icosahedron

简明释义

英[ˈaɪkəsəˈhedrən]美[ˌaɪkosəˈhidrən]

n. [数] 二十面体

复 数 i c o s a h e d r a 或 i c o s a h e d r o n s

英英释义

单词用法

同义词

反义词

例句

1.In order to improve the roundness of the icosahedron, its surfaces are divided into smaller ones and more points are raised to the surface of the sphere.

为了令正二十面体的外形更接近球体，我们把它的面分解成更小的面，并将更多的端点升到球体表面。

2.In order to improve the roundness of the icosahedron, its surfaces are divided into smaller ones and more points are raised to the surface of the sphere.

为了令正二十面体的外形更接近球体，我们把它的面分解成更小的面，并将更多的端点升到球体表面。

3.Based on the spherical icosahedron case of Equal Angle Ratio Projections (EARP), a new spherical Triangle regional Quadtree (EARPIH) is constructed.

在等弧长比投影族球面正二十面体投影基础上设计了球面三角四叉树剖分模型(EARPIH)。

4.The 20 - sided shape an icosahedron floats to the window and one of the 20 answers is visible, telling you the answer to your question.

这个有着20个面的形状(一个20面体)浮到窗口上，20个答案中的其中一个是可见的，告诉您问题的答案。

5.The 20-sided shape (an icosahedron) floats to the window and one of the 20 answers is visible, telling you the answer to your question.

这个有着20个面的形状(一个20面体)浮到窗口上，20个答案中的其中一个是可见的，告诉您问题的答案。

6.Because of the symmetrical shell structure of the icosahedron, the distribution of the ionic kinetic energy features some pinnacles.

由于正二十面体的对称壳层结构，离子动能分布具有尖峰结构。

7.An icosahedron with twenty equilateral triangles as faces.

有二十个正三角形面的二十面体。

8.The game designer used an icosahedron to create a unique dice for tabletop role-playing games.

游戏设计师使用一个二十面体来为桌面角色扮演游戏创造独特的骰子。

9.In geometry class, we learned how to calculate the surface area of an icosahedron.

在几何课上，我们学习了如何计算二十面体的表面积。

10.The artist crafted a sculpture that resembled an icosahedron using metal rods.

艺术家用金属杆制作了一个类似于二十面体的雕塑。

11.An icosahedron is one of the five Platonic solids, known for its symmetry.

二十面体是五种柏拉图立体之一，以其对称性而闻名。

12.The children played with a colorful icosahedron that had different shapes on each face.

孩子们玩着一个五颜六色的二十面体，每个面上都有不同的形状。

作文

The study of geometry has always fascinated mathematicians and artists alike. Among the many shapes that exist in the realm of geometry, the icosahedron stands out due to its unique properties and aesthetic appeal. An icosahedron is a three-dimensional shape that consists of twenty triangular faces, thirty edges, and twelve vertices. This polyhedron is one of the five Platonic solids, which are convex shapes with identical faces composed of congruent convex regular polygons. The icosahedron is particularly interesting because it is the most complex of these solids, showcasing the beauty of symmetry and balance in nature. One of the reasons why the icosahedron captures the imagination is its prevalence in various fields such as architecture, art, and science. In architecture, the icosahedron can be seen in geodesic domes, which are structures that utilize the shape's strength and stability. These domes are not only aesthetically pleasing but also environmentally friendly, as they maximize space while minimizing material usage. Artists often draw inspiration from the icosahedron, using its geometric form to create stunning sculptures and installations that challenge our perceptions of space and dimension. In the realm of science, the icosahedron plays a crucial role in the study of viruses. Many viruses, such as the poliovirus and the adenovirus, exhibit an icosahedral symmetry in their structure. This symmetry allows for efficient packing of genetic material within the viral capsid, making the icosahedron a perfect model for understanding viral behavior and interactions. Scientists have leveraged this knowledge to develop vaccines and treatments, highlighting the importance of geometry in biological research. Moreover, the icosahedron has intriguing mathematical properties that contribute to its significance in theoretical studies. For instance, Euler's formula, which relates the number of vertices, edges, and faces of a polyhedron, holds true for the icosahedron. According to Euler's formula, V - E + F = 2, where V represents the number of vertices, E the number of edges, and F the number of faces. For the icosahedron, this equation balances perfectly: 12 - 30 + 20 = 2. Such mathematical relationships deepen our understanding of spatial relationships and the fundamental principles governing three-dimensional shapes. In conclusion, the icosahedron is more than just a geometric figure; it is a symbol of harmony and complexity found throughout nature and human creation. Its applications in architecture, art, and science demonstrate how a simple shape can have profound implications across various disciplines. As we continue to explore the connections between geometry and the world around us, the icosahedron will undoubtedly remain a subject of fascination for generations to come. Understanding the icosahedron not only enriches our knowledge of geometry but also enhances our appreciation for the intricate designs that exist in both the natural and man-made worlds.

几何学的研究一直吸引着数学家和艺术家。在几何学的众多形状中，二十面体因其独特的性质和美学吸引力而脱颖而出。二十面体是一种三维形状，由二十个三角形面、三十条边和十二个顶点组成。这种多面体是五种柏拉图固体之一，这些固体是具有相同面且由全等的凸正多边形组成的凸形状。二十面体特别有趣，因为它是这些固体中最复杂的，展示了自然界中对称和平衡的美。 二十面体之所以引人入胜，是因为它在建筑、艺术和科学等多个领域的普遍存在。在建筑中，二十面体可以在地球球形屋顶中看到，这些结构利用该形状的强度和稳定性。这些圆顶不仅在美学上令人愉悦，而且环保，因为它们最大化空间，同时最小化材料使用。艺术家们常常从二十面体中汲取灵感，利用其几何形态来创作令人惊叹的雕塑和装置，挑战我们对空间和维度的认知。 在科学领域，二十面体在病毒研究中发挥着至关重要的作用。许多病毒，如脊髓灰质炎病毒和腺病毒，在其结构中表现出二十面体的对称性。这种对称性允许病毒衣壳内高效包装遗传物质，使二十面体成为理解病毒行为和相互作用的完美模型。科学家们利用这一知识开发疫苗和治疗方法，突显了几何学在生物研究中的重要性。 此外，二十面体具有引人入胜的数学性质，增加了其在理论研究中的重要性。例如，欧拉公式将多面体的顶点数、边数和面数联系起来，对于二十面体来说，这一公式成立。根据欧拉公式，V - E + F = 2，其中V代表顶点数，E代表边数，F代表面数。对于二十面体来说，这个方程平衡得恰到好处：12 - 30 + 20 = 2。这种数学关系加深了我们对空间关系和支配三维形状的基本原则的理解。 总之，二十面体不仅仅是一个几何图形；它是自然和人类创造中和谐与复杂性的象征。它在建筑、艺术和科学中的应用表明，一个简单的形状可以在各个学科中产生深远的影响。随着我们继续探索几何学与周围世界之间的联系，二十面体无疑将继续成为几代人所着迷的主题。理解二十面体不仅丰富了我们对几何学的知识，也增强了我们对自然界和人造世界中存在的复杂设计的欣赏。