tetrahedra

简明释义

[/ˌtɛtrəˈhɛdrə/][/ˌtɛtrəˈhɛdrə/]

n. 四面体(tetrahedron 的变形)

英英释义

A polyhedron with four faces, typically triangular, which is the simplest form of a three-dimensional shape.

一种具有四个面(通常是三角形)的多面体,是三维形状中最简单的形式。

The plural form of tetrahedron, referring to multiple such geometric shapes.

tetrahedron的复数形式,指多个这样的几何形状。

单词用法

同义词

triangular pyramid

三角锥

The tetrahedra can be found in various geometric structures.

四面体可以在各种几何结构中找到。

pyramid

金字塔

In mathematics, a triangular pyramid is often studied for its properties.

在数学中,三角锥常常被研究其特性。

反义词

polyhedron

多面体

A polyhedron can have many faces, while a tetrahedron has only four.

多面体可以有很多面,而四面体只有四个面。

sphere

球体

In geometry, a sphere is defined as a perfectly round three-dimensional shape, unlike a tetrahedron.

在几何中,球体被定义为一个完美的三维圆形,与四面体不同。

例句

1.We present an algorithm for compositing density clouds used to represent scalar fields on a 3d volume subdivided into tetrahedra.

提出了一种新的密度云图像合成算法,用于表现3d数据场的分布。

2.This causes the tetrahedra and resulting ray trace to be incorrect.

这会导致四面体和光线跟踪的结果不正确。

3.The analysis of infrared spectrum and X-ray photoelectron spectroscopy indicated that BO_4 tetrahedra substituted SiO_4 tetrahedra and was introduced into the dioctahedral structure of saponite.

红外光谱及X-射线光电子能谱研究表明硼氧四面体取代硅氧四面体而进入二八面体结构;

4.The analysis of infrared spectrum and X-ray photoelectron spectroscopy indicated that BO_4 tetrahedra substituted SiO_4 tetrahedra and was introduced into the dioctahedral structure of saponite.

红外光谱及X-射线光电子能谱研究表明硼氧四面体取代硅氧四面体而进入二八面体结构;

5.The analysis indicated that BO_4 tetrahedra substituted SiO_4 tetrahedra and was introduced into the dioctahedral structure of saponite.

分析表明硼氧四面体取代硅氧四面体,并被引入皂是石的二八面体结构中。

6.We observe that phases with a larger number of relatively rigid tetrahedra per volume tend to compress at a slower rate of at lower pressures, which is reflected in a higher value of K.

我们观察发现,该相的单位体积内含有大量的刚性四面体,在低压下以较低速率压缩,具体表现在有较高的K值。

7.In computer graphics, tetrahedra 四面体 are often used to create 3D models.

在计算机图形学中,tetrahedra 四面体 常用于创建三维模型。

8.The artist used tetrahedra 四面体 to create a unique sculpture that caught everyone's attention.

艺术家使用 tetrahedra 四面体 创作了一件独特的雕塑,吸引了所有人的注意。

9.In geometry class, we learned that tetrahedra 四面体 are one of the simplest forms of polyhedra.

在几何课上,我们了解到 tetrahedra 四面体 是多面体中最简单的形式之一。

10.The molecular structure of methane can be represented by a tetrahedron 四面体 shape.

甲烷的分子结构可以用 tetrahedron 四面体 形状表示。

11.We studied the properties of tetrahedra 四面体 in our mathematics project.

