truncated paraboloid

简明释义

截顶抛物面

英英释义

例句

1.The design of the park's fountain features a truncated paraboloid that enhances water flow.

公园喷泉的设计采用了截头抛物面，增强了水流效果。

2.Engineers used a truncated paraboloid shape to optimize the satellite dish's performance.

工程师们使用截头抛物面形状来优化卫星天线的性能。

3.In architecture, a truncated paraboloid can create stunning visual effects in large auditoriums.

在建筑中，截头抛物面可以在大型礼堂中创造惊人的视觉效果。

4.The roof of the modern museum was designed as a truncated paraboloid, allowing for ample natural light to enter.

现代博物馆的屋顶设计为截头抛物面，使得充足的自然光能够进入。

5.A truncated paraboloid structure is often used in the design of reflectors for telescopes.

在望远镜反射器的设计中，通常会使用截头抛物面结构。

作文

The concept of a truncated paraboloid is fascinating and holds significant importance in various fields of science and engineering. A truncated paraboloid is a three-dimensional geometric shape that is derived from the paraboloid by cutting off its top portion. This shape is commonly seen in architectural designs, particularly in modern buildings, where it can be used to create unique and aesthetically pleasing structures. In mathematics, a paraboloid is defined as a surface that can be described by a quadratic equation in three-dimensional space. When we truncate this shape, we essentially remove the upper section, resulting in a surface that has a flat top and a curved base. This unique geometry allows for interesting applications in various domains, including optics, architecture, and even astrophysics.One of the most notable uses of the truncated paraboloid is in the design of satellite dishes. The shape is ideal for focusing signals because it can direct incoming waves towards a single focal point. This property is due to the reflective nature of the paraboloid, which remains effective even when truncated. As a result, many modern communication systems utilize truncated paraboloids to enhance signal reception and transmission.In architecture, the truncated paraboloid offers both functional and aesthetic advantages. Buildings designed with this shape can provide ample natural light while also maintaining structural integrity. The curves of the truncated paraboloid can create visually striking facades that attract attention and enhance the overall appearance of a structure. Additionally, the shape can help in distributing weight more evenly, making it an excellent choice for large roofs or canopies.Moreover, the truncated paraboloid has applications in the field of physics, particularly in the study of gravitational fields and potential energy. The unique properties of this shape allow scientists to model various physical phenomena more accurately. For instance, researchers can use the geometry of the truncated paraboloid to simulate the behavior of particles under different gravitational conditions, leading to a deeper understanding of the universe.In conclusion, the truncated paraboloid is more than just a geometric figure; it represents a convergence of art and science. Its versatility in applications ranging from telecommunications to architecture highlights the importance of understanding such shapes in our daily lives. As technology continues to advance, the relevance of the truncated paraboloid will likely grow, inspiring new innovations and creative designs. By studying and applying the principles behind this shape, we can unlock new possibilities in both practical applications and theoretical explorations.

截断抛物面（truncated paraboloid）的概念令人着迷，并在科学和工程的各个领域具有重要意义。截断抛物面是通过切去其顶部部分而得出的三维几何形状。这种形状在建筑设计中很常见，特别是在现代建筑中，可以用来创造独特且美观的结构。在数学中，抛物面被定义为可以通过三维空间中的二次方程描述的表面。当我们截断这个形状时，实际上是去掉了上部，从而形成一个顶部平坦、底部弯曲的表面。这种独特的几何形状在光学、建筑甚至天体物理学等多个领域都有有趣的应用。截断抛物面最显著的用途之一是在卫星天线的设计中。这种形状非常适合于聚焦信号，因为它可以将传入的波直接指向一个焦点。这一特性源于抛物面的反射特性，即使经过截断也依然有效。因此，许多现代通信系统利用截断抛物面来增强信号接收和传输。在建筑学中，截断抛物面提供了功能和美学上的优势。设计成这种形状的建筑可以提供充足的自然光，同时保持结构的完整性。截断抛物面的曲线可以创造出视觉上引人注目的外立面，吸引注意力并提升结构的整体外观。此外，这种形状还可以帮助更均匀地分配重量，使其成为大型屋顶或雨篷的绝佳选择。此外，截断抛物面在物理学领域也有应用，特别是在研究重力场和势能方面。这种形状的独特性质使科学家能够更准确地模拟各种物理现象。例如，研究人员可以利用截断抛物面的几何形状来模拟粒子在不同重力条件下的行为，从而加深对宇宙的理解。总之，截断抛物面不仅仅是一个几何图形；它代表了艺术与科学的交汇。它在电信、建筑等领域的多样化应用突显了理解这些形状在我们日常生活中的重要性。随着科技的不断进步，截断抛物面的相关性可能会不断增长，激发新的创新和创意设计。通过研究和应用这一形状背后的原理，我们可以在实际应用和理论探索中解锁新的可能性。