In geometry, an icositetrahedron is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry: Four Catalan solids, convex:
* Triakis octahedron - isosceles triangles
* Tetrakis hexahedron - isosceles triangles
* Deltoidal icositetrahedron - kites
* Pentagonal icositetrahedron - pentagons 27 uniform star-polyhedral duals: (self-intersecting)
* Small rhombihexacron, Great rhombihexacron
* Small hexacronic icositetrahedron, Great hexacronic icositetrahedron
* Great deltoidal icositetrahedron
* Great triakis octahedron
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rdfs:label
| - Ikositetraeder (de)
- Dudekkvaredro (eo)
- Icositetrahedron (en)
- Icositetraedro (it)
- 二十四面體 (zh)
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rdfs:comment
| - Mit Ikositetraeder bezeichnet man allgemein ein Polyeder deren Oberfläche sich aus 24 ebenen Polygonen zusammensetzt. Eine wesentliche Bedeutung besitzt praktisch nur das in der Mineralogie gebräuchliche Deltoidalikositetraeder, welches besondere Symmetrien aufweist. (de)
- In geometry, an icositetrahedron is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry: Four Catalan solids, convex:
* Triakis octahedron - isosceles triangles
* Tetrakis hexahedron - isosceles triangles
* Deltoidal icositetrahedron - kites
* Pentagonal icositetrahedron - pentagons 27 uniform star-polyhedral duals: (self-intersecting)
* Small rhombihexacron, Great rhombihexacron
* Small hexacronic icositetrahedron, Great hexacronic icositetrahedron
* Great deltoidal icositetrahedron
* Great triakis octahedron (en)
- 在幾何學中,二十四面體是指有24個面的多面體,在二十四面體當中沒有任何一個形狀是正多面體,換言之即正二十四面體並不存在,但仍有許多由正多邊形組成的二十四面體,例如和五角錐球狀屋頂,也有一些接近球狀但並非由正多邊形組成的二十四面體,其中對稱性較高的是三角化八面體和鳶形二十四面體等卡塔蘭立體、對稱性較低的是部分詹森多面體的對偶多面體,例如的對偶和異相雙四角帳塔柱的對偶。此外要構成二十四面體至少要有14個頂點。 (zh)
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| - Mit Ikositetraeder bezeichnet man allgemein ein Polyeder deren Oberfläche sich aus 24 ebenen Polygonen zusammensetzt. Eine wesentliche Bedeutung besitzt praktisch nur das in der Mineralogie gebräuchliche Deltoidalikositetraeder, welches besondere Symmetrien aufweist. (de)
- In geometry, an icositetrahedron is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry: Four Catalan solids, convex:
* Triakis octahedron - isosceles triangles
* Tetrakis hexahedron - isosceles triangles
* Deltoidal icositetrahedron - kites
* Pentagonal icositetrahedron - pentagons 27 uniform star-polyhedral duals: (self-intersecting)
* Small rhombihexacron, Great rhombihexacron
* Small hexacronic icositetrahedron, Great hexacronic icositetrahedron
* Great deltoidal icositetrahedron
* Great triakis octahedron (en)
- 在幾何學中,二十四面體是指有24個面的多面體,在二十四面體當中沒有任何一個形狀是正多面體,換言之即正二十四面體並不存在,但仍有許多由正多邊形組成的二十四面體,例如和五角錐球狀屋頂,也有一些接近球狀但並非由正多邊形組成的二十四面體,其中對稱性較高的是三角化八面體和鳶形二十四面體等卡塔蘭立體、對稱性較低的是部分詹森多面體的對偶多面體,例如的對偶和異相雙四角帳塔柱的對偶。此外要構成二十四面體至少要有14個頂點。 (zh)
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