pentahedron

简明释义

英[ˌpɛntəˈhɛdrən]美[ˌpɛntəˈhɛdrən]

n. [数] 五面体

复 数 p e n t a h e d r a 或 p e n t 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.A method is also presented for calculating the side area and volume of critical rocks with arbitrary pentahedron as example.

以任意五面体为例，介绍了危石侧面积、体积的计算方法。

2.A method is also presented for calculating the side area and volume of critical rocks with arbitrary pentahedron as example.

以任意五面体为例，介绍了危石侧面积、体积的计算方法。

3.The architect designed a unique building shaped like a pentahedron.

这位建筑师设计了一座形状像五面体的独特建筑。

4.In geometry class, we learned how to calculate the volume of a pentahedron.

在几何课上，我们学习了如何计算五面体的体积。

5.The artist created a sculpture that resembles a pentahedron.

这位艺术家创作了一件类似于五面体的雕塑。

6.During the workshop, we constructed models of a pentahedron using paper.

在工作坊期间，我们使用纸张制作了五面体的模型。

7.The pentahedron has five faces, which can be triangular or quadrilateral.

五面体有五个面，这些面可以是三角形或四边形。

作文

In the realm of geometry, various shapes and forms captivate our imagination and challenge our understanding. One such intriguing shape is the pentahedron, which is defined as a three-dimensional geometric figure with five faces. The term itself is derived from the Greek words 'penta,' meaning five, and 'hedron,' meaning face or surface. Understanding the properties and significance of the pentahedron can enhance our appreciation for the complexity of three-dimensional shapes. The pentahedron can take on several forms, but one of the most common types is the triangular prism, which consists of two triangular bases and three rectangular lateral faces. This particular structure not only exemplifies the basic characteristics of a pentahedron but also serves practical purposes in architecture and engineering. For instance, triangular prisms are often used in the design of roofs, where their shape allows for effective water drainage and structural stability. Another well-known example of a pentahedron is the square pyramid, which features a square base and four triangular faces that converge at a single point above the base. The square pyramid is not only a fundamental shape in geometry but also holds cultural significance, as seen in the construction of the ancient Egyptian pyramids. These monumental structures demonstrate the enduring appeal and importance of the pentahedron throughout history. When we delve deeper into the mathematical properties of the pentahedron, we uncover fascinating relationships between its faces, edges, and vertices. For instance, according to Euler's formula, which states that for any convex polyhedron, the relationship between the number of vertices (V), edges (E), and faces (F) can be expressed as V - E + F = 2. For a pentahedron, this means that if we have five faces, we can derive the number of vertices and edges it possesses, thus enhancing our understanding of its geometric structure. Moreover, the pentahedron serves as an excellent introduction to the world of polyhedra, which are three-dimensional shapes with flat polygonal faces. By studying the pentahedron, students can learn about more complex shapes like the dodecahedron, which has twelve faces, and the icosahedron, which has twenty. This exploration of polyhedra not only enriches our knowledge of geometry but also fosters critical thinking and problem-solving skills as we analyze and compare different shapes. In addition to its mathematical significance, the pentahedron also finds applications in various fields, including art, design, and computer graphics. Artists and designers often draw inspiration from geometric shapes to create visually striking compositions, while computer graphics professionals utilize the principles of geometry to render realistic three-dimensional models in video games and animations. In conclusion, the pentahedron is more than just a simple geometric figure; it is a gateway to understanding the complexities of three-dimensional shapes and their applications in the real world. Whether through its mathematical properties, historical significance, or artistic potential, the pentahedron offers a wealth of knowledge and inspiration. By exploring this fascinating shape, we can deepen our appreciation for the beauty and intricacy of geometry in our everyday lives.

在几何学的领域中，各种形状和形式吸引着我们的想象力并挑战着我们的理解。其中一个引人入胜的形状是pentahedron，它被定义为一个具有五个面的三维几何图形。这个术语本身源于希腊语单词“penta”，意思是五，和“hedron”，意思是面或表面。理解pentahedron的属性和意义可以增强我们对三维形状复杂性的欣赏。 pentahedron可以有几种形式，但最常见的一种是三角棱柱，它由两个三角形底面和三个矩形侧面组成。这种特定结构不仅体现了pentahedron的基本特征，而且在建筑和工程中也具有实用目的。例如，三角棱柱通常用于屋顶的设计，因为它们的形状可以有效排水并保持结构稳定。 另一个著名的pentahedron例子是方锥体，其具有一个方形底面和四个三角形面，这些面在底面上方的一个点汇聚。方锥体不仅是几何学中的基本形状，还具有文化意义，正如古埃及金字塔的建造所示。这些纪念性结构展示了pentahedron在历史上的持久吸引力和重要性。 当我们深入研究pentahedron的数学属性时，我们发现它的面、边和顶点之间存在着迷人的关系。例如，根据欧拉公式，该公式指出对于任何凸多面体，顶点数（V）、边数（E）和面数（F）之间的关系可以表示为V - E + F = 2。对于pentahedron，这意味着如果我们有五个面，我们可以推导出它所拥有的顶点和边的数量，从而加深我们对其几何结构的理解。 此外，pentahedron作为多面体世界的优秀介绍，三维形状具有平面多边形面。通过研究pentahedron，学生可以了解更复杂的形状，如具有十二个面的十二面体和具有二十个面的二十面体。这种对多面体的探索不仅丰富了我们对几何学的知识，还培养了批判性思维和解决问题的能力，因为我们分析和比较不同的形状。 除了其数学意义外，pentahedron还在艺术、设计和计算机图形等各个领域中找到了应用。艺术家和设计师经常从几何形状中汲取灵感，以创建视觉上引人注目的作品，而计算机图形专业人员则利用几何原理在视频游戏和动画中渲染逼真的三维模型。 总之，pentahedron不仅仅是一个简单的几何图形；它是理解三维形状复杂性及其在现实世界中应用的门户。无论是通过其数学属性、历史意义还是艺术潜力，pentahedron都提供了丰富的知识和灵感。通过探索这一迷人的形状，我们可以加深对几何在日常生活中美丽和复杂性的欣赏。