Icosahedron (original) (raw)
Un icosàedre o icosaedre (ambdues variants són acceptades) és qualsevol políedre de vint cares, tot i que habitualment hom fa referència a un "icosàedre regular", en el qual cada cara és un triangle equilàter. En geometria, l'icosàedre regular és un dels cinc sòlids platònics. És un políedre regular convex, format per 20 cares triangulars, que es troben en grups de cinc en cadascun dels dotze vèrtexs. Té 30 arestes i el seu políedre dual és el dodecàedre.
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| dbo:abstract | Un icosàedre o icosaedre (ambdues variants són acceptades) és qualsevol políedre de vint cares, tot i que habitualment hom fa referència a un "icosàedre regular", en el qual cada cara és un triangle equilàter. En geometria, l'icosàedre regular és un dels cinc sòlids platònics. És un políedre regular convex, format per 20 cares triangulars, que es troben en grups de cinc en cadascun dels dotze vèrtexs. Té 30 arestes i el seu políedre dual és el dodecàedre. (ca) Pravidelný dvacetistěn (ikosaedr) je trojrozměrné těleso, jehož stěny tvoří 20 shodných rovnostranných trojúhelníků. Má 12 vrcholů a 30 hran. Patří mezi mnohostěny, speciálně mezi takzvaná platónská tělesa. Tento tvar se vyskytuje u některých druhů virů či krystalů, např. elementární bór. Duální tělesa (cs) Εικοσάεδρο στη στερεομετρία λέγεται ένα πολύεδρο που έχει είκοσι . Το κανονικό εικοσάεδρο είναι ένα από τα Πλατωνικά στερεά, που έχει ως έδρες είκοσι ισόπλευρα τρίγωνα, τα οποία ενώνονται ανά πέντε σε κάθε κορυφή του. Ο Ευκλείδης ασχολείται με το εικοσάεδρο στην Πρόταση 16 του 13ου βιβλίου των Στοιχείων του (XXIII.16). (el) في الهندسة، عشروني الوجوه (بالإنكليزية: Icosahedron) هو كل متعدد سطوح له عشرون وجها. لكن عموما عشروني الوجوه المنتظم هو الذي له أضلاع مثلثة متساوية كوجوه. (ar) Dudekedro estas ĉiu pluredro havanta 20 edrojn, sed kutime estas subkomprenata regula dudekedro, kiu havas egallaterajn triangulojn kiel edroj. La regula dudekedro estas unu el la kvin platonaj solidoj. Ĝi estas konveksa regula pluredro komponita el 20 triangulaj edroj, kaj kvin edroj kuniĝas je ĉiu el verticoj. Ĝi havas 30 laterojn kaj 12 verticojn.Ĝia estas la dekduedro. (eo) Das (auch, v. a. österr.: der) Ikosaeder [ikozaˈʔeːdɐ] (von altgriechisch εἰκοσάεδρον eikosáedron „Zwanzigflach“, „Zwanzigflächner“) ist einer der fünf platonischen Körper, genauer ein regelmäßiges Polyeder (Vielflach, Vielflächner) mit * 20 kongruenten gleichseitigen Dreiecken als Seitenflächen * 30 gleich langen Kanten und * 12 Ecken, in denen jeweils fünf Seitenflächen zusammentreffen. (de) Ikosaedroa (grekotik: eikosi, hogei eta hedron, aurpegi), 30 ertz, 12 erpin eta 20 aurpegi dituen poliedroa erregularra da. Aurpegietako hirukiak aldekideak dira eta, hortaz, bost solido platonikoetako bat da ikosaedroa. (eu) In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty' and from Ancient Greek ἕδρα (hédra) ' seat'. The plural can be either "icosahedra" (/-drə/) or "icosahedrons". There are infinitely many non-similar shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex, non-stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles. (en) En géométrie, un icosaèdre est un solide de dimension 3, de la famille des polyèdres, contenant exactement vingt faces. Le préfixe icosa-, d'origine grecque, signifie « vingt ». Il existe de nombreux polyèdres à vingt faces tels l'icosaèdre régulier convexe (appelé plus simplement icosaèdre si le contexte fait référence aux solides de Platon), l'icosaèdre rhombique, le , le grand icosaèdre ou plusieurs solides de Johnson. (fr) Un icosaedro es un poliedro de veinte caras. Existen infinitas variantes del icosaedro, pero solo dos icosaedros regulares: el icosaedro regular convexo, uno de los sólidos platónicos; y el gran icosaedro, no convexo y uno de los sólidos de Kepler-Poinsot. (es) Dalam ilmu geometri, ikosahedron adalah sebuah polihedron dengan 20 sisi. Namanya berasal dari bahasa Yunani εἴκοσι (eíkosi) yang berartu "dua puluh", dan ἕδρα (hédra) yang berarti "kursi". Terdapat berbagai jenis ikosahedron, dan beberapa di antaranya lebih simetris daripada yang lainnya. Bentuk ikosahedron yang paling dikenal adalah . (in) 二十面体（にじゅうめんたい、英: icosahedron）とは、20枚の面からなる多面体である。最もよく知られる二十面体は、正多面体の一種である正二十面体である。 (ja) ( 아이코사헤드런은 여기로 연결됩니다. 정이십면체 형태의 스큐브에 대해서는 아이코사헤드런 (큐브) 문서를 참고하십시오.) 이십면체(二十面體)는 면이 20개인 다면체를 말한다. 대표적인 종류로 정이십면체가 있다. 이 외에도 , , , 등이 있다. 케플러-푸앵소 다면체 중에선 큰 이십면체가 존재한다. (ko) In geometria l'icosaèdro (dal latino icosahedrum, dal greco eikosi, che significa venti, e edra, che significa base) è un qualsiasi poliedro con venti facce. Con il termine icosaedro si intende però generalmente l'icosaedro regolare: nell'icosaedro regolare, le facce sono triangoli equilateri. (it) Um icosaedro é um poliedro convexo de 20 faces. Um icosaedro regular é constituido por 20 triângulos equiláteros e é um dos sólidos platónicos. O icosaedro também pode ser chamado tetraedro snub, pois a snubificação de um tetraedro regular dá um icosaedro regular. O estudo das figuras geométricas sólidas perfeitas, como o Icosaedro, é de tamanha importância para a matemática, mais especificamente para a geometria espacial. (pt) Икосаэдр (от др.-греч. εἴκοσι — двадцать и ἕδρα — площадка) — это многогранник с 20 гранями. Существует бесконечно много непохожих икосаэдров, некоторые из которых имеют больше симметрий, другие меньше. Наиболее известен (выпуклый, незвёздчатый) правильный икосаэдр — один из правильных многогранников, гранями которого являются 20 правильных треугольников. (ru) Ikosaedern är en polyeder vars yta utgörs av 20 liksidiga trianglar. Ikosaedern är en platonsk kropp och en deltaeder. En regelbunden ikosaeder har Schläfli-symbolen . Många virus har en kapsel formad som en ikosaeder. Ikosaeder används för T20-tärningar (även kända som d20-tärningar med engelsk notation) det vill säga tärningar med tjugo sidor. T20:an är en tärning som används vid många rollspel, bland annat Dungeons and Dragons och Drakar och Demoner. (sv) 在幾何學中，二十面體（icosahedron）是指具有二十個面的多面體。在三維歐幾里得空間中有兩種二十面體是正多面體，分別為凸正二十面體和大二十面體。除此之外，亦有許多二十面體是等面或等角的，例如（等面），也有的二十面體所有的面都是正多邊形，例如正十八角柱、、正三角台塔反角柱、和等。也有些二十面體是半正多面體（同時具備等角且組成面為正多邊形的立體稱為半正多面體），例如正十八角柱和。 (zh) Ікоса́едр (двадцятигра́нник) — многогранник з 20 гранями. Назва походить від грец. εἴκοσι — двадцять і грец. ἕδρα — площа. Існує нескінченно багато несхожих ікосаедрів, деякі з яких мають більше симетрій, інші менше. Найвідоміший (опуклий, незірчатий) правильний ікосаедр — один з правильних багатогранників, гранями якого є 20 правильних трикутників. (uk) |
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| dbp:caption | dbr:Great_icosahedron Convex regular icosahedron (en) |
