polyhedron

简明释义

英[ˌpɒliˈhiːdrən;ˌpɒliˈhedrən]美[ˌpɑːliˈhiːdrənˌˌpɑːliˈhedrən

n. 多面体

复 数 p o l y h e d r a 或 p o l y h e d r o n s

英英释义

单词用法

同义词

反义词

例句

1.Just know that the optimal solution for a non-integer problem is always one of the polyhedron vertices.

我们只需要知道非整型问题的优化解决方案通常都是一个多面体的顶点就好了。

2.Each cell in a Voronoi tessellation is a convex polyhedron.

泰森多边形法中的每个细胞镶嵌是一个凸多面体。

3.This paper presents a method to manufacture pipe elbows by hydro-bulging a tubular single-curvature polyhedron.

介绍了一种利用管状单曲率多面壳体液压胀形制造薄壁管道弯头工艺方法。

4.Firstly, the paper introduces the application requirement of Global Grid System, discusses the basic element of regular polyhedron subdivision.

首先介绍全球网格系统的应用需求，讨论采用正多面体剖分的基本要素。

5.Using the knowledge of abstract algebra, the rotation groups of the regular polyhedron are determined.

通过抽象代数知识，求出所有正多面体的旋转群。

6.This paper presents a new method which is based on edge structure information to obtain a line structure of a polyhedron.

本文提出了一种新的以多面体边缘结构信息为基础提取多面体线条结构的方法。

7.To transfer a polyhedron between the "sum-form" and the "intersection-form" is a fundamental problem in the mathematical programming.

将一个凸多面体在“和形式”与“交形式”之间进行转化是数学规划中的一个基本问题。

8.This paper proposes a novel approach for matching perspective views of a polyhedron.

本文提出了一种匹配多面体透视图的新算法。

9.A cube is a special type of polyhedron that has six equal square faces.

立方体是一种特殊类型的多面体，它有六个相等的正方形面。

10.The Dodecahedron is a polyhedron with twelve flat faces.

十二面体是一个有十二个平面面的多面体。

11.The artist created a sculpture in the shape of a polyhedron made from recycled materials.

这位艺术家用回收材料创作了一个形状像多面体的雕塑。

12.A regular polyhedron has faces that are all congruent regular polygons.

一个规则的多面体的面都是全等的规则多边形。

13.In geometry class, we learned how to calculate the volume of a polyhedron using various formulas.

在几何课上，我们学习了如何使用各种公式计算多面体的体积。

作文

A polyhedron is a three-dimensional geometric figure that is made up of flat polygonal faces, straight edges, and vertices. The term 'polyhedron' comes from the Greek words 'poly' meaning many and 'hedron' meaning face. This fascinating shape has been studied for centuries and plays a crucial role in various fields such as mathematics, architecture, and art. Understanding the properties and classifications of polyhedra can enhance our comprehension of spatial relationships and geometric principles.There are several types of polyhedra, each with unique characteristics. The most commonly known are the regular polyhedra, also known as Platonic solids. These solids have identical faces composed of congruent regular polygons. There are only five regular polyhedra: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. Each of these shapes exhibits remarkable symmetry and has been admired by mathematicians and artists alike.For instance, the cube, a familiar shape found in everyday life, consists of six square faces. Its symmetrical nature makes it an essential component in architecture and design. The octahedron, on the other hand, has eight triangular faces and is often seen in crystal formations. The study of these shapes leads to a deeper appreciation of geometry and its applications.In addition to regular polyhedra, there are irregular polyhedra that do not have uniform faces or angles. These shapes can be more complex and varied, allowing for a vast range of designs and structures. Irregular polyhedra can be found in nature, such as in certain minerals and biological forms. Their study provides insight into the diversity of shapes that can exist in three-dimensional space.The concept of polyhedra extends beyond pure mathematics; it is also significant in computer graphics and modeling. In the digital world, polyhedra serve as the foundation for creating three-dimensional objects. By manipulating the vertices, edges, and faces of polyhedra, designers can create intricate models used in video games, animations, and simulations. This intersection of mathematics and technology showcases the relevance of polyhedra in contemporary society.Furthermore, polyhedra can inspire artistic expression. Artists often draw upon the beauty of these geometric forms to create sculptures, installations, and visual artwork. The interplay of light and shadow on the surfaces of polyhedra can evoke a sense of movement and depth, captivating viewers and inviting them to explore the relationship between geometry and art.In conclusion, a polyhedron is more than just a geometric figure; it represents a bridge between mathematics, art, and technology. By studying polyhedra, we gain insights into the fundamental principles of geometry while also appreciating their aesthetic qualities. Whether in the classroom, the studio, or the virtual world, polyhedra continue to inspire curiosity and creativity, reminding us of the intricate connections between different fields of knowledge. As we delve deeper into the world of polyhedra, we uncover the beauty and complexity of shapes that define our three-dimensional reality.

多面体是一个三维几何图形，由平面多边形面、直边和顶点组成。‘多面体’这个术语来自希腊词，‘poly’意为许多，‘hedron’意为面。这种迷人的形状已经研究了几个世纪，并在数学、建筑和艺术等各个领域发挥着至关重要的作用。理解多面体的属性和分类可以增强我们对空间关系和几何原理的理解。多面体有几种类型，每种都有独特的特征。最常见的是规则多面体，也称为柏拉图立体。这些固体具有相同的面，由全等的规则多边形组成。只有五种规则多面体：四面体、立方体、八面体、十二面体和二十面体。这些形状每个都展现出显著的对称性，一直以来受到数学家和艺术家的赞赏。例如，立方体是日常生活中常见的形状，由六个正方形面组成。它的对称性使其成为建筑和设计中的重要组成部分。另一方面，八面体有八个三角形面，常见于晶体结构。这些形状的研究使我们对几何学及其应用有更深的欣赏。除了规则多面体，还有不规则多面体，它们没有均匀的面或角。这些形状可以更复杂和多样，允许广泛的设计和结构。不规则多面体可以在自然界中找到，例如某些矿物和生物形态。它们的研究提供了对三维空间中可能存在的形状多样性的洞察。多面体的概念超越了纯粹的数学；它在计算机图形和建模中也具有重要意义。在数字世界中，多面体作为创建三维物体的基础。通过操纵多面体的顶点、边和面，设计师可以创建用于视频游戏、动画和模拟的复杂模型。这种数学与技术的交汇展示了多面体在当代社会中的相关性。此外，多面体还可以激发艺术表现。艺术家们常常借鉴这些几何形状的美来创作雕塑、装置和视觉艺术。多面体表面上的光影交错可以唤起运动和深度感，吸引观众探索几何与艺术之间的关系。总之，多面体不仅仅是一个几何图形；它代表了数学、艺术和技术之间的桥梁。通过研究多面体，我们获得了对几何基本原理的深入理解，同时也欣赏到它们的美学特质。无论是在课堂上、工作室还是虚拟世界，多面体继续激发好奇心和创造力，提醒我们不同知识领域之间的复杂联系。当我们更深入地探索多面体的世界时，我们揭示了定义我们三维现实的形状的美丽和复杂性。