Excavated dodecahedron
http://dbpedia.org/resource/Excavated_dodecahedron
En geometria, el dodecàedre excavat és un que té 60 cares triangulars equilàteres. La seva superfície exterior representa l'estelació de l'icosàedre. Apareix al llibre de Polyhedron Models com a model 28, la tercera estelació de l'icosàedre.
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Das ausgehöhlte Dodekaeder ist ein konkaves Polyeder, das sich aus 60 gleichseitigen Dreiecken zusammensetzt und zu den Sternkörpern zählt. 20 der insgesamt 32 Ecken sind identisch mit denen eines Dodekaeders, das die konvexe Hülle des Sternkörpers bildet. Die übrigen innen liegenden 12 Ecken bilden die Eckpunkte eines Ikosaeders.
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En geometría, el dodecaedro excavado es un poliedro estelado que se parece a un dodecaedro con pirámides cóncavas en lugar de sus caras. Su superficie exterior representa la estelación Ef1g1 del icosaedro. Aparece en el libro Polyhedron Models de Magnus Wenninger como modelo 28, catalogado como la tercera estelación del icosaedro.
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In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron.
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在幾何學中，凹五角錐十二面體是一種星形多面體。 它的外形是一個Ef1g1星狀的二十面體。 溫尼爾在他的書中列出28種星形多面體模型，並將凹五角錐十二面體列為第三個星狀的二十面體。
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Dodecàedre excavat
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Ausgehöhltes Dodekaeder
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Dodecaedro excavado
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Excavated dodecahedron
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凹五角錐十二面體
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The great dodecahedron is an excavated icosahedron. It also has 60 visible triangles. But unlike the e. d. it has convex faces and thus no inner edges.
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A pentakis dodecahedron with inverted pyramids has the same surface.
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The faces of the e. d. are part of the faces of the great icosahedron . Extending the short edges of a hexagon until they meet gives the triangle that contains it. (Replacing each self-intersecting hexagon with a convex one gives a figure containing the edges of the compound of five cubes . But this is not really a polyhedron, because each of these edges belongs to only one face.)
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Concave pentakis dodecahedron.png
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Polyhedron great 20 pyritohedral, face gray.png
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Polyhedron great 20 pyritohedral.png
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Polyhedron truncated 20 dual big.png
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Pyritohedral excavated dodecahedron, face gray.png
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Pyritohedral excavated dodecahedron.png
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Pyritohedral great icosahedron core, face gray.png
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Pyritohedral great icosahedron core.png
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Stell12g cells solid 3 stacked.png
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En geometria, el dodecàedre excavat és un que té 60 cares triangulars equilàteres. La seva superfície exterior representa l'estelació de l'icosàedre. Apareix al llibre de Polyhedron Models com a model 28, la tercera estelació de l'icosàedre.
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Das ausgehöhlte Dodekaeder ist ein konkaves Polyeder, das sich aus 60 gleichseitigen Dreiecken zusammensetzt und zu den Sternkörpern zählt. 20 der insgesamt 32 Ecken sind identisch mit denen eines Dodekaeders, das die konvexe Hülle des Sternkörpers bildet. Die übrigen innen liegenden 12 Ecken bilden die Eckpunkte eines Ikosaeders.
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En geometría, el dodecaedro excavado es un poliedro estelado que se parece a un dodecaedro con pirámides cóncavas en lugar de sus caras. Su superficie exterior representa la estelación Ef1g1 del icosaedro. Aparece en el libro Polyhedron Models de Magnus Wenninger como modelo 28, catalogado como la tercera estelación del icosaedro.
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In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron.
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在幾何學中，凹五角錐十二面體是一種星形多面體。 它的外形是一個Ef1g1星狀的二十面體。 溫尼爾在他的書中列出28種星形多面體模型，並將凹五角錐十二面體列為第三個星狀的二十面體。
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5970
