auxiliary plane of symmetry

简明释义

副对称面;

英英释义

例句

1.In designing the new aircraft, engineers utilized an auxiliary plane of symmetry to ensure balance during flight.

在设计新飞机时，工程师利用了一个辅助对称面来确保飞行平衡。

2.During the modeling process, the artist created an auxiliary plane of symmetry to achieve a harmonious composition.

在建模过程中，艺术家创建了一个辅助对称面以达到和谐的构图。

3.The architect proposed an auxiliary plane of symmetry for the building's facade to enhance its aesthetic appeal.

建筑师建议为建筑外立面增加一个辅助对称面以增强其美观性。

4.In computer graphics, an auxiliary plane of symmetry can simplify the rendering process by reducing calculations.

在计算机图形学中，辅助对称面可以通过减少计算来简化渲染过程。

5.The use of an auxiliary plane of symmetry in this sculpture allows for a more dynamic visual effect.

在这座雕塑中使用辅助对称面可以产生更具动态的视觉效果。

作文

In the field of geometry and design, symmetry plays a crucial role in defining the aesthetics and functionality of various structures and objects. One important concept that emerges in this context is the auxiliary plane of symmetry. This term refers to an additional plane that can be introduced to help analyze or construct symmetrical properties in a figure or object. Understanding the auxiliary plane of symmetry is essential for architects, engineers, and designers as it allows them to create balanced and harmonious designs.To illustrate the significance of the auxiliary plane of symmetry, let us consider a simple example of a butterfly. When we look at a butterfly, we often notice that its wings are mirror images of each other. The main plane of symmetry in this case runs vertically down the center of the butterfly's body. However, if we were to introduce an auxiliary plane of symmetry, we could explore how the wings might appear if they were rotated or reflected in different ways. This additional plane helps us understand the variations and possibilities in the butterfly's design while maintaining its overall symmetrical nature.In architectural design, the use of an auxiliary plane of symmetry can greatly enhance the visual appeal of a building. For instance, when designing a façade, architects may establish a primary plane of symmetry along the vertical axis. By incorporating an auxiliary plane of symmetry, they can experiment with different elements such as windows, balconies, and decorative features on either side of the main axis. This approach not only ensures that the building remains aesthetically pleasing but also allows for functional considerations, such as natural light and ventilation.Moreover, the concept of the auxiliary plane of symmetry extends beyond mere aesthetics. In engineering, particularly in the design of mechanical components, understanding symmetry can lead to more efficient and effective designs. For instance, when creating a machine part, engineers often analyze the part's symmetry to ensure that it can withstand forces evenly distributed across its structure. By utilizing an auxiliary plane of symmetry, they can identify potential weaknesses or areas for improvement that might not be apparent when only considering the primary plane.In conclusion, the auxiliary plane of symmetry is a vital concept that enhances our understanding of symmetry in various fields, from biology to architecture and engineering. By recognizing and applying this idea, professionals can create designs that are not only visually appealing but also structurally sound and efficient. As we continue to explore the interplay of symmetry in our world, the auxiliary plane of symmetry will remain an essential tool in our creative and analytical processes.

在几何和设计领域，对称性在定义各种结构和物体的美学和功能性方面起着至关重要的作用。在这种背景下，一个重要的概念是辅助对称面。这个术语指的是可以引入的额外平面，以帮助分析或构造图形或物体的对称属性。理解辅助对称面对建筑师、工程师和设计师来说至关重要，因为它使他们能够创造出平衡和和谐的设计。为了说明辅助对称面的重要性，让我们考虑一个简单的例子——蝴蝶。当我们观察一只蝴蝶时，通常会注意到它的翅膀是彼此的镜像。在这种情况下，主要的对称面沿着蝴蝶身体的中心垂直延伸。然而，如果我们引入一个辅助对称面，我们可以探索翅膀在不同方式下旋转或反射时的样子。这个额外的平面帮助我们理解蝴蝶设计中的变化和可能性，同时保持其整体的对称特性。在建筑设计中，使用辅助对称面可以大大增强建筑物的视觉吸引力。例如，在设计外立面时，建筑师可能在垂直轴上建立一个主要的对称面。通过结合一个辅助对称面，他们可以在主轴的两侧实验不同的元素，如窗户、阳台和装饰特征。这种方法不仅确保了建筑物的美观，还考虑了功能性，例如自然光和通风。此外，辅助对称面的概念超越了单纯的美学。在工程领域，特别是在机械部件的设计中，理解对称性可以导致更高效和有效的设计。例如，在创建机器部件时，工程师通常会分析部件的对称性，以确保其能够均匀承受施加在结构上的力量。通过利用辅助对称面，他们可以识别潜在的弱点或改进区域，这些区域在仅考虑主要平面时可能并不明显。总之，辅助对称面是一个重要的概念，它增强了我们对各个领域对称性的理解，从生物学到建筑和工程。通过认识和应用这一理念，专业人士可以创造出不仅在视觉上令人愉悦，而且在结构上坚固和高效的设计。随着我们继续探索对称性在我们世界中的相互作用，辅助对称面将始终是我们创造性和分析性过程中的一个重要工具。