not fully reflect the modified file.</p><table id="mw_metadata" class="mw_metadata collapsed"> <tbody><tr class="exif-xresolution mw-metadata-collapsible"><th>Horizontal resolution</th><td>118.11 dpc</td></tr><tr class="exif-yresolution mw-metadata-collapsible"><th>Vertical resolution</th><td>118.11 dpc</td></tr><tr class="exif-software mw-metadata-collapsible"><th>Software used</th><td><ul class="metadata-langlist"><li class="mw-metadata-lang-default"><span class="mw-metadata-lang-value"><a href="/w/index.php?title=Polybytes_PolyImagePro&action=edit&redlink=1" class="new" title="Polybytes PolyImagePro (page does not exist)">Polybytes PolyImagePro</a></span></li> </ul></td></tr></tbody></table> </div><noscript><img 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