在我们的数学项目中,我们研究了 tetrahedra 四面体 的性质。

作文

The world of geometry is filled with fascinating shapes and structures, one of which is the tetrahedra. A tetrahedra is a three-dimensional shape that consists of four triangular faces, six edges, and four vertices. It is one of the simplest forms of polyhedra, making it a fundamental object of study in both mathematics and science. The basic properties of a tetrahedra can be easily understood, yet they lead to complex implications in various fields such as architecture, chemistry, and even art.To visualize a tetrahedra, imagine a pyramid with a triangular base. If you take a triangular piece of paper and fold its corners upwards to meet at a point above the center of the base, you will create a shape that resembles a tetrahedra. This simplicity in design is what makes the tetrahedra so intriguing. In mathematics, the tetrahedra serves as a building block for more complex geometric shapes. For example, when multiple tetrahedra are combined, they can form intricate polyhedral structures that have applications in various scientific fields.In chemistry, the tetrahedra plays a crucial role in understanding molecular structures. Many molecules, especially those containing carbon atoms, adopt a tetrahedral geometry. This means that the atoms are arranged around a central atom in such a way that they form the corners of a tetrahedra. This arrangement allows for optimal bonding angles and is essential for the stability of the molecule. For instance, methane (CH4) is a well-known example of a tetrahedral molecule, where the carbon atom is at the center and the four hydrogen atoms occupy the vertices of the tetrahedra. Understanding this geometry helps chemists predict how molecules will interact with each other.Moreover, the tetrahedra has inspired artists and architects throughout history. The clean lines and symmetrical properties of the tetrahedra make it an appealing shape for design purposes. Many modern buildings incorporate geometric elements that resemble tetrahedra, creating visually striking structures that also provide structural integrity. Artists have also used the tetrahedra as a motif in their work, exploring the interplay of light and shadow created by its angular surfaces.In addition to its aesthetic appeal, the tetrahedra holds significant mathematical interest. The study of tetrahedra leads to deeper explorations of topology and spatial reasoning. For example, mathematicians investigate the properties of various types of tetrahedra, such as regular tetrahedra, which have all sides and angles equal, versus irregular ones, which do not. These investigations can reveal insights into higher-dimensional spaces and contribute to theories in physics and cosmology.In conclusion, the tetrahedra is more than just a simple geometric shape; it is a fundamental element that connects various fields of study. Whether in mathematics, chemistry, art, or architecture, the tetrahedra serves as a bridge linking abstract concepts with tangible applications. Its unique properties and versatility make it a subject worth exploring for anyone interested in the beauty and complexity of the world around us. By understanding the tetrahedra, we gain insight into the underlying principles that govern both nature and human creativity.

几何学的世界充满了迷人的形状和结构,其中之一就是四面体四面体是一种三维形状,由四个三角形面、六条边和四个顶点组成。它是多面体中最简单的形式之一,是数学和科学研究的基本对象。四面体的基本属性可以很容易地理解,但它们在建筑、化学甚至艺术等各个领域都引发了复杂的影响。要想象一个四面体,可以想象一个底面为三角形的金字塔。如果你拿一张三角形的纸,把角向上折叠至基底中心的上方,你就会创造出一个类似于四面体的形状。这种设计的简单性使得四面体如此引人入胜。在数学中,四面体作为更复杂几何形状的构建块。例如,当多个四面体组合在一起时,它们可以形成复杂的多面体结构,这些结构在各个科学领域都有应用。在化学中,四面体在理解分子结构方面发挥着重要作用。许多分子,尤其是含有碳原子的分子,采用四面体几何形状。这意味着原子围绕中心原子排列,形成四面体的顶点。这种排列允许最佳的键角,并对分子的稳定性至关重要。例如,甲烷(CH4)就是一个众所周知的四面体分子,其中碳原子位于中心,四个氢原子占据四面体的顶点。理解这种几何形状帮助化学家预测分子之间的相互作用。此外,四面体在历史上也激励了艺术家和建筑师。四面体的干净线条和对称特性使其成为设计目的的吸引形状。许多现代建筑融入了类似于四面体的几何元素,创造出视觉上引人注目的结构,同时也提供了结构完整性。艺术家们也在他们的作品中使用四面体作为主题,探索其角面所创造的光影交错。除了美学吸引力外,四面体还具有重要的数学意义。对四面体的研究引导我们深入探讨拓扑学和空间推理。例如,数学家们研究各种类型的四面体的性质,比如所有边和角相等的正四面体与不等的非正四面体。这些研究可以揭示高维空间的深刻见解,并对物理学和宇宙学的理论作出贡献。总之,四面体不仅仅是一种简单的几何形状;它是连接各个研究领域的基本元素。无论是在数学、化学、艺术还是建筑中,四面体都作为抽象概念与具体应用之间的桥梁。它独特的属性和多样性使其成为任何对周围世界的美丽和复杂性感兴趣的人值得探索的主题。通过理解四面体,我们可以深入了解支配自然与人类创造力的基本原则。