axial dihedron

简明释义

轴双面;

英英释义

例句

1.When modeling the molecular structure, chemists often refer to the axial dihedron for accurate representations.

在建模分子结构时，化学家通常会参考轴面二面角以获得准确的表示。

2.The architect used the concept of the axial dihedron to design a building that maximizes natural light.

建筑师利用轴面二面角的概念设计了一座最大化自然光的建筑。

3.The geometry of the crystal can be simplified by analyzing its axial dihedron, which refers to the symmetrical properties around its axis.

通过分析其轴面二面角，可以简化晶体的几何形状，这指的是围绕其轴的对称特性。

4.In our study of polyhedra, we must consider the axial dihedron to understand how it affects the overall structure.

在我们的多面体研究中，我们必须考虑轴面二面角，以理解它如何影响整体结构。

5.The axial dihedron plays a crucial role in understanding the symmetry of various geometric forms.

轴面二面角在理解各种几何形状的对称性方面起着至关重要的作用。

作文

In the field of geometry, various shapes and structures play a crucial role in understanding spatial relationships and properties. One such fascinating concept is the axial dihedron, which refers to a three-dimensional geometric figure formed by two identical planes intersecting along a common axis. The study of this shape not only enhances our comprehension of geometric principles but also finds applications in various scientific and engineering fields.To better grasp the significance of the axial dihedron, we must first explore its characteristics. An axial dihedron consists of two flat surfaces that are mirror images of each other, positioned symmetrically around an axis. This axis serves as a line of reflection, dividing the dihedron into two congruent halves. The angles formed between these planes can vary, leading to different types of dihedra based on their angular relationships.The axial dihedron can be visualized in several practical applications. For instance, in architecture, the design of certain roof structures often resembles a dihedral angle, where two planes meet at an edge. Understanding the properties of the axial dihedron allows architects to calculate load distributions and optimize structural integrity. Similarly, in the field of molecular chemistry, many molecules exhibit dihedral angles that influence their stability and reactivity. By studying these angles, chemists can predict the behavior of substances in various reactions.Moreover, the axial dihedron also finds relevance in robotics and mechanical engineering. When designing robotic arms or joints, engineers often utilize the principles of dihedra to create movements that mimic human articulation. The flexibility and range of motion provided by the axial dihedron contribute to the development of more efficient and adaptable robotic systems.In mathematics, the exploration of axial dihedra extends into higher dimensions, where mathematicians analyze the properties of polyhedra and their dihedral angles. This research contributes to a broader understanding of topology and spatial reasoning, essential skills in various scientific disciplines. The ability to visualize and manipulate these geometric forms is fundamental for students and professionals alike.In conclusion, the axial dihedron represents a significant geometric concept with far-reaching implications across multiple fields. Its unique structure and properties facilitate advancements in architecture, chemistry, robotics, and mathematics. By deepening our understanding of the axial dihedron, we unlock new possibilities for innovation and problem-solving in our increasingly complex world. As we continue to explore the intricacies of geometry, the axial dihedron serves as a reminder of the beauty and utility of mathematical principles in our everyday lives.

在几何学领域，各种形状和结构在理解空间关系和特性方面发挥着至关重要的作用。其中一个引人入胜的概念是轴二面体，它指的是由两个沿公共轴相交的相同平面形成的三维几何图形。对这一形状的研究不仅增强了我们对几何原理的理解，还在各种科学和工程领域找到了应用。要更好地理解轴二面体的重要性，我们首先必须探讨它的特征。轴二面体由两个彼此对称的平面组成，围绕一个轴对称放置。这个轴作为反射线，将二面体分为两个全等的半部分。这些平面之间形成的角度可以变化，导致根据它们的角度关系产生不同类型的二面体。轴二面体可以在多个实际应用中可视化。例如，在建筑学中，某些屋顶结构的设计往往类似于二面角，其中两个平面在一个边缘相遇。理解轴二面体的特性使建筑师能够计算负载分布并优化结构完整性。同样，在分子化学领域，许多分子呈现出影响其稳定性和反应性的二面角。通过研究这些角度，化学家可以预测物质在各种反应中的行为。此外，轴二面体在机器人技术和机械工程中也具有相关性。在设计机器人手臂或关节时，工程师经常利用二面体的原理来创建模仿人类关节运动的动作。轴二面体所提供的灵活性和运动范围有助于开发更高效和适应性强的机器人系统。在数学中，轴二面体的探索扩展到更高维度，数学家分析多面体及其二面角的性质。这项研究有助于更广泛地理解拓扑学和空间推理，这是各种科学学科中必不可少的技能。能够可视化和操作这些几何形状对学生和专业人士都至关重要。总之，轴二面体代表了一个重要的几何概念，在多个领域具有深远的影响。其独特的结构和特性促进了建筑、化学、机器人和数学的进步。通过加深对轴二面体的理解，我们为在日益复杂的世界中创新和解决问题打开了新的可能性。当我们继续探索几何学的复杂性时，轴二面体提醒我们数学原理在日常生活中的美丽和实用性。