octahedron

简明释义

英[ˌɒktəˈhiːdrən;ˌɒktəˈhedrən]美[ˌɑːktəˈhiːdrənˌˌɑːktəˈhedrən

n. 八面体

复 数 o c t a h e d r a 或 o c 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.Giza is in truth an octahedron. As such the Pyramids at Giza are a conduit that connects many worlds, inner and outer.

吉萨实际上是一个八面体，吉萨金字塔就是管道，连接着多个世界，不论是外部的还是内部的。

2.The main structure unit of clay minerals contains silicon-oxygen tetrahedron and aluminium-oxygen octahedron.

其主要结构单元是硅一氧四面体和铝一氧八面体。

3.The precision of hanging dynamic model based on CW equation was analyzed in detail, and a low earth orbit satellite octahedron configuration was simulated for validation.

对基于C-W方程的悬停动力学模型进行了精度分析，最后以低轨道航天器的八面体编队构型为例进行了数学仿真验证。

4.Advanced the octahedron frame model used in overall decision of manufacturing system.

提出了制造系统的八面体总体决策框架模型。

5.The central metals was six-coordinated with octahedron geometry.

金属中心为六配位略微变形的八面体几何构型。

6.The cycle sum of the rotation group of the octahedron was calculated.

八面体的旋转群的循环和已算出。

7.The particles of the spinel oxides prepared in microwave field have very regular octahedron or polyhedron crystal morphology with well crystallization.

用微波加热合成的尖晶石氧化物结晶度好，晶体颗粒呈规则的八面体或多面体形态。

8.Boundary surface analysis method for workspace of double-octahedron variable geometry truss robotic manipulators(VGTRM) is proposed in this paper.

提出了二重八面体变几何桁架机器人工作空间的边界曲面分析方法。

9.The results showed that tetrahedron and octahedron are the main forms of aluminum-oxide polyhedron in raw fly ash, and they exist in a multi-structural surrounding.

结果表明：粉煤灰中铝氧多面体主要以四面体和八面体形式存在。

10.The geometric shape known as an octahedron 八面体 has eight triangular faces.

被称为octahedron 八面体的几何形状有八个三角形面。

11.In our art class, we created models of an octahedron 八面体 using colored paper.

在我们的艺术课上，我们用彩色纸制作了一个octahedron 八面体模型。

12.The crystal structure of diamond can be described as an octahedron 八面体.

钻石的晶体结构可以描述为一个octahedron 八面体。

13.An octahedron 八面体 is one of the five Platonic solids in geometry.

一个octahedron 八面体是几何学中五种柏拉图立体之一。

14.When studying polyhedra, you will encounter the octahedron 八面体 frequently.

在学习多面体时，你会经常遇到octahedron 八面体。

作文

The world of geometry is filled with fascinating shapes and forms, each with its own unique properties and characteristics. Among these shapes, the octahedron stands out as one of the most intriguing polyhedra. An octahedron is a three-dimensional shape that has eight faces, twelve edges, and six vertices. This geometric figure can be found in various natural and man-made structures, making it an essential concept in both mathematics and art. To understand the significance of the octahedron, we first need to explore its basic structure. The eight faces of an octahedron are typically equilateral triangles, which means that all sides are of equal length and all angles are equal. This regularity gives the octahedron a symmetrical appearance, making it visually appealing. In fact, it is one of the five Platonic solids, which are highly regular, convex polyhedra whose faces are congruent regular polygons. The octahedron can be constructed by connecting the midpoints of the edges of a cube, illustrating the relationship between different geometric forms. In nature, the octahedron can be observed in crystal formations, particularly in minerals such as fluorite and diamond. The way these crystals grow often reflects the underlying symmetry of the octahedron, showcasing how geometry influences the physical world around us. Additionally, the octahedron is used in various fields, including architecture and design, where its unique shape can create aesthetically pleasing structures. For example, some modern buildings incorporate octahedral elements to enhance their visual impact. Beyond its physical manifestations, the octahedron also holds mathematical significance. It serves as a fundamental object of study in topology and geometry, helping mathematicians understand more complex shapes and their properties. The octahedron can also be used in the field of computer graphics, where it is employed to create models and simulations. Its simple yet elegant form makes it an ideal candidate for various applications in technology and science. Moreover, the octahedron has found its way into games and toys, particularly in the realm of tabletop role-playing games. The eight-sided die, known as a d8, is shaped like an octahedron, and it adds an element of chance and strategy to gameplay. This connection between the octahedron and gaming highlights how geometry can influence not only our understanding of space but also our recreational activities. In conclusion, the octahedron is a remarkable geometric shape that embodies both beauty and utility. Its eight triangular faces create a sense of harmony and balance, while its applications in nature, mathematics, and design demonstrate its versatility. Whether we encounter an octahedron in a crystal, a building, or a game, we are reminded of the intricate connections between geometry and the world around us. By studying and appreciating the octahedron, we gain a deeper understanding of the principles that govern both art and science, enriching our knowledge and inspiring creativity.

几何学的世界充满了迷人的形状和形式，每种形状都有其独特的属性和特征。在这些形状中，八面体作为一种最引人入胜的多面体而脱颖而出。八面体是一个三维形状，具有八个面、十二条边和六个顶点。这个几何图形可以在各种自然和人造结构中找到，使其成为数学和艺术中的一个重要概念。 要理解八面体的重要性，我们首先需要探讨它的基本结构。八面体的八个面通常是等边三角形，这意味着所有边的长度相等，所有角度也相等。这种规律性赋予了八面体一种对称的外观，使其在视觉上具有吸引力。实际上，它是五种柏拉图固体之一，这些固体是高度规则的凸多面体，其面是全等的规则多边形。通过连接立方体的边中点，可以构建出八面体，这展示了不同几何形状之间的关系。 在自然界中，八面体可以在晶体形成中观察到，特别是在氟石和钻石等矿物中。这些晶体的生长方式往往反映了八面体的基本对称性，展示了几何如何影响我们周围的物理世界。此外，八面体在建筑和设计等多个领域中被使用，其独特的形状可以创造出美观的结构。例如，一些现代建筑结合了八面体元素，以增强其视觉冲击力。 除了其物理表现外，八面体在数学上也具有重要意义。它作为拓扑学和几何学中的基本研究对象，帮助数学家理解更复杂的形状及其属性。八面体还可以用于计算机图形学领域，在那里它被用来创建模型和模拟。其简单而优雅的形状使其成为技术和科学中各种应用的理想候选者。 此外，八面体还出现在游戏和玩具中，尤其是在桌面角色扮演游戏领域。八面骰子，即d8，呈现为八面体的形状，为游戏增添了机会和策略的元素。这种八面体与游戏之间的联系突显了几何如何影响我们的空间理解以及我们的休闲活动。 总之，八面体是一个卓越的几何形状，体现了美和实用性。其八个三角形面创造了一种和谐和平衡的感觉，而其在自然、数学和设计中的应用则展示了它的多功能性。无论我们在晶体、建筑还是游戏中遇到八面体，都提醒我们几何与我们周围世界之间的复杂联系。通过研究和欣赏八面体，我们深入理解了支配艺术和科学的原则，丰富了我们的知识并激发了创造力。