trihedron

简明释义

英[traɪˈhɪdrən;traɪˈhedrən]美[traɪˈhɪdrənˌtraɪˈhedrən]

n. [数] 三面体

复 数 t r i h e d r a 或 t r i 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 this paper, unit moving trihedron is first constructed for a point on the surface of a revolution ellipsoid.

摘要以旋转椭球体面上某点为原点建立一个大地坐标单位活动坐标架。

2.Differing from previous studies, the new method was derived from the idea of motion of moving trihedron along a predesigned path of contact on the predesigned (theoretical) tooth surface.

与以往的齿面加工方法不同，在新的齿面展成方法中，齿面展成运动是在沿预定接触迹线的曲面活动标架下设计的。

3.Differing from previous studies, the new method was derived from the idea of motion of moving trihedron along a predesigned path of contact on the predesigned (theoretical) tooth surface.

与以往的齿面加工方法不同，在新的齿面展成方法中，齿面展成运动是在沿预定接触迹线的曲面活动标架下设计的。

4.In geometry class, we learned how to calculate the volume of a trihedron 三面体 using its base area and height.

在几何课上，我们学习了如何使用底面积和高度来计算trihedron 三面体的体积。

5.The architect designed a stunning building that featured a large trihedron 三面体 as its central atrium.

建筑师设计了一座令人惊叹的建筑，中央中庭有一个大型的trihedron 三面体。

6.The artist's sculpture was inspired by the concept of a trihedron 三面体, representing balance and stability.

艺术家的雕塑受到trihedron 三面体概念的启发，象征着平衡与稳定。

7.The trihedron 三面体 is often used in architectural designs to create unique visual effects.

trihedron 三面体常用于建筑设计中，以创造独特的视觉效果。

8.In computer graphics, rendering a trihedron 三面体 can be quite complex due to its three-dimensional nature.

在计算机图形学中，渲染一个trihedron 三面体可能相当复杂，因为它具有三维特性。

作文

In the world of geometry, shapes and forms are essential to understanding the structure of our universe. Among these shapes, the concept of a trihedron is particularly fascinating. A trihedron is defined as a three-dimensional geometric figure that is formed by three planes intersecting at a single point. This intersection creates a solid that has both volume and surface area, making it an important subject of study in various fields such as mathematics, architecture, and physics.The simplest example of a trihedron is the tetrahedron, which consists of four triangular faces, six edges, and four vertices. The tetrahedron is a type of polyhedron and is the simplest form of a trihedron that can exist in three-dimensional space. Understanding the properties of a tetrahedron can provide insights into more complex trihedrons, as well as their applications in real-world scenarios.One of the most intriguing aspects of a trihedron is its role in structural engineering. Architects and engineers often utilize trihedrons in their designs to create stable frameworks for buildings and bridges. The triangular shape of the trihedron provides strength and stability, allowing structures to withstand various forces such as wind, gravity, and seismic activity. For instance, many modern skyscrapers incorporate triangular trusses, which are essentially trihedrons, to distribute weight evenly and enhance the overall stability of the building.Moreover, trihedrons are not only limited to architectural designs; they also play a significant role in computer graphics and modeling. In the realm of 3D animation and virtual reality, trihedrons serve as the building blocks for creating complex three-dimensional objects. By manipulating the vertices and edges of trihedrons, artists and designers can create intricate models that mimic real-life objects or entirely new creations. This application of trihedrons demonstrates their versatility and importance in both art and technology.In addition to practical applications, the study of trihedrons also holds theoretical significance in mathematics. The exploration of their properties leads to a deeper understanding of spatial relationships and dimensions. For example, mathematicians examine the relationships between the angles and lengths of the edges of trihedrons, which can reveal patterns and principles that govern more complex geometric forms.Furthermore, the concept of a trihedron can be extended beyond traditional geometry into the realms of physics and chemistry. In physics, the arrangement of atoms within a molecule can often be represented using trihedrons, allowing scientists to visualize and predict molecular behavior. Similarly, in crystallography, the arrangement of particles in a crystal lattice can be analyzed through the framework of trihedrons, providing crucial insights into material properties and behaviors.In conclusion, the trihedron is a fundamental geometric figure that plays a pivotal role in various disciplines, from architecture to computer graphics and even science. Its unique properties and applications highlight the interconnectedness of different fields of study. By delving deeper into the concept of trihedrons, we can gain a greater appreciation for the complexity and beauty of the world around us. Whether we are designing a skyscraper, creating a 3D model, or studying the arrangement of atoms, the trihedron remains a vital component of our understanding of three-dimensional space.

在几何学的世界中，形状和形式对理解我们宇宙的结构至关重要。在这些形状中，trihedron的概念尤其引人入胜。trihedron被定义为通过三个平面在一个点相交形成的三维几何图形。这种交点创建了一个既有体积又有表面积的固体，使其成为数学、建筑和物理等多个领域的重要研究对象。trihedron的最简单例子是四面体，它由四个三角面、六条边和四个顶点组成。四面体是一种多面体，是可以存在于三维空间中的最简单的trihedron形式。理解四面体的性质可以提供对更复杂的trihedrons的见解，以及它们在现实场景中的应用。trihedron最引人入胜的方面之一是它在结构工程中的作用。建筑师和工程师经常在设计中利用trihedrons来创建建筑和桥梁的稳定框架。trihedron的三角形状提供了强度和稳定性，使结构能够承受风、重力和地震等各种力量。例如，许多现代摩天大楼都采用三角桁架，这实际上就是trihedrons，以均匀分布重量并增强建筑的整体稳定性。此外，trihedrons不仅限于建筑设计；它们在计算机图形学和建模中也发挥着重要作用。在3D动画和虚拟现实领域，trihedrons作为创建复杂三维物体的构建模块。通过操纵trihedrons的顶点和边，艺术家和设计师可以创建复杂的模型，模拟现实生活中的物体或全新的创作。trihedrons的这一应用展示了它们在艺术和技术中的多样性和重要性。除了实际应用，trihedrons的研究在数学上也具有理论意义。对其性质的探索使我们对空间关系和维度有更深入的理解。例如，数学家研究trihedrons的角度和边长之间的关系，这可以揭示支配更复杂几何形状的模式和原则。此外，trihedron的概念还可以超越传统几何学，扩展到物理学和化学的领域。在物理学中，分子内原子的排列通常可以用trihedrons表示，从而使科学家能够可视化和预测分子行为。同样，在晶体学中，晶体格子中粒子的排列可以通过trihedrons的框架进行分析，从而提供有关材料特性和行为的重要见解。总之，trihedron是一个基本的几何图形，在建筑、计算机图形学甚至科学等多个学科中发挥着关键作用。它独特的属性和应用突显了不同研究领域之间的相互联系。通过深入探讨trihedrons的概念，我们可以更加欣赏周围世界的复杂性和美丽。无论我们是在设计摩天大楼、创建3D模型，还是研究原子的排列，trihedron始终是我们理解三维空间的重要组成部分。