hyperbolic paraboloid

简明释义

双曲抛物面

英英释义

例句

1.The designer chose a hyperbolic paraboloid 双曲抛物面 form for the pavilion to create a unique visual effect.

设计师选择了一个hyperbolic paraboloid 双曲抛物面形式的亭子，以创造独特的视觉效果。

2.In architecture, the hyperbolic paraboloid 双曲抛物面 structure is often used for its aesthetic appeal and structural efficiency.

在建筑中，hyperbolic paraboloid 双曲抛物面结构因其美学吸引力和结构效率而被广泛使用。

3.Engineers are using a hyperbolic paraboloid 双曲抛物面 shape in the bridge design to enhance stability and reduce material usage.

工程师们在桥梁设计中使用hyperbolic paraboloid 双曲抛物面形状，以增强稳定性并减少材料使用。

4.The roof design of the stadium features a stunning hyperbolic paraboloid 双曲抛物面 shape that allows for optimal light entry.

这个体育场的屋顶设计采用了令人惊叹的hyperbolic paraboloid 双曲抛物面形状，能够最大程度地引入光线。

5.The hyperbolic paraboloid 双曲抛物面 can be seen in many modern sculptures, showcasing its versatility in art.

许多现代雕塑中都可以看到hyperbolic paraboloid 双曲抛物面，展示了它在艺术中的多样性。

作文

The concept of a hyperbolic paraboloid is fascinating and often encountered in various fields, including architecture and mathematics. A hyperbolic paraboloid is a doubly ruled surface that can be described as a saddle-shaped structure. This unique geometric form can be represented mathematically by the equation z = (x^2/a^2) - (y^2/b^2), where a and b are constants that determine the curvature of the surface. The hyperbolic paraboloid is known for its distinctive properties, such as having two principal curvatures at each point, one positive and one negative, which gives it the saddle shape.In architecture, the hyperbolic paraboloid has been embraced for its aesthetic appeal and structural efficiency. Many modern buildings utilize this shape to create dynamic forms that are visually striking while also being functional. For instance, the famous St. Louis Arch is an example of a structure that incorporates elements of a hyperbolic paraboloid. The use of this shape allows architects to design roofs and other elements that can span large distances without the need for extensive support structures, thus minimizing material usage and costs.Moreover, the hyperbolic paraboloid can be seen in everyday objects around us, such as in the design of certain types of bridges and canopies. Its unique characteristics allow for the distribution of loads in a way that enhances stability and durability. Engineers often take advantage of these properties when designing structures that must withstand various forces, such as wind or seismic activity.In mathematics, understanding the properties of a hyperbolic paraboloid can lead to deeper insights into differential geometry and topology. The study of such surfaces helps mathematicians explore concepts related to curvature and surface behavior. The hyperbolic paraboloid serves as an excellent example of how different mathematical principles can converge in a single shape, showcasing the beauty of mathematics in visual form.Overall, the hyperbolic paraboloid is more than just a geometric figure; it represents a bridge between art, science, and engineering. Its applications in architecture demonstrate how mathematical concepts can be translated into real-world designs that are both functional and aesthetically pleasing. As we continue to explore the possibilities of this unique shape, we may discover even more innovative uses that blend creativity with structural integrity. In conclusion, the hyperbolic paraboloid stands as a testament to the interconnectedness of various disciplines and the endless potential for innovation that lies within the study of geometry and design.

“双曲抛物面”的概念令人着迷，常在建筑学和数学等多个领域中遇到。双曲抛物面是一种双重规则曲面，可以描述为马鞍形结构。这个独特的几何形状可以用方程z = (x^2/a^2) - (y^2/b^2)来表示，其中a和b是决定表面曲率的常数。双曲抛物面以其独特的性质而闻名，例如在每个点上具有两个主曲率，一个为正，一个为负，这使其呈现出马鞍形。在建筑学中，双曲抛物面因其美学吸引力和结构效率而受到青睐。许多现代建筑利用这一形状创造出动态的形式，既视觉上引人注目，又功能上可行。例如，著名的圣路易斯拱门就是一个结合了双曲抛物面元素的结构实例。使用这种形状使建筑师能够设计出可以跨越大距离而无需大量支撑结构的屋顶及其他元素，从而最小化材料使用和成本。此外，双曲抛物面还可以在我们周围的日常物品中看到，例如某些类型的桥梁和天篷的设计。其独特的特性允许以增强稳定性和耐久性的方式分配负载。工程师在设计必须承受各种力量（例如风或地震活动）的结构时，通常利用这些特性。在数学中，理解双曲抛物面的性质可以深入了解微分几何和拓扑学。对这些曲面的研究帮助数学家探索与曲率和表面行为相关的概念。双曲抛物面作为一个优秀的示例，展示了不同数学原理如何在一个形状中汇聚，彰显了数学以视觉形式展现的美。总之，双曲抛物面不仅仅是一个几何图形；它代表了艺术、科学和工程之间的桥梁。它在建筑中的应用展示了数学概念如何转化为既实用又美观的现实设计。当我们继续探索这一独特形状的可能性时，我们可能会发现更多结合创造力与结构完整性的创新用途。最后，双曲抛物面证明了各个学科之间的相互关联，以及在几何和设计研究中蕴藏的无限创新潜力。