decahedron

简明释义

英[ˌdekəˈhiːdrən;ˌdekəˈhedrən]美[ˌdekəˈhiːdrən]

n. [数] 十面体

复 数 d e c a h e d r a 或 d e c 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 geometry class, we learned that a regular decahedron (十面体) has ten faces, each of which is a regular polygon.

在几何课上，我们了解到一个规则的decahedron（十面体）有十个面，每个面都是一个规则多边形。

2.The artist created a sculpture in the shape of a decahedron (十面体) to represent complexity and harmony.

这位艺术家创作了一个形状为decahedron（十面体）的雕塑，以代表复杂性和和谐。

3.During the math competition, one of the problems involved calculating the volume of a decahedron (十面体).

在数学竞赛中，有一道题目涉及到计算一个decahedron（十面体）的体积。

4.In architecture, some buildings are designed with a decahedron (十面体) structure for aesthetic purposes.

在建筑设计中，一些建筑采用了decahedron（十面体）结构以达到美观的效果。

5.The game included a dice shaped like a decahedron (十面体) which added a unique element to gameplay.

这个游戏包含了一个形状像decahedron（十面体）的骰子，为游戏增添了独特的元素。

作文

In the realm of geometry, shapes play a crucial role in our understanding of space and form. One fascinating shape that often captures the imagination of students and mathematicians alike is the decahedron. A decahedron is a three-dimensional geometric figure that consists of ten faces, which can be either regular or irregular. The term itself comes from the Greek words 'deka,' meaning ten, and 'hedron,' meaning face. This unique polyhedron can take on various forms, but one of the most common types is the regular decahedron, which features ten identical polygonal faces, typically pentagons. The study of decahedrons is not just an academic exercise; it has practical applications in various fields such as architecture, engineering, and even art. For instance, architects often use geometric principles to create visually appealing structures, and understanding the properties of a decahedron can help in designing buildings that are both aesthetically pleasing and structurally sound. Moreover, in the realm of computer graphics, 3D modeling often involves manipulating shapes like the decahedron to create complex designs and animations. One interesting aspect of the decahedron is its relationship with other polyhedra. For example, if we were to connect the midpoints of the edges of a decahedron, we would create a new polyhedron known as the truncated decahedron. This transformation showcases the beauty of geometric relationships and how one shape can lead to the discovery of another. Mathematically, the decahedron has some intriguing properties. It has 20 edges and 12 vertices, which can be derived from Euler's formula for polyhedra: V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces. This relationship highlights the interconnectedness of different elements within the decahedron and emphasizes the importance of geometry in understanding spatial relationships. In conclusion, the decahedron is more than just a geometric figure; it represents a bridge between mathematics, art, and real-world applications. By exploring the properties and significance of the decahedron, we gain a deeper appreciation for the beauty and complexity of the shapes that surround us. Whether we encounter a decahedron in a classroom, a piece of art, or an architectural marvel, it serves as a reminder of the intricate patterns and structures that define our world. Embracing the study of shapes like the decahedron can inspire curiosity and creativity in learners of all ages, encouraging them to delve deeper into the fascinating world of geometry.

在几何学的领域中，形状在我们理解空间和形态方面扮演着至关重要的角色。一种常常吸引学生和数学家想象力的迷人形状是十面体。十面体是一种三维几何图形，由十个面组成，这些面可以是规则的或不规则的。这个术语本身来自希腊语单词“deka”，意为十，以及“hedron”，意为面。这个独特的多面体可以呈现出各种形式，但最常见的类型之一是规则的十面体，它具有十个相同的多边形面，通常是五边形。 对十面体的研究不仅仅是学术上的练习；它在建筑、工程甚至艺术等各个领域具有实际应用。例如，建筑师经常使用几何原理来创建视觉上令人愉悦的结构，而理解十面体的特性可以帮助设计出既美观又结构稳固的建筑。此外，在计算机图形学领域，3D建模通常涉及操纵像十面体这样的形状，以创建复杂的设计和动画。 十面体的一个有趣方面是它与其他多面体的关系。例如，如果我们连接十面体的边的中点，我们将创建一个新的多面体，称为截顶十面体。这种变换展示了几何关系的美丽，以及一个形状如何导致另一个形状的发现。 从数学上看，十面体具有一些引人入胜的性质。它有20条边和12个顶点，这可以通过欧拉公式推导得出：V - E + F = 2，其中V是顶点数，E是边数，F是面数。这个关系突显了十面体内部不同元素之间的相互联系，并强调了几何在理解空间关系中的重要性。 总之，十面体不仅仅是一个几何图形；它代表着数学、艺术和现实世界应用之间的桥梁。通过探索十面体的特性和意义，我们对定义我们世界的形状的美丽和复杂性有了更深的欣赏。无论我们是在课堂、艺术作品还是建筑奇迹中遇到十面体，它都提醒我们周围的复杂模式和结构。拥抱对像十面体这样的形状的研究，可以激发所有年龄段学习者的好奇心和创造力，鼓励他们深入探索几何学的迷人世界。