| dbp:header | Two kinds of regular icosahedra (en) |
| dbp:image | Great icosahedron.png (en) Icosahedron.png (en) |
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| gold:hypernym | dbr:Polyhedron |
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| rdfs:comment | Un icosàedre o icosaedre (ambdues variants són acceptades) és qualsevol políedre de vint cares, tot i que habitualment hom fa referència a un "icosàedre regular", en el qual cada cara és un triangle equilàter. En geometria, l'icosàedre regular és un dels cinc sòlids platònics. És un políedre regular convex, format per 20 cares triangulars, que es troben en grups de cinc en cadascun dels dotze vèrtexs. Té 30 arestes i el seu políedre dual és el dodecàedre. (ca) Pravidelný dvacetistěn (ikosaedr) je trojrozměrné těleso, jehož stěny tvoří 20 shodných rovnostranných trojúhelníků. Má 12 vrcholů a 30 hran. Patří mezi mnohostěny, speciálně mezi takzvaná platónská tělesa. Tento tvar se vyskytuje u některých druhů virů či krystalů, např. elementární bór. Duální tělesa (cs) Εικοσάεδρο στη στερεομετρία λέγεται ένα πολύεδρο που έχει είκοσι . Το κανονικό εικοσάεδρο είναι ένα από τα Πλατωνικά στερεά, που έχει ως έδρες είκοσι ισόπλευρα τρίγωνα, τα οποία ενώνονται ανά πέντε σε κάθε κορυφή του. Ο Ευκλείδης ασχολείται με το εικοσάεδρο στην Πρόταση 16 του 13ου βιβλίου των Στοιχείων του (XXIII.16). (el) في الهندسة، عشروني الوجوه (بالإنكليزية: Icosahedron) هو كل متعدد سطوح له عشرون وجها. لكن عموما عشروني الوجوه المنتظم هو الذي له أضلاع مثلثة متساوية كوجوه. (ar) Dudekedro estas ĉiu pluredro havanta 20 edrojn, sed kutime estas subkomprenata regula dudekedro, kiu havas egallaterajn triangulojn kiel edroj. La regula dudekedro estas unu el la kvin platonaj solidoj. Ĝi estas konveksa regula pluredro komponita el 20 triangulaj edroj, kaj kvin edroj kuniĝas je ĉiu el verticoj. Ĝi havas 30 laterojn kaj 12 verticojn.Ĝia estas la dekduedro. (eo) Das (auch, v. a. österr.: der) Ikosaeder [ikozaˈʔeːdɐ] (von altgriechisch εἰκοσάεδρον eikosáedron „Zwanzigflach“, „Zwanzigflächner“) ist einer der fünf platonischen Körper, genauer ein regelmäßiges Polyeder (Vielflach, Vielflächner) mit * 20 kongruenten gleichseitigen Dreiecken als Seitenflächen * 30 gleich langen Kanten und * 12 Ecken, in denen jeweils fünf Seitenflächen zusammentreffen. (de) Ikosaedroa (grekotik: eikosi, hogei eta hedron, aurpegi), 30 ertz, 12 erpin eta 20 aurpegi dituen poliedroa erregularra da. Aurpegietako hirukiak aldekideak dira eta, hortaz, bost solido platonikoetako bat da ikosaedroa. (eu) In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty' and from Ancient Greek ἕδρα (hédra) ' seat'. The plural can be either "icosahedra" (/-drə/) or "icosahedrons". There are infinitely many non-similar shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex, non-stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles. (en) En géométrie, un icosaèdre est un solide de dimension 3, de la famille des polyèdres, contenant exactement vingt faces. Le préfixe icosa-, d'origine grecque, signifie « vingt ». Il existe de nombreux polyèdres à vingt faces tels l'icosaèdre régulier convexe (appelé plus simplement icosaèdre si le contexte fait référence aux solides de Platon), l'icosaèdre rhombique, le , le grand icosaèdre ou plusieurs solides de Johnson. (fr) Un