polygon

简明释义

[ˈpɒlɪɡən][ˈpɑːliɡɑːn]

n. 多边形;多角形物体

英英释义

A polygon is a closed plane figure that is formed by a finite number of straight line segments connected end to end.

多边形是由有限数量的直线段首尾相连形成的封闭平面图形。

Polygons can have three or more sides, and they are classified based on the number of sides they have, such as triangles, quadrilaterals, pentagons, etc.

多边形可以有三条或更多的边,并根据边的数量进行分类,如三角形、四边形、五边形等。

单词用法

regular polygon

正多边形;正多角形

convex polygon

凸多边形;凸面多角形

同义词

shape

形状

The polygon is a closed shape with straight sides.

多边形是一个封闭的形状,具有直边。

figure

图形

In geometry, a figure can be classified as a polygon if it has three or more sides.

在几何学中,如果一个图形有三条或更多边,就可以被归类为多边形。

form

形式

The form of the polygon can vary depending on the number of sides.

多边形的形式可以根据边的数量而变化。

反义词

circle

A circle has no corners or edges.

圆没有角或边。

curve

曲线

The path followed by the roller coaster is a smooth curve.

过山车的轨迹是一条平滑的曲线。

例句

1.Why would I want a polygon structure if I'm just going to hide it?

如果我想要隐藏它为什么我还想要多边形结构。

2.Although the bounding box is a polygon defining the area represented for the user, I simplify and use one point of this data.

尽管这个边界框是一个用于定义表示用户的区域的多边形,但我简化并使用该数据的一个点。

3.Draw another polygon on top of the player interface. Repeat Step 36, adding texture and layer styles.

画出另一个多边形上的球员的界面。重复步骤36,增加纹理和层风格。

4.To reduce the polygon count I made the haystack hollow.

为了减少多边形计数,我制作了空心草堆。

5.But it was too slow to create fast polygon fillers with it.

但它的速度太慢,使用它创建快速多边形填充物。

6.Triangles are popular with 3d implementations because you can define any polygon as a set of triangles.

任何多边形都可定义为一组三角形的集合,因此三角形在3d实现中应用十分广泛。

7.For the simplicity and suitability of the polygon meshes, they have become the most appropriate representation of those models.

由于多边形网格的简单性和普适性,使之成为该类模型较为适宜的表示方法。

8.The area of a regular polygon can be calculated using specific formulas.

规则多边形的面积可以使用特定公式计算。

9.In geometry, a triangle is the simplest form of a polygon.

在几何学中,三角形是最简单的多边形形式。

10.You can create a polygon by connecting points on a graph.

通过连接图上的点,你可以创建一个多边形

11.A polygon is a flat shape with straight sides.

一个多边形是一个具有直边的平面形状。

12.A polygon can have any number of sides, but it must have at least three.

一个多边形可以有任意数量的边,但至少必须有三条边。

作文

In the world of geometry, few shapes are as fascinating and versatile as the polygon. A polygon is defined as a two-dimensional geometric figure that is formed by connecting a finite number of straight line segments to create a closed shape. The simplest example of a polygon is a triangle, which has three sides. As we add more sides, we encounter various types of polygons, such as quadrilaterals (four sides), pentagons (five sides), and hexagons (six sides). Each of these shapes has unique properties and characteristics that make them interesting to study.The study of polygons is not just an academic exercise; it has practical applications in various fields, including architecture, engineering, and computer graphics. For instance, architects often use polygons to design buildings and other structures. The angles and dimensions of polygons can significantly impact the stability and aesthetic appeal of a structure. Similarly, in engineering, polygons play a crucial role in creating models and simulations that help engineers visualize and analyze complex systems.In computer graphics, polygons are fundamental to rendering images on screens. Most digital images are made up of tiny dots called pixels, but when creating 3D models, designers often use polygons to define the surfaces of objects. The more polygons used in a model, the smoother and more detailed it appears. However, too many polygons can slow down rendering times, so there is always a balance to strike between detail and performance.Another interesting aspect of polygons is their classification based on the number of sides they possess. Regular polygons have all sides and angles equal, while irregular polygons do not. For example, a square is a regular polygon because all four sides are equal in length, whereas a rectangle is an irregular polygon because its opposite sides are equal, but adjacent sides are not. This classification extends further into categories like concave and convex polygons. A convex polygon has all interior angles less than 180 degrees, while a concave polygon has at least one interior angle greater than 180 degrees.Moreover, the concept of polygons extends beyond simple shapes. In higher mathematics, polygons can be studied in relation to their properties and theorems, such as the Polygon Interior Angle Sum Theorem, which states that the sum of the interior angles of a polygon can be calculated using the formula (n-2) × 180°, where n is the number of sides. This theorem is particularly useful in various applications, including computer-aided design and architectural planning.In conclusion, polygons are an essential part of geometry with significant implications in real-world applications. Their diverse forms and properties make them a subject of interest for mathematicians, scientists, and artists alike. Whether we are designing a building, creating a video game, or analyzing data, understanding polygons enriches our comprehension of the world around us. As we continue to explore and apply the principles of polygons, we unlock new possibilities in both theoretical and practical realms.

在几何学的世界中,鲜有形状像多边形一样迷人和多样化。多边形被定义为一种二维几何图形,它是通过连接有限数量的直线段形成的封闭形状。多边形的最简单例子是三角形,它有三条边。当我们增加边数时,我们会遇到各种类型的多边形,例如四边形(四条边)、五边形(五条边)和六边形(六条边)。这些形状各自具有独特的属性和特征,使它们的研究变得有趣。对多边形的研究不仅仅是学术练习;它在建筑、工程和计算机图形等多个领域具有实际应用。例如,建筑师经常使用多边形来设计建筑物和其他结构。多边形的角度和尺寸对结构的稳定性和美观性有显著影响。类似地,在工程中,多边形在创建模型和模拟中发挥着重要作用,帮助工程师可视化和分析复杂系统。在计算机图形学中,多边形是渲染屏幕上图像的基础。大多数数字图像由称为像素的小点组成,但在创建3D模型时,设计师通常使用多边形来定义物体的表面。模型中使用的多边形越多,外观就越平滑和细致。然而,过多的多边形会减慢渲染时间,因此在细节和性能之间总是需要保持平衡。多边形的另一个有趣方面是根据边数对其进行分类。规则多边形的所有边和角都相等,而不规则多边形则不然。例如,正方形是一个规则的多边形,因为它的四条边长度相等,而矩形是一个不规则的多边形,因为其对边相等,但相邻边却不相等。这种分类还延伸到凹形和凸形多边形等类别。凸多边形的所有内角都小于180度,而凹多边形至少有一个内角大于180度。此外,多边形的概念超出了简单的形状。在更高的数学中,可以研究多边形的性质和定理,例如多边形内角和定理,该定理指出,多边形的内角和可以使用公式(n-2) × 180°来计算,其中n是边的数量。这个定理在计算机辅助设计和建筑规划等各种应用中尤其有用。总之,多边形是几何学的重要组成部分,在现实世界的应用中具有重大意义。它们多样的形式和属性使其成为数学家、科学家和艺术家感兴趣的主题。无论我们是在设计建筑、创建视频游戏还是分析数据,理解多边形都丰富了我们对周围世界的理解。随着我们继续探索和应用多边形的原理,我们在理论和实践领域解锁了新的可能性。