rotational symmetry

简明释义

轴对称

英英释义

例句

1.The logo has rotational symmetry, making it easily recognizable when rotated.

这个标志具有旋转对称性，使其在旋转时容易被识别。

2.In art, rotational symmetry can create visually appealing patterns that draw the viewer's attention.

在艺术中，旋转对称性可以创造出吸引观众注意的视觉图案。

3.The design of the flower exhibits rotational symmetry, which means it looks the same after a certain degree of rotation.

花的设计展现了旋转对称性，这意味着它在一定角度旋转后看起来是一样的。

4.Many snowflakes have rotational symmetry, allowing them to be beautiful from any angle.

许多雪花具有旋转对称性，使它们从任何角度看都很美丽。

5.Geometric shapes like circles and stars often display rotational symmetry in their designs.

几何形状如圆形和星形通常在其设计中显示出旋转对称性。

作文

In the world of mathematics and art, the concept of rotational symmetry plays a significant role in understanding shapes and patterns. Rotational symmetry refers to a characteristic of a shape that looks the same after a certain amount of rotation. For instance, if you take a square and rotate it by 90 degrees, it remains unchanged. This fascinating property is not only applicable in geometry but also extends to nature and various forms of art.To illustrate the idea of rotational symmetry, consider a starfish. When you rotate a starfish around its center, it appears identical at several different angles. Specifically, a typical starfish has five arms, and if you rotate it by 72 degrees (360 degrees divided by 5), it will look the same. This example emphasizes how rotational symmetry can be found in living organisms, showcasing the beauty of symmetry in nature.In architecture, rotational symmetry is often utilized to create visually appealing structures. The famous Taj Mahal in India is an excellent example of this. The building exhibits rotational symmetry as its design allows it to be rotated around its central axis without altering its appearance. This aspect not only enhances the aesthetic appeal but also signifies harmony and balance, which are essential elements in architectural design.Art also heavily relies on rotational symmetry. Artists like M.C. Escher have famously incorporated this concept into their works. Escher’s prints often feature intricate patterns that exhibit rotational symmetry, captivating viewers with their mesmerizing designs. These artworks challenge our perception of space and symmetry, inviting us to explore the mathematical underpinnings of what we see.Moreover, rotational symmetry is prevalent in everyday objects. Consider the wheels of a bicycle; they are circular and maintain their shape regardless of the angle at which they are viewed. This practical application of rotational symmetry ensures functionality and efficiency, demonstrating how mathematics intersects with daily life.Understanding rotational symmetry is crucial for students studying geometry. It helps them recognize and categorize shapes based on their properties. By exploring various geometric figures, students can develop a deeper appreciation for the mathematical principles that govern the world around them. Activities such as creating symmetrical designs or identifying rotational symmetry in real-life objects can make learning more engaging and enjoyable.In conclusion, rotational symmetry is a fundamental concept that transcends mathematics, influencing art, nature, and architecture. Its presence in various forms enriches our understanding of the world and highlights the interconnectedness of different disciplines. Whether observing the symmetry in a flower, appreciating the elegance of a building, or admiring a piece of art, we can find joy in recognizing the beauty of rotational symmetry all around us. As we continue to explore and learn about this concept, we deepen our appreciation for the intricate patterns that shape our universe.

旋转对称是数学和艺术领域中的一个重要概念，它在理解形状和图案方面起着重要作用。旋转对称指的是一种形状在经过一定角度的旋转后看起来依然相同的特性。例如，如果你将一个正方形旋转90度，它的外观保持不变。这一迷人的性质不仅适用于几何学，还扩展到自然界和各种艺术形式中。为了说明旋转对称的概念，可以考虑海星。当你围绕其中心旋转海星时，它在多个不同的角度下看起来都是一样的。具体来说，典型的海星有五个臂，如果你将它旋转72度（360度除以5），它的外观将保持不变。这个例子强调了旋转对称在生物体中的存在，展示了自然界中对称之美。在建筑学中，旋转对称常常被用来创造视觉上令人愉悦的结构。印度的泰姬陵就是一个很好的例子。该建筑展示了旋转对称，因为它的设计允许它围绕中心轴旋转而不改变外观。这一特性不仅增强了美学吸引力，还象征着和谐与平衡，这些都是建筑设计中的基本元素。艺术也大量依赖于旋转对称。像M.C.埃舍尔这样的艺术家就著名地将这一概念融入他们的作品中。埃舍尔的版画常常展现出复杂的图案，表现出旋转对称，以迷人的设计吸引观众。这些艺术作品挑战了我们对空间和对称的认知，邀请我们探索我们所见事物的数学基础。此外，旋转对称在日常物品中也很常见。考虑一下自行车的轮子；它们是圆形的，无论从哪个角度看都保持形状。这种对旋转对称的实际应用确保了功能性和效率，展示了数学与日常生活的交汇。理解旋转对称对于学习几何的学生至关重要。它帮助他们根据属性识别和分类形状。通过探索各种几何图形，学生可以对支配周围世界的数学原理产生更深刻的理解。进行创建对称设计或识别现实生活中旋转对称的活动可以使学习变得更加有趣和愉快。总之，旋转对称是一个基本概念，超越了数学，影响了艺术、自然和建筑。它在各种形式中的存在丰富了我们对世界的理解，并突显了不同学科之间的相互联系。无论是在观察花朵的对称性、欣赏建筑的优雅，还是欣赏一件艺术作品，我们都可以发现欣赏旋转对称之美的乐趣。随着我们继续探索和学习这一概念，我们加深了对塑造我们宇宙的复杂图案的欣赏。