| dbo:abstract |
En geometrio, kombinaĵo de kvin kvaredroj estas uniforma pluredra kombinaĵo, simetria ordigo de 5 kvaredroj. Ĝi estas ankaŭ steligo de la regula dudekedro. Ĝi estas nememspegulsimetria kaj do havas du formojn. Ambaŭ formoj metitaj kune kreas la reflekte simetrian kombinaĵon de 10 kvaredroj. Ĝi havas la saman situon de verticoj kiel regula dekduedro. Ĉi tiu kombinaĵo estis unue priskribita de Edmund Hess en 1876. (eo) The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876. It can be seen as a of a regular dodecahedron. (en) Die Durchdringung von fünf Tetraedern stellt einen Sternkörper dar, der aus einer geeigneten Zusammenstellung von fünf Tetraedern, die im Dodekaeder zu finden sind, entsteht. Dieses Polyeder wurde erstmals 1876 von dem deutschen Mathematiker Edmund Hess (1843–1903) beschrieben. Der konvexe Hüllkörper ist das Dodekaeder.Es gibt zwei zueinander spiegelbildliche Versionen dieses Körpers. * Linkshändige Version * Rechtshändige Version (de) In geometria solida il composto (regolare) di cinque tetraedri (talvolta anche "cinque tetraedri nel dodecaedro" in senso descrittivo) costituisce uno dei cinque poliedri composti regolari, ottenuto disponendo cinque identici tetraedri regolari secondo la simmetria icosaedrale. (it) Соединение пяти тетраэдров — 12-я звёздчатая форма икосаэдра. Не является зеркально-симметричным и имеет левую и правую формы. (ru) З'є́днання п'яти́ тетра́едрів — 12-а зірчаста форма ікосаедра. Не є дзеркально-симетричним і має ліву і праву форми. (uk) 在幾何學中，五複合正四面體是一種由五個正四面體組合成的幾何圖形，屬於星形二十面體，也是唯一五種正複合體之一，其索引編號為UC5。溫尼爾在他的書中列出了許多星形多面體模型，其中也收錄了五複合正四面體，並將之給予編號W24。其也收錄於哈羅德·斯科特·麥克唐納·考克斯特的書《五十九種二十面體》中，編號為47，但這個多面體最早是由埃德蒙·赫斯在1876年發現並描述的。 (zh) |
| dbo:thumbnail |
wiki-commons:Special:FilePath/Compound_of_five_tetrahedra.png?width=300 |
| dbo:wikiPageExternalLink |
http://bulatov.org/metal/five_tetrahedra.html https://web.archive.org/web/20081119051953/http:/www.interocitors.com/polyhedra/UCs/05__5_Tetrahedra.wrl http://demonstrations.wolfram.com/CompoundsOf5And10Tetrahedra/ |
| dbo:wikiPageID |
3645795 (xsd:integer) |
| dbo:wikiPageLength |
5801 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1004683993 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:List_of_Wenninger_polyhedron_models dbr:Regular_dodecahedron dbr:VRML dbr:Polyhedron dbr:Convex_hull dbr:Chirality_(mathematics) dbc:Chiral_polyhedra dbc:Polyhedral_compounds dbc:Polyhedral_stellation dbr:Compound_of_five_cubes dbr:Compound_of_ten_tetrahedra dbr:Vertex_arrangement dbr:Subgroup dbr:Symmetry_group dbr:Dual_polyhedron dbr:Edmund_Hess dbr:Polyhedral_compound dbr:Group_action_(mathematics) dbr:Harold_Scott_MacDonald_Coxeter dbr:Tetrahedron dbr:Stellation_diagram dbr:Regular_Polytopes_(book) dbr:Dodecahedron dbr:Platonic_solid dbr:Enantiomorph dbr:The_Wolfram_Demonstrations_Project