hendecahedron

简明释义

英[ˌhendekəˈhedrən]美[henˌdekəˈhidrən]

n. [数] 十一面体

复 数 h e n d e c a h e d r o n s 或 h e n d e c a h e d r a

英英释义

单词用法

同义词

反义词

例句

1.In geometry class, we learned how to calculate the volume of a hendecahedron.

在几何课上，我们学习了如何计算十一面体的体积。

2.The game included a special die shaped like a hendecahedron for unique gameplay.

这个游戏包含一个特殊的骰子，形状像一个十一面体，用于独特的游戏玩法。

3.The architect designed a stunning building shaped like a hendecahedron.

建筑师设计了一座形状像十一面体的惊艳建筑。

4.During the math competition, one of the problems involved identifying a hendecahedron.

在数学竞赛中，其中一个问题涉及识别一个十一面体。

5.The artist used a hendecahedron as inspiration for her latest sculpture.

这位艺术家以十一面体为灵感创作了她最新的雕塑。

作文

In the realm of geometry, there exists a fascinating shape known as the hendecahedron. This term refers to a polyhedron with eleven faces. The study of such geometric figures not only captivates mathematicians but also inspires artists and architects alike. Understanding the properties and characteristics of a hendecahedron can enhance our appreciation for both mathematics and the natural world.A hendecahedron is a relatively rare shape when compared to more common polyhedra like cubes or tetrahedrons. Its eleven faces can be various types of polygons, but in most cases, they are a combination of triangles and quadrilaterals. This diversity in face shape contributes to the complexity and beauty of the hendecahedron. For instance, one might encounter a hendecahedron that consists of eight triangular faces and three quadrilateral faces, creating an intriguing visual form.The mathematical properties of a hendecahedron are equally interesting. Like all polyhedra, it has vertices and edges that can be calculated using Euler's formula, which states that V - E + F = 2, where V represents the number of vertices, E the number of edges, and F the number of faces. For a hendecahedron, this formula helps us understand the relationship between its structural components. As we delve deeper into the calculations, we find that a typical hendecahedron has 11 faces, 20 edges, and 10 vertices, showcasing the intricate balance of geometry.The significance of the hendecahedron extends beyond theoretical mathematics. In art and architecture, the principles of geometry, including those illustrated by the hendecahedron, are applied to create visually stunning works. Artists often draw inspiration from geometric forms, using them to convey harmony and balance in their creations. Similarly, architects utilize geometric shapes like the hendecahedron to design buildings that are not only functional but also aesthetically pleasing. The interplay of light and shadow on the surfaces of a hendecahedron can create dynamic visual effects, further enhancing its appeal.Moreover, the hendecahedron serves as a reminder of the interconnectedness of mathematics and nature. Many natural forms, such as crystals and certain biological structures, exhibit geometric properties that can be described using polyhedra. By studying shapes like the hendecahedron, we gain insights into the underlying patterns that govern the natural world. This connection fosters a deeper understanding of both disciplines, encouraging interdisciplinary exploration and creativity.In conclusion, the hendecahedron is a remarkable geometric figure that embodies the beauty and complexity of mathematics. Its unique structure and properties offer valuable lessons in both theoretical and applied contexts. Whether in the hands of a mathematician, artist, or architect, the hendecahedron continues to inspire and challenge our perceptions of space and form. As we explore the vast landscape of geometry, let us not overlook the elegance of shapes like the hendecahedron, which remind us of the infinite possibilities that lie within the world of mathematics and art.

在几何学的领域中，存在一种迷人的形状，被称为hendecahedron。这个术语指的是一个具有十一面体的多面体。这种几何图形的研究不仅吸引了数学家，也激励了艺术家和建筑师。理解hendecahedron的性质和特征可以增强我们对数学和自然世界的欣赏。与更常见的多面体如立方体或四面体相比，hendecahedron是一种相对罕见的形状。它的十一面可以是各种类型的多边形，但在大多数情况下，它们是三角形和四边形的组合。这种面形状的多样性为hendecahedron的复杂性和美感增添了色彩。例如，我们可能会遇到一个由八个三角形面和三个四边形面组成的hendecahedron，形成了一种引人入胜的视觉形式。hendecahedron的数学性质同样有趣。像所有多面体一样，它具有可以使用欧拉公式计算的顶点和边数，该公式指出V - E + F = 2，其中V代表顶点数，E代表边数，F代表面数。对于一个hendecahedron，这个公式帮助我们理解其结构组件之间的关系。当我们深入到计算中时，我们发现一个典型的hendecahedron具有11个面、20条边和10个顶点，展示了几何的微妙平衡。hendecahedron的重要性超越了理论数学。在艺术和建筑中，几何学的原理，包括hendecahedron所展示的原理，被应用于创造视觉上令人惊叹的作品。艺术家们经常从几何形式中汲取灵感，利用它们在创作中传达和谐与平衡。同样，建筑师利用像hendecahedron这样的几何形状来设计既功能性又美观的建筑。光和阴影在hendecahedron表面上的相互作用可以创造出动态的视觉效果，进一步增强其吸引力。此外，hendecahedron提醒我们数学和自然之间的相互联系。许多自然形式，如晶体和某些生物结构，展现了可以用多面体描述的几何特性。通过研究像hendecahedron这样的形状，我们获得了对支配自然世界的基本模式的洞察。这种联系促进了对两个学科的更深理解，鼓励跨学科的探索和创造力。总之，hendecahedron是一个显著的几何图形，体现了数学的美丽和复杂性。它独特的结构和属性在理论和应用领域提供了宝贵的教训。无论是在数学家、艺术家还是建筑师手中，hendecahedron继续激励和挑战我们对空间和形式的认知。当我们探索几何学的广阔领域时，让我们不要忽视像hendecahedron这样的形状的优雅，这提醒我们数学和艺术世界中无限的可能性。