vertices

简明释义

英[ˈvɜːtɪsiːz]美[ˈvɜːrtəˌsiz]

n. 至高点；天顶；头顶（vertex 的复数）

英英释义

单词用法

同义词

反义词

例句

1.Because one vertex can only have one normal, you must duplicate the vertices as well.

由于一个顶点只能有一条法线，所以你还要复制顶点。

2.If you would like to move the vertices you created around, then go into move mode.

如果您想移动创建的顶点附近，然后进入移动模式。

3.Both Face objects have four vertices, but you can create a Face with any number of points.

这两个Face对象都有4个顶点，但实际上可以创建有任意个点的Face。

4.When using texturing, you might still want to use colors obtained by lighting or directly assigned to vertices.

在进行纹理化处理时，您可能依然希望使用通过照明获得或直接指派给顶点的颜色。

5.Graph: a graph is composed of a set of vertices and a set of edges.

图表：图表是由一组顶点和一组边构成的。

6.VERTEX_POSITIONS defines eight vertices in the same order, as shown in Figure 1a.

VERTEX _ POSITIONS以同样的顺序定义了与图1a相同的8个顶点。

7.To reduce memory, you first separate the vertices from their triangle definitions.

为节约内存，首先应将顶点与其三角形定义分隔开来。

8.In geometry, a triangle has three vertices (顶点) that connect its sides.

在几何学中，一个三角形有三个顶点（vertices）连接它的边。

9.To find the area of a polygon, you can use the coordinates of its vertices (顶点).

要找出多边形的面积，可以使用其顶点（vertices）的坐标。

10.The vertices (顶点) of a polygon are the points where its sides meet.

多边形的顶点（vertices）是其边相交的点。

11.The shape formed by connecting the vertices (顶点) of a cube is a square.

通过连接立方体的顶点（vertices）形成的形状是一个正方形。

12.In computer graphics, we often manipulate the vertices (顶点) of 3D models.

在计算机图形学中，我们经常操作3D模型的顶点（vertices）。

作文

In the world of geometry, understanding the concept of vertices is crucial for anyone who wishes to delve deeper into the subject. A vertex is defined as a point where two or more curves, lines, or edges meet. In simpler terms, it is a corner or a junction in a geometric shape. For instance, in a triangle, there are three vertices, while a square has four. This fundamental idea serves as the backbone for many complex geometrical concepts and calculations.To illustrate the importance of vertices, let us consider the different types of polygons. A polygon is a closed figure with straight sides, and the number of vertices directly correlates to the type of polygon. A pentagon has five vertices, a hexagon has six, and so on. Each vertex plays a significant role in defining the shape and properties of the polygon. For example, the angles formed at each vertex contribute to the overall angle sum of the polygon, which can be calculated using the formula (n-2) × 180°, where n is the number of vertices.Moreover, the concept of vertices extends beyond two-dimensional shapes. In three-dimensional geometry, vertices become even more significant. A cube, for instance, has eight vertices, and understanding these points helps in visualizing and calculating the properties of the cube, such as its volume and surface area. When we talk about polyhedra, which are three-dimensional shapes with flat polygonal faces, the vertices are critical in determining the structure and stability of the shape.In computer graphics and modeling, vertices also play a vital role. They are used to define the corners of shapes in digital models. Each vertex carries information about its position in space, and when combined with other vertices, they form the mesh of a 3D object. This application emphasizes how the understanding of vertices transcends traditional geometry and finds relevance in modern technology.Furthermore, in graph theory, which is a branch of mathematics, vertices represent the nodes in a graph. Each vertex can connect to other vertices via edges, and studying these connections helps in solving various problems, such as finding the shortest path or analyzing networks. The versatility of vertices in different fields showcases their fundamental nature in mathematics and science.In conclusion, mastering the concept of vertices is essential for students and professionals alike. Whether one is studying basic geometry or diving into advanced mathematical theories, vertices serve as a foundational element that connects various concepts. Understanding how to identify and work with vertices not only enhances one's mathematical skills but also opens doors to various applications in real-world scenarios. Therefore, it is imperative to appreciate the significance of vertices in both theoretical and practical contexts, as they are integral to our understanding of shapes, structures, and systems around us.

在几何学的世界中，理解顶点的概念对于任何希望深入研究这一主题的人来说都是至关重要的。顶点被定义为两个或多个曲线、线条或边缘相交的点。简单来说，它是几何形状中的一个角落或交汇点。例如，在三角形中，有三个顶点，而正方形有四个。这个基本概念为许多复杂的几何概念和计算提供了基础。为了说明顶点的重要性，让我们考虑不同类型的多边形。多边形是一个有直边的封闭图形，而顶点的数量直接与多边形的类型相关。五边形有五个顶点，六边形有六个，依此类推。每个顶点在定义多边形的形状和性质方面都发挥着重要作用。例如，在每个顶点形成的角度会影响多边形的整体角度和总和，可以用公式(n-2) × 180°来计算，其中n是顶点的数量。此外，顶点的概念超越了二维形状。在三维几何中，顶点变得更加重要。例如，一个立方体有八个顶点，理解这些点有助于可视化和计算立方体的属性，如体积和表面积。当我们谈论多面体时，即具有平面多边形面的三维形状，顶点在确定形状的结构和稳定性方面至关重要。在计算机图形和建模中，顶点同样起着重要作用。它们用于定义数字模型中形状的角落。每个顶点携带有关其在空间中位置的信息，当与其他顶点结合时，它们形成3D对象的网格。这一应用强调了对顶点的理解超越了传统几何，并在现代技术中找到了相关性。此外，在图论中，这是数学的一个分支，顶点代表图中的节点。每个顶点可以通过边与其他顶点连接，研究这些连接有助于解决各种问题，例如寻找最短路径或分析网络。顶点在不同领域的多功能性展示了它们在数学和科学中的基本性质。总之，掌握顶点的概念对于学生和专业人士都是必不可少的。无论是学习基础几何还是深入研究高级数学理论，顶点都是连接各种概念的基础元素。了解如何识别和处理顶点不仅增强了个人的数学技能，还为现实场景中的各种应用打开了大门。因此，欣赏顶点在理论和实践背景下的重要性是至关重要的，因为它们是我们理解周围形状、结构和系统的不可或缺的组成部分。