dbr:Icosahedral_symmetry dbr:Icosahedron dbr:Euler_characteristic dbr:Faceting dbr:The_Fifty-Nine_Icosahedra dbr:Polytope_compound dbr:Tetrahedral_symmetry dbr:Stellation dbr:Tetrahedral_group dbr:Stellations_of_icosahedron dbr:Rotational_icosahedral_symmetry dbr:Regular_polyhedral_compound dbr:Icosahedral_group dbr:Spherical_tiling dbr:File:Chiroicosahedron-in-dodecahedron.png dbr:File:Dodecahedron.png dbr:File:Compound_of_five_tetrahedra.png dbr:File:CompoundOfFiveTetrahedra.gif dbr:File:CompoundOfFiveTetrahedra.png dbr:File:Compound_of_five_tetrahedra_(full).stl dbr:File:Compound_of_five_tetrahedra_stellation_facets.svg dbr:File:Five_tetrahedra.png dbr:File:Icosahedron.png dbr:File:Second_compound_stellation_of_icosahedron.png dbr:File:Spherical_compound_of_five_tetrahedra.png |
| dbp:title |
Tetrahedron 5-Compound (en) |
| dbp:urlname |
Tetrahedron5-Compound (en) |
| dbp:wikiPageUsesTemplate |
dbt:Cite_book dbt:ISBN dbt:KlitzingPolytopes dbt:MathWorld dbt:Reflist dbt:Short_description dbt:Icosahedron_stellations |
| dct:subject |
dbc:Chiral_polyhedra dbc:Polyhedral_compounds dbc:Polyhedral_stellation |
| gold:hypernym |
dbr:Compounds |
| rdf:type |
yago:Abstraction100002137 yago:Cognition100023271 yago:Compound105870180 yago:Concept105835747 yago:Content105809192 yago:Idea105833840 yago:PsychologicalFeature100023100 dbo:ChemicalCompound yago:Whole105869584 yago:WikicatPolyhedralCompounds |
| rdfs:comment |
En geometrio, kombinaĵo de kvin kvaredroj estas uniforma pluredra kombinaĵo, simetria ordigo de 5 kvaredroj. Ĝi estas ankaŭ steligo de la regula dudekedro. Ĝi estas nememspegulsimetria kaj do havas du formojn. Ambaŭ formoj metitaj kune kreas la reflekte simetrian kombinaĵon de 10 kvaredroj. Ĝi havas la saman situon de verticoj kiel regula dekduedro. Ĉi tiu kombinaĵo estis unue priskribita de Edmund Hess en 1876. (eo) The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876. It can be seen as a of a regular dodecahedron. (en) Die Durchdringung von fünf Tetraedern stellt einen Sternkörper dar, der aus einer geeigneten Zusammenstellung von fünf Tetraedern, die im Dodekaeder zu finden sind, entsteht. Dieses Polyeder wurde erstmals 1876 von dem deutschen Mathematiker Edmund Hess (1843–1903) beschrieben. Der konvexe Hüllkörper ist das Dodekaeder.Es gibt zwei zueinander spiegelbildliche Versionen dieses Körpers. * Linkshändige Version * Rechtshändige Version (de) In geometria solida il composto (regolare) di cinque tetraedri (talvolta anche "cinque tetraedri nel dodecaedro" in senso descrittivo) costituisce uno dei cinque poliedri composti regolari, ottenuto disponendo cinque identici tetraedri regolari secondo la simmetria icosaedrale. (it) Соединение пяти тетраэдров — 12-я звёздчатая форма икосаэдра. Не является зеркально-симметричным и имеет левую и правую формы. (ru) З'є́днання п'яти́ тетра́едрів — 12-а зірчаста форма ікосаедра. Не є дзеркально-симетричним і має ліву і праву форми. (uk) 在幾何學中，五複合正四面體是一種由五個正四面體組合成的幾何圖形，屬於星形二十面體，也是唯一五種正複合體之一，其索引編號為UC5。溫尼爾在他的書中列出了許多星形多面體模型，其中也收錄了五複合正四面體，並將之給予編號W24。其也收錄於哈羅德·斯科特·麥克唐納·考克斯特的書《五十九種二十面體》中，編號為47，但這個多面體最早是由埃德蒙·赫斯在1876年發現並描述的。 (zh) |
