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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.

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  • 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)
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)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Dodecahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Icosahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Chiroicosahedron-in-dodecahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Compound_of_five_tetrahedra_stellation_facets.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Spherical_compound_of_five_tetrahedra.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Compound_of_five_tetrahedra.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Second_compound_stellation_of_icosahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/CompoundOfFiveTetrahedra.gif
  • http://commons.wikimedia.org/wiki/Special:FilePath/CompoundOfFiveTetrahedra.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Five_tetrahedra.png
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