polygonal line

简明释义

折线

英英释义

例句

1.The architect used a polygonal line to design the building's unique roof structure.

建筑师使用了一个多边形线来设计建筑物独特的屋顶结构。

2.The map displayed a polygonal line representing the hiking trail through the forest.

地图上显示了一条多边形线，表示穿越森林的远足小径。

3.In computer graphics, a polygonal line is often used to create shapes and outlines.

在计算机图形学中，多边形线通常用于创建形状和轮廓。

4.To analyze the data, we plotted a polygonal line graph showing the trends over time.

为了分析数据，我们绘制了一条多边形线图，显示随时间变化的趋势。

5.The designer created a polygonal line pattern for the fabric to give it a modern look.

设计师为织物创建了一个多边形线图案，以赋予它现代感。

作文

In the realm of geometry, various shapes and lines play a crucial role in understanding spatial relationships. One such fundamental concept is the polygonal line, which is a series of connected line segments that form a continuous path. This concept is not only essential in mathematics but also has practical applications in fields such as computer graphics, engineering, and even art. To comprehend the importance of a polygonal line, it is vital to explore its properties, applications, and significance in various domains.A polygonal line can be defined as a sequence of points connected by straight lines. Each point in the sequence is known as a vertex, and the line segments connecting these vertices are referred to as edges. The simplest form of a polygonal line consists of two vertices and one edge, forming a straight line. As more vertices are added, the complexity of the shape increases, allowing for the creation of various geometric figures. For instance, a triangle is a closed polygonal line with three vertices, while a square has four vertices and forms a closed loop.Understanding the properties of a polygonal line is essential for solving many geometric problems. One key property is that the total length of a polygonal line can be calculated by summing the lengths of its individual edges. This property is particularly useful in navigation and mapping, where determining the shortest path between two points is often required. By representing routes as polygonal lines, cartographers can create accurate maps that help travelers find their way.In computer graphics, polygonal lines are extensively used to render shapes and images. Graphics software often relies on polygonal lines to create complex images by connecting multiple vertices. This method allows for efficient rendering of shapes, as computers can easily calculate the position of each vertex and draw lines between them. Moreover, polygonal lines are integral to vector graphics, where images are represented using mathematical equations rather than pixels. This results in scalable images that maintain quality regardless of size.In engineering, polygonal lines serve as fundamental components in designing structures and mechanical parts. Engineers often use polygonal lines to represent the outlines of objects, ensuring precision in measurements and specifications. Additionally, in simulations and modeling, polygonal lines help visualize complex systems, allowing engineers to analyze and optimize designs before physical prototypes are constructed.Art also embraces the concept of polygonal lines, as many artists utilize them to create abstract and geometric compositions. The simplicity of polygonal lines allows for a wide range of artistic expression, from minimalist designs to intricate patterns. Artists can manipulate the arrangement and connection of these lines to evoke emotions and convey messages through their work.In conclusion, the polygonal line is a fundamental geometric concept with diverse applications across various fields. Its ability to connect points and form shapes makes it invaluable in mathematics, computer graphics, engineering, and art. By understanding the properties and significance of polygonal lines, one can appreciate their role in shaping our understanding of the world around us. Whether navigating a map, designing a graphic, constructing a building, or creating a piece of art, polygonal lines are an essential tool that bridges the gap between theory and practice.

在几何学的领域中，各种形状和线条在理解空间关系方面发挥着至关重要的作用。其中一个基本概念是多边形线，它是一系列连接的线段，形成一条连续的路径。这个概念不仅在数学中至关重要，而且在计算机图形学、工程甚至艺术等领域也有实际应用。要理解多边形线的重要性，有必要探讨其性质、应用及在各个领域的意义。多边形线可以定义为一系列由直线连接的点。序列中的每个点称为顶点，而连接这些顶点的线段被称为边。最简单形式的多边形线由两个顶点和一条边组成，形成一条直线。随着更多顶点的添加，形状的复杂性增加，从而允许创建各种几何图形。例如，三角形是一个具有三个顶点的封闭多边形线，而正方形则有四个顶点并形成一个闭合的循环。理解多边形线的性质对于解决许多几何问题至关重要。一个关键特性是可以通过求和其各个边的长度来计算多边形线的总长度。这个特性在导航和制图中尤为有用，因为在许多情况下需要确定两点之间的最短路径。通过将路线表示为多边形线，制图师能够创建准确的地图，帮助旅行者找到方向。在计算机图形学中，多边形线被广泛用于渲染形状和图像。图形软件通常依赖于多边形线通过连接多个顶点来创建复杂的图像。这种方法允许高效地渲染形状，因为计算机可以轻松计算每个顶点的位置并绘制它们之间的线。此外，多边形线是矢量图形的核心，图像使用数学方程而非像素表示。这导致了可缩放的图像，无论大小如何都能保持质量。在工程中，多边形线作为设计结构和机械零件的基本组件。工程师经常使用多边形线表示物体的轮廓，以确保测量和规格的精确。此外，在模拟和建模中，多边形线有助于可视化复杂系统，使工程师能够在构建物理原型之前分析和优化设计。艺术也接受了多边形线的概念，许多艺术家利用它们创作抽象和几何作品。多边形线的简单性允许广泛的艺术表现，从极简设计到复杂图案。艺术家可以操纵这些线条的排列和连接，以唤起情感并通过他们的作品传达信息。总之，多边形线是一个基本的几何概念，在各个领域有着多样的应用。它连接点并形成形状的能力使其在数学、计算机图形学、工程和艺术中不可或缺。通过理解多边形线的性质和重要性，人们可以欣赏它们在塑造我们对周围世界的理解中的作用。无论是在地图上导航、设计图形、构建建筑还是创作艺术作品，多边形线都是一种弥合理论与实践之间差距的重要工具。