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About: Octahedron
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endpoint"><i class="bi-box-arrow-up-right"></i> Sparql Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div> <!-- /navbar --> <!-- page-header --> <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6"><b>About:</b> <a href="http://dbpedia.org/resource/Octahedron">Octahedron</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> <span class="text-nowrap">An Entity of Type: <a href="http://www.w3.org/2002/07/owl#Thing">Thing</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Cube_t2_e.png?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ca" >Un octàedre o octaedre (ambdues variants són acceptades); del llatí octaedros, i del grec oktáedros) és un poliedre compost de vuit cares, sis vèrtexs i dotze arestes. Un octàedre regular és un sòlid platònic compost de vuit cares, cada una de les quals és un triangle equilàter quatre de les quals es troben en cada vèrtex. L'octàedre regular és una classe especial d'antiprisma triangular i de quadrada.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >في الهندسة الرياضية، المُجسَم الثُماني أو ثماني الأوجه أو ثماني السطوح (بالإنجليزية: Octahedron)، جسم ثلاثي الأبعاد مُتعدد الأسطح له ثمانية أوجه، واثنا عشر ضلع، وستة رؤوس. يُسمى نظامياً عندما تكون أوجهه مثلثات متساوية ومتساوية الأضلاع. ويُعتبر كهرمين رباعي الأوجه مُزدوجين. يمثل الهيكل الهندسي التركيبي لعدد من الأجسام بالطبيعة.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="el" >Στη στερεομετρία, οκτάεδρο λέγεται ένα πολύεδρο που έχει οκτώ . Το κανονικό οκτάεδρο είναι ένα από τα Πλατωνικά στερεά, που έχει για έδρες οκτώ ισόπλευρα τρίγωνα, τα οποία ενώνονται ανά τέσσερα σε κάθε κορυφή του. Άλλα οκτάεδρα είναι το κόλουρο τετράεδρο, το εξαγωνικό πρίσμα, η επταγωνική πυραμίδα κ.ά.</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eo" >Okedro estas pluredro kun 8 edroj. La regula okedro estas platona solido komponita el de 8 egallateraj trianguloj. En ĉiu vertico kuniĝas 4 edroj. La okedra geometria simetria grupo estas Oh de ordo 48. Subgrupoj de ĉi tiu grupo estas D3d (ordo 12), la geometria simetria grupo de triangula kontraŭprismo; D4h (ordo 16), la geometria simetria grupo de kvadrata dupiramido; Td (ordo 24), la geometria simetria grupo de rektigita kvaredro. Ĉi tiuj simetrioj povas esti emfazitaj per malsamaj dekoracioj de la edroj. Ĝi estas tri-dimensia kruca hiperpluredro. Ĝi estas ankaŭ triangula kontraŭprismo. La regula okedro havas 6 verticojn kaj 12 randojn, ĉi tio estas la minimumo inter diversaj okedro; neregulaj okedroj povas havi 12 verticojn kaj 18 randojn. Estas kvar grava specoj de okedroj kun duedra simetrio: * Seslatera prismo: 6 kvadratoj, 2 seslateroj * Seplatera piramido: 7 trianguloj, 1 seplatero * Kvarlatera dupiramido: 8 trianguloj, kutime izocelaj, en ĉi tiun specon trafas la regula okedro se la trianguloj estas egallateraj. * - 8 La vorto okedro estas malofte uzata en ĉi tiu ĝenerala senco ĉar ĉi tiuj pluredroj ne havas gravajn komunajn propraĵoj.</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >Un octaedro u octoedro (del griego ὀκτώ "ocho" y ἕδρα "asiento" o "cara") es un poliedro de ocho caras. Con este número de caras puede ser un poliedro convexo o un . Sus caras pueden ser poliedros de siete lados o más. Si las ocho caras del octaedro son triángulos equiláteros, iguales entre sí, el octaedro es convexo y se denomina regular, siendo una figura de los denominados sólidos platónicos.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >En géométrie, un octaèdre (du grec oktô, huit et hedra, face) est un polyèdre à huit faces.</span><small> (fr)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope. A regular octahedron is a 3-ball in the Manhattan (ℓ1) metric.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >팔면체(八面體)는 면이 8개인 다면체를 말한다. 팔면체에 속하는 다면체는 대표적으로 정팔면체 (또는 사각쌍뿔, 고른엇각기둥) 와 삼각지붕, 깎은 정사면체가 있다. 그 외에 , , 등이 있다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >Een achtvlak is een veelvlak met acht zijvlakken. Er zijn de volgende achtvlakken: * vierkante bipiramide, een bipiramide * regelmatig achtvlak, een van de vijf regelmatige veelvlakken * ruimtevullend achtvlak en * afgeknotte tetraëder, een archimedisch lichaam * hexagonaal prisma, een prisma * trapezoëder met acht zijvlakken * zevenhoekige piramide, een piramide * regelmatig achtvlak * afgeknotte tetraëder * hexagonaal prisma * trapezoëder Er is behalve met de afgeknotte tetraëder met de gegeven achtvlakken een hele serie van variaties mogelijk. Het regelmatige achtvlak, het ruimte vullende achtvlak en de afgeknotte tetraëder zijn daarentegen eenduidig bepaald. Het is met het achtvlak, dat een vierkante bipiramide is en is samengesteld uit twee vierkante piramides, die beide het zesde deel van een kubus zijn, mogelijk de ruimte volledig te vullen.