| rdfs:label |
Durchdringung von fünf Tetraedern (de) Kombinaĵo de 5 kvaredroj (eo) Compound of five tetrahedra (en) Cinque tetraedri nel dodecaedro (it) Соединение пяти тетраэдров (ru) 五複合正四面體 (zh) З'єднання п'яти тетраедрів (uk) |
| owl:sameAs |
freebase:Compound of five tetrahedra yago-res:Compound of five tetrahedra wikidata:Compound of five tetrahedra dbpedia-de:Compound of five tetrahedra dbpedia-eo:Compound of five tetrahedra dbpedia-it:Compound of five tetrahedra dbpedia-ro:Compound of five tetrahedra dbpedia-ru:Compound of five tetrahedra dbpedia-sl:Compound of five tetrahedra dbpedia-uk:Compound of five tetrahedra dbpedia-zh:Compound of five tetrahedra https://global.dbpedia.org/id/AcNk |
| prov:wasDerivedFrom |
wikipedia-en:Compound_of_five_tetrahedra?oldid=1004683993&ns=0 |
| foaf:depiction |
wiki-commons:Special:FilePath/Dodecahedron.png wiki-commons:Special:FilePath/Icosahedron.png wiki-commons:Special:FilePath/Chiroicosahedron-in-dodecahedron.png wiki-commons:Special:FilePath/Compound_of_five_tetrahedra_stellation_facets.svg wiki-commons:Special:FilePath/Spherical_compound_of_five_tetrahedra.png wiki-commons:Special:FilePath/Compound_of_five_tetrahedra.png wiki-commons:Special:FilePath/Second_compound_stellation_of_icosahedron.png wiki-commons:Special:FilePath/CompoundOfFiveTetrahedra.gif wiki-commons:Special:FilePath/CompoundOfFiveTetrahedra.png wiki-commons:Special:FilePath/Five_tetrahedra.png |
| foaf:isPrimaryTopicOf |
wikipedia-en:Compound_of_five_tetrahedra |
| is dbo:wikiPageRedirects of |
dbr:Five_intersecting_tetrahedra dbr:Tetrahedron_5-compound dbr:Five_Intersecting_Tetrahedra dbr:Chiro-icosahedron |
| is dbo:wikiPageWikiLink of |
dbr:List_of_Wenninger_polyhedron_models dbr:List_of_regular_polytopes_and_compounds dbr:Regular_dodecahedron dbr:Regular_icosahedron dbr:Uniform_polyhedron_compound dbr:List_of_mathematical_shapes dbr:List_of_polygons,_polyhedra_and_polytopes dbr:List_of_polyhedral_stellations dbr:120-cell dbr:Golden_ratio dbr:Compound_of_five_truncated_tetrahedra dbr:Compound_of_ten_tetrahedra dbr:Compound_of_tetrahedra dbr:Compound_of_two_tetrahedra dbr:Five_intersecting_tetrahedra dbr:Projective_linear_group dbr:Regular_polyhedron dbr:Tetrahedron dbr:Pentadecagon dbr:ADE_classification dbr:Icosahedral_symmetry dbr:Faceting dbr:Point_groups_in_three_dimensions dbr:Eve_Torrence dbr:The_Fifty-Nine_Icosahedra dbr:Polytetrahedron dbr:Polytope_compound dbr:Tetrahedron_5-compound dbr:Five_Intersecting_Tetrahedra dbr:Chiro-icosahedron |
| is foaf:primaryTopic of |
wikipedia-en:Compound_of_five_tetrahedra |
