| 词汇 | dodecahedron |
| 释义 | dodecahedron noun[ C ] mathematics specializeduk /ˌdəʊ.dek.əˈhiː.drən/ us /ˌdoʊ.dek.əˈhiː.drən/pluraldodecahedrons or dodecahedrauk /ˌdəʊ.dek.əˈhiː.drə/ us /ˌdoʊ.dek.əˈhiː.drə/ a solid shape that has twelve flat surfaces of equal size with five sides十二面体（由十二个等面积的五边形组成的多面体） YURII ZASIMOV/iStock/Getty Images Plus/GettyImages Geometrical shapes -cornered circularly congruently conic cylindrically lozenge orbicular ovally ovoid parallelogram pentagon polyhedron polytope prism pyramid quadrilateral rectangle rectangular rhombus three-dimensional dodecahedron | American Dictionarydodecahedron noun[ C ] us/doʊˌdek·əˈhi·drən/pluraldodecahedrons or dodecahedraus/doʊˌdek·əˈhi·drə/ geometry a solid shape that has twelve flat surfaces of equal size, each with five sides Examples of dodecahedrondodecahedron Note that an icosidodecahedron, that is, the line graph of a dodecahedron, is a 4-regular planar graph without 4-cycles. Next, for a disproof, imagine worlds whose only inhabitants can be simple geometric shapes of three kinds: dodecahedrons (dodecs), cubes, and tetrahedrons (tets). These all have icosahedral symmetry and may be obtained as stellations of the dodecahedron and the icosahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can be seen as constructed from a rhombic dodecahedron elongated by a square prism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Twelve of the 24 octahedral cells project in pairs onto six square dipyramids that meet at the center of the rhombic dodecahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The remaining 12 octahedral cells project onto the 12 rhombic faces of the rhombic dodecahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Although the desk is covered with ordinary objects, there is a metal dodecahedron that the reptiles climb over. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It also shares the same edge arrangement as the small stellated dodecahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are infinitely many of these, but only one is convex: the dodecahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, neither the regular icosahedron nor the regular dodecahedron are amongst them. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Unlike the great icosahedron and great dodecahedron, the great icosidodecahedron is not a stellation of the icosidodecahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note the duality between cube and octahedron, and between dodecahedron and icosahedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. At the heart of the villa is the dodecahedron fountain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can also be called an "expanded" or "cantellated" dodecahedron or icosahedron, from truncation operations on either uniform polyhedron. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is the dual of the dodecahedron, which is represented by 5,3, having three pentagonal faces around each vertex. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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