</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >八面体（はちめんたい、英: octahedron）は、幾何学において、8つの面、12の辺、6つの頂点を持つ多面体である。主に8面の正三角形を持つ、正多面体の一種である正八面体を指すことが多い。正八面体は3方向軸で直交していて、三角錐を合わせた双角錐である。正八面体はまた、4方向軸で反角柱である。八面体は3次元の正軸体である。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Окта́эдр (греч. οκτάεδρον от οκτώ «восемь» + έδρα «основание») — многогранник с восемью гранями. Пра́вильный окта́эдр является одним из пяти выпуклых правильных многогранников, так называемых платоновых тел; его грани — восемь равносторонних треугольников. Правильный октаэдр: * двойственен кубу; * полное усечение тетраэдра; * квадратная бипирамида в любом из трёх ортогональных направлений; * треугольная антипризма в любом из четырёх направлений; * трёхмерный шар в метрике городских кварталов. Октаэдр — трёхмерный вариант более общего понятия гипероктаэдр.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Октаедр (грец. οκτάεδρον, від грец. οκτώ, «вісім» і грец. έδρα — «основа») — многогранник з вісьма гранями. Правильний октаедр є одним з п'яти опуклих правильних многогранників, так званих платонових тіл; грані правильного октаедра — вісім правильних трикутників. Правильний октаедр є двоїстим до куба. Він є тетраедра. Правильний октаедр є квадратною біпірамідою в кожному з трьох ортогональних напрямків. Він також є трикутною антипризмою в кожному з чотирьох напрямків. Октаедр — тривимірний варіант більш загального поняття гіпероктаедр. Правильний октаедр є тривимірною кулею в манхеттенській метриці.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >在幾何學中，八面體是指由八個面組成的多面體，而由八個全等的正三角形組成的八面體稱為正八面體。其中正八面體是八面體中頂點和邊數最少的多面體，一些八面體可能有超過12個頂點和18條邊。在八面體中亦有一種星形多面體，即星形八面體 。 在許多情況下，常用「八面體」一詞來代表正八面體。</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Cube_t2_e.png?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Cube_t2_e.png?width=300"><small>wiki-commons</small>:Special:FilePath/Cube_t2_e.png?width=300</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" 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href="http://purl.org/dc/terms/subject"><small>dcterms:</small>subject</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Prismatoid_polyhedra" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Prismatoid_polyhedra"><small>dbc</small>:Prismatoid_polyhedra</a></span></li> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Platonic_solids" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Platonic_solids"><small>dbc</small>:Platonic_solids</a></span></li> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Individual_graphs" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Individual_graphs"><small>dbc</small>:Individual_graphs</a></span></li> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Deltahedra" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Deltahedra"><small>dbc</small>:Deltahedra</a></span></li> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Pyramids_and_bipyramids" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Pyramids_and_bipyramids"><small>dbc</small>:Pyramids_and_bipyramids</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/1999/02/22-rdf-syntax-ns#type"><small>rdf:</small>type</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://www.w3.org/2002/07/owl#Thing" href="http://www.w3.org/2002/07/owl#Thing"><small>owl</small>:Thing</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment"><small>rdfs:</small>comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ca" >Un octàedre o octaedre (ambdues variants són acceptades); del llatí octaedros, i del grec oktáedros) és un poliedre compost de vuit cares, sis vèrtexs i dotze arestes. Un octàedre regular és un sòlid platònic compost de vuit cares, cada una de les quals és un triangle equilàter quatre de les quals es troben en cada vèrtex. L'octàedre regular és una classe especial d'antiprisma triangular i de quadrada.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ar" >في الهندسة الرياضية، المُجسَم الثُماني أو ثماني الأوجه أو ثماني السطوح (بالإنجليزية: Octahedron)، جسم ثلاثي الأبعاد مُتعدد الأسطح له ثمانية أوجه، واثنا عشر ضلع، وستة رؤوس. يُسمى نظامياً عندما تكون أوجهه مثلثات متساوية ومتساوية الأضلاع. ويُعتبر كهرمين رباعي الأوجه مُزدوجين. يمثل الهيكل الهندسي التركيبي لعدد من الأجسام بالطبيعة.