icosaedro es un poliedro de veinte caras. Existen infinitas variantes del icosaedro, pero solo dos icosaedros regulares: el icosaedro regular convexo, uno de los sólidos platónicos; y el gran icosaedro, no convexo y uno de los sólidos de Kepler-Poinsot. (es) Dalam ilmu geometri, ikosahedron adalah sebuah polihedron dengan 20 sisi. Namanya berasal dari bahasa Yunani εἴκοσι (eíkosi) yang berartu "dua puluh", dan ἕδρα (hédra) yang berarti "kursi". Terdapat berbagai jenis ikosahedron, dan beberapa di antaranya lebih simetris daripada yang lainnya. Bentuk ikosahedron yang paling dikenal adalah . (in) 二十面体（にじゅうめんたい、英: icosahedron）とは、20枚の面からなる多面体である。最もよく知られる二十面体は、正多面体の一種である正二十面体である。 (ja) ( 아이코사헤드런은 여기로 연결됩니다. 정이십면체 형태의 스큐브에 대해서는 아이코사헤드런 (큐브) 문서를 참고하십시오.) 이십면체(二十面體)는 면이 20개인 다면체를 말한다. 대표적인 종류로 정이십면체가 있다. 이 외에도 , , , 등이 있다. 케플러-푸앵소 다면체 중에선 큰 이십면체가 존재한다. (ko) In geometria l'icosaèdro (dal latino icosahedrum, dal greco eikosi, che significa venti, e edra, che significa base) è un qualsiasi poliedro con venti facce. Con il termine icosaedro si intende però generalmente l'icosaedro regolare: nell'icosaedro regolare, le facce sono triangoli equilateri. (it) Um icosaedro é um poliedro convexo de 20 faces. Um icosaedro regular é constituido por 20 triângulos equiláteros e é um dos sólidos platónicos. O icosaedro também pode ser chamado tetraedro snub, pois a snubificação de um tetraedro regular dá um icosaedro regular. O estudo das figuras geométricas sólidas perfeitas, como o Icosaedro, é de tamanha importância para a matemática, mais especificamente para a geometria espacial. (pt) Икосаэдр (от др.-греч. εἴκοσι — двадцать и ἕδρα — площадка) — это многогранник с 20 гранями. Существует бесконечно много непохожих икосаэдров, некоторые из которых имеют больше симметрий, другие меньше. Наиболее известен (выпуклый, незвёздчатый) правильный икосаэдр — один из правильных многогранников, гранями которого являются 20 правильных треугольников. (ru) Ikosaedern är en polyeder vars yta utgörs av 20 liksidiga trianglar. Ikosaedern är en platonsk kropp och en deltaeder. En regelbunden ikosaeder har Schläfli-symbolen . Många virus har en kapsel formad som en ikosaeder. Ikosaeder används för T20-tärningar (även kända som d20-tärningar med engelsk notation) det vill säga tärningar med tjugo sidor. T20:an är en tärning som används vid många rollspel, bland annat Dungeons and Dragons och Drakar och Demoner. (sv) 在幾何學中，二十面體（icosahedron）是指具有二十個面的多面體。在三維歐幾里得空間中有兩種二十面體是正多面體，分別為凸正二十面體和大二十面體。除此之外，亦有許多二十面體是等面或等角的，例如（等面），也有的二十面體所有的面都是正多邊形，例如正十八角柱、、正三角台塔反角柱、和等。也有些二十面體是半正多面體（同時具備等角且組成面為正多邊形的立體稱為半正多面體），例如正十八角柱和。 (zh) Ікоса́едр (двадцятигра́нник) — многогранник з 20 гранями. Назва походить від грец. εἴκοσι — двадцять і грец. ἕδρα — площа. Існує нескінченно багато несхожих ікосаедрів, деякі з яких мають більше симетрій, інші менше. Найвідоміший (опуклий, незірчатий) правильний ікосаедр — один з правильних багатогранників, гранями якого є 20 правильних трикутників. (uk) |
| rdfs:label | عشروني سطوح (ar) Icosaedre (ca) Dvacetistěn (cs) Ikosaeder (de) Εικοσάεδρο (el) Dudekedro (eo) Icosaedro (es) Ikosaedro (eu) Ikosahedron (in) Icosaèdre (fr) Icosahedron (en) Icosaedro (it) 이십면체 (ko) 二十面体 (ja) Icosaëder (nl) Икосаэдр (ru) Icosaedro (pt) Ikosaeder (sv) 二十面体 (zh) Ікосаедр (uk) |
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