| dbo:abstract |
En geometrio, kombinaĵo de kvin kuboj estas uniforma pluredra kombinaĵo, simetria ordigo de kvin kuboj. Ĝi estas unu el kvin regulaj kombinaĵoj kiuj povas esti konstruitaj el identaj platonaj solidoj. Ĝia duala estas la kombinaĵo de kvin okedroj. Ĝi estas unu el la steligoj de la romba tridekedro. Ĝi havas dudekedra simetrio (Ih), kaj ĝia konveksa koverto estas dekduedro. Ĝi havas la saman situon de verticoj kiel la regula dekduedro. Ĝi havas la saman situon de lateroj kiel la malgranda du-tritranĉa dudek-dekduedro, la granda du-tritranĉa dudek-dekduedro, kaj la du-tritranĉa dekdu-dekduedro. Ĉi tiu kombinaĵo estis unue priskribita de Edmund Hess en 1876. (eo) The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876. It is one of five regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the of the rhombic triacontahedron. It has icosahedral symmetry (Ih). (en) Die Durchdringung von fünf Würfeln stellt einen Sternkörper dar, der aus einer geeigneten Zusammenstellung von fünf Würfeln, die im Dodekaeder zu finden sind, entsteht. Sämtliche Kanten der fünf Würfel sind identisch mit den 12 × 5 = 60 Diagonalen der Fünfecke des Dodekaeders. Dieses Polyeder wurde erstmals 1876 von dem deutschen Mathematiker Edmund Hess (1843–1903) beschrieben. (de) In geometria solida il composto (regolare) di cinque cubi (talvolta anche "i cinque cubi nel dodecaedro" in senso descrittivo) costituisce uno dei cinque poliedri composti regolari. È formato da cinque identici cubi, disposti in modo tale che ogni cubo condivida ognuna delle 4 coppie di vertici opposti con uno degli altri quattro cubi. (it) 在幾何學中，五複合立方體，是一種由五個立方體組合成的複合多面體，其索引編號為UC9，是唯一五種正複合體之一，亦是一種星形多面體。埃德蒙·赫斯在1876年首先描述了該幾何結構。 五複合立方體的對偶多面體是五複合正八面體。 (zh) |
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http://mathworld.wolfram.com/Cube5-Compound.html http://mathworld.wolfram.com/RhombicTriacontahedronStellations.html https://web.archive.org/web/20070102152247/http:/www.uwgb.edu/dutchs/SYMMETRY/polycpd.htm http://www.georgehart.com/virtual-polyhedra/compound-cubes-info.html http://www.georgehart.com/virtual-polyhedra/compounds-harman.html |
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The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876. It is one of five regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the of the rhombic triacontahedron. It has icosahedral symmetry (Ih). (en) Die Durchdringung von fünf Würfeln stellt einen Sternkörper dar, der aus einer geeigneten Zusammenstellung von fünf Würfeln, die im Dodekaeder zu finden sind, entsteht. Sämtliche Kanten der fünf Würfel sind identisch mit den 12 × 5 = 60 Diagonalen der Fünfecke des Dodekaeders. Dieses Polyeder wurde erstmals 1876 von dem deutschen Mathematiker Edmund Hess (1843–1903) beschrieben. (de) In geometria solida il composto (regolare) di cinque cubi (talvolta anche "i cinque cubi nel dodecaedro" in senso descrittivo) costituisce uno dei cinque poliedri composti regolari. È formato da cinque identici cubi, disposti in modo tale che ogni cubo condivida ognuna delle 4 coppie di vertici opposti con uno degli altri quattro cubi. (it) 在幾何學中，五複合立方體，是一種由五個立方體組合成的複合多面體，其索引編號為UC9，是唯一五種正複合體之一，亦是一種星形多面體。埃德蒙·赫斯在1876年首先描述了該幾何結構。 五複合立方體的對偶多面體是五複合正八面體。 (zh) En geometrio, kombinaĵo de kvin kuboj estas uniforma pluredra kombinaĵo, simetria ordigo de kvin kuboj. Ĝi estas unu el kvin regulaj kombinaĵoj kiuj povas esti konstruitaj el identaj platonaj solidoj. Ĝia duala estas la kombinaĵo de kvin okedroj. Ĝi estas unu el la steligoj de la romba tridekedro. Ĝi havas dudekedra simetrio (Ih), kaj ĝia konveksa koverto estas dekduedro. Ĝi havas la saman situon de verticoj kiel la regula dekduedro. Ĝi havas la saman situon de lateroj kiel la malgranda du-tritranĉa dudek-dekduedro, la granda du-tritranĉa dudek-dekduedro, kaj la du-tritranĉa dekdu-dekduedro. (eo) |
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Durchdringung von fünf Würfeln (de) Kombinaĵo de 5 kuboj (eo) Compound of five cubes (en) Cinque cubi nel dodecaedro (it) 五複合立方體 (zh) |
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