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="el" >Στη στερεομετρία, οκτάεδρο λέγεται ένα πολύεδρο που έχει οκτώ . Το κανονικό οκτάεδρο είναι ένα από τα Πλατωνικά στερεά, που έχει για έδρες οκτώ ισόπλευρα τρίγωνα, τα οποία ενώνονται ανά τέσσερα σε κάθε κορυφή του. Άλλα οκτάεδρα είναι το κόλουρο τετράεδρο, το εξαγωνικό πρίσμα, η επταγωνική πυραμίδα κ.ά.</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >Un octaedro u octoedro (del griego ὀκτώ "ocho" y ἕδρα "asiento" o "cara") es un poliedro de ocho caras. Con este número de caras puede ser un poliedro convexo o un . Sus caras pueden ser poliedros de siete lados o más. Si las ocho caras del octaedro son triángulos equiláteros, iguales entre sí, el octaedro es convexo y se denomina regular, siendo una figura de los denominados sólidos platónicos.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >En géométrie, un octaèdre (du grec oktô, huit et hedra, face) est un polyèdre à huit faces.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >팔면체(八面體)는 면이 8개인 다면체를 말한다. 팔면체에 속하는 다면체는 대표적으로 정팔면체 (또는 사각쌍뿔, 고른엇각기둥) 와 삼각지붕, 깎은 정사면체가 있다. 그 외에 , , 등이 있다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >八面体（はちめんたい、英: octahedron）は、幾何学において、8つの面、12の辺、6つの頂点を持つ多面体である。主に8面の正三角形を持つ、正多面体の一種である正八面体を指すことが多い。正八面体は3方向軸で直交していて、三角錐を合わせた双角錐である。正八面体はまた、4方向軸で反角柱である。八面体は3次元の正軸体である。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Окта́эдр (греч. οκτάεδρον от οκτώ «восемь» + έδρα «основание») — многогранник с восемью гранями. Пра́вильный окта́эдр является одним из пяти выпуклых правильных многогранников, так называемых платоновых тел; его грани — восемь равносторонних треугольников. Правильный октаэдр: * двойственен кубу; * полное усечение тетраэдра; * квадратная бипирамида в любом из трёх ортогональных направлений; * треугольная антипризма в любом из четырёх направлений; * трёхмерный шар в метрике городских кварталов. Октаэдр — трёхмерный вариант более общего понятия гипероктаэдр.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >在幾何學中，八面體是指由八個面組成的多面體，而由八個全等的正三角形組成的八面體稱為正八面體。其中正八面體是八面體中頂點和邊數最少的多面體，一些八面體可能有超過12個頂點和18條邊。在八面體中亦有一種星形多面體，即星形八面體 。 在許多情況下，常用「八面體」一詞來代表正八面體。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eo" >Okedro estas pluredro kun 8 edroj. La regula okedro estas platona solido komponita el de 8 egallateraj trianguloj. En ĉiu vertico kuniĝas 4 edroj. La okedra geometria simetria grupo estas Oh de ordo 48. Subgrupoj de ĉi tiu grupo estas D3d (ordo 12), la geometria simetria grupo de triangula kontraŭprismo; D4h (ordo 16), la geometria simetria grupo de kvadrata dupiramido; Td (ordo 24), la geometria simetria grupo de rektigita kvaredro. Ĉi tiuj simetrioj povas esti emfazitaj per malsamaj dekoracioj de la edroj. Ĝi estas tri-dimensia kruca hiperpluredro. Ĝi estas ankaŭ triangula kontraŭprismo.</span><small> (eo)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >Een achtvlak is een veelvlak met acht zijvlakken. Er zijn de volgende achtvlakken: * vierkante bipiramide, een bipiramide * regelmatig achtvlak, een van de vijf regelmatige veelvlakken * ruimtevullend achtvlak en * afgeknotte tetraëder, een archimedisch lichaam * hexagonaal prisma, een prisma * trapezoëder met acht zijvlakken * zevenhoekige piramide, een piramide * regelmatig achtvlak * afgeknotte tetraëder * hexagonaal prisma * trapezoëder</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Октаедр (грец. οκτάεδρον, від грец. οκτώ, «вісім» і грец. έδρα — «основа») — многогранник з вісьма гранями. Правильний октаедр є одним з п'яти опуклих правильних многогранників, так званих платонових тіл; грані правильного октаедра — вісім правильних трикутників. Правильний октаедр є двоїстим до куба. Він є тетраедра. Правильний октаедр є квадратною біпірамідою в кожному з трьох ортогональних напрямків. Він також є трикутною антипризмою в кожному з чотирьох напрямків. Октаедр — тривимірний варіант більш загального поняття гіпероктаедр.</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >ثماني سطوح</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ca" >Octàedre</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="el" >Οκτάεδρο</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eo" >Okedro</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Octaedro</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Octaèdre</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >八面体</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >팔면체</span><small> (ko)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Octahedron</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Achtvlak</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Октаэдр</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Октаедр</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >八面體</span><small> 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