heptahedron

简明释义

[/ˌhɛp.təˈhi.drən/][/ˌhɛp.təˈhi.drən/]

n. [数] 七面体

复 数 h e p t a h e d r a 或 h e p t a h e d r o n s

英英释义

A heptahedron is a three-dimensional geometric figure that has seven faces.

七面体是一个具有七个面的三维几何图形。

单词用法

同义词

heptagonal prism

七边形棱柱

The heptagonal prism can be constructed using seven rectangular faces.

七边形棱柱可以通过七个矩形面构造。

heptagon-based polyhedron

基于七边形的多面体

In geometry, a heptahedron is often referred to as a heptagon-based polyhedron.

在几何学中,heptahedron通常被称为基于七边形的多面体。

反义词

tetrahedron

四面体

The tetrahedron is the simplest polyhedron with four triangular faces.

四面体是最简单的多面体,具有四个三角形面。

octahedron

八面体

An octahedron has eight triangular faces and is a common shape in crystal structures.

八面体有八个三角形面,是晶体结构中的常见形状。

例句

1.In computer graphics, modeling a heptahedron can be challenging due to its unique shape.

在计算机图形学中,建模一个七面体可能会因为其独特的形状而具有挑战性。

2.The architect designed a modern building shaped like a heptahedron to stand out in the skyline.

这位建筑师设计了一座现代建筑,形状像一个七面体,以便在天际线上脱颖而出。

3.During the math competition, one of the questions involved calculating the volume of a heptahedron.

在数学竞赛中,其中一个问题涉及计算七面体的体积。

4.In geometry class, we learned about different polyhedra, including the heptahedron.

在几何课上,我们学习了不同的多面体,包括七面体

5.The artist created a sculpture that resembled a heptahedron using recycled materials.

这位艺术家用回收材料创作了一件类似于七面体的雕塑。

作文

In the fascinating world of geometry, shapes and figures play a crucial role in our understanding of space and form. One such intriguing shape is the heptahedron, which is defined as a three-dimensional geometric figure that has seven faces. The term comes from the Greek word 'hepta,' meaning seven, and 'hedron,' meaning face or surface. This makes the heptahedron a unique subject of study for mathematicians and enthusiasts alike.The heptahedron can take various forms, depending on how its faces are arranged. For instance, one of the most common types is the triangular heptahedron, which consists of seven triangular faces. This particular configuration allows for interesting properties and characteristics that can be explored through mathematical principles.Understanding the heptahedron requires a basic knowledge of polyhedra, which are solid figures with flat polygonal faces. Polyhedra can be classified based on the number of their faces, edges, and vertices. In this context, the heptahedron stands out as it offers a glimpse into the complexities of three-dimensional shapes. The study of such figures can enhance our spatial reasoning skills and deepen our appreciation for geometry.One of the key aspects of the heptahedron is its symmetry. Symmetry plays an essential role in mathematics, art, and nature. When we examine the heptahedron, we can identify various symmetrical properties that make it aesthetically pleasing and mathematically significant. For example, some heptahedra exhibit rotational symmetry, where the shape can be rotated around an axis and still appear unchanged. This characteristic can be observed in many natural forms, making the heptahedron a valuable model for studying symmetry in the real world.Moreover, the heptahedron has applications beyond pure mathematics. In architecture and design, understanding the properties of various geometric shapes, including the heptahedron, can lead to innovative structures and artistic creations. Architects often draw inspiration from geometric forms to create visually striking buildings and spaces. By incorporating elements of the heptahedron into their designs, they can achieve unique aesthetics while maintaining structural integrity.Furthermore, the heptahedron also finds relevance in computer graphics and modeling. In the digital realm, three-dimensional shapes are essential for creating realistic images and animations. The principles governing the heptahedron can be applied in algorithms that generate complex models, contributing to advancements in technology and visual media.In conclusion, the heptahedron is a captivating shape that embodies the beauty and complexity of geometry. Its seven faces offer a wealth of opportunities for exploration and understanding in both theoretical and practical contexts. Whether in mathematics, art, architecture, or technology, the heptahedron serves as a reminder of the intricate relationships between shapes and the world around us. By studying such figures, we not only enhance our knowledge of geometry but also develop a greater appreciation for the elegance of mathematical concepts. The heptahedron exemplifies how a simple geometric shape can have profound implications across various fields, encouraging us to look deeper into the world of shapes and their significance.

在几何学的迷人世界中,形状和图形在我们理解空间和形式方面发挥着至关重要的作用。其中一个引人入胜的形状是heptahedron,它被定义为一个具有七个面三维几何图形。这个术语来自希腊词“hepta”,意为七,以及“hedron”,意为面或表面。这使得heptahedron成为数学家和爱好者研究的独特主题。heptahedron可以根据其面如何排列而呈现出各种形式。例如,最常见的一种类型是三角形heptahedron,它由七个三角形面组成。这种特定的配置允许通过数学原理探索有趣的属性和特征。理解heptahedron需要对多面体有基本的了解,多面体是具有平面多边形面的固体图形。多面体可以根据其面、边和顶点的数量进行分类。在这种背景下,heptahedron脱颖而出,因为它提供了对三维形状复杂性的洞察。研究这样的图形可以增强我们的空间推理能力,并加深我们对几何学的欣赏。heptahedron的一个关键方面是其对称性。对称性在数学、艺术和自然中起着重要作用。当我们检查heptahedron时,可以识别出使其在美学上令人愉悦和在数学上重要的各种对称特性。例如,一些heptahedra表现出旋转对称性,即形状可以围绕一个轴旋转而仍然看起来没有变化。这一特征可以在许多自然形态中观察到,使heptahedron成为研究现实世界对称性的重要模型。此外,heptahedron在纯数学之外也有应用。在建筑和设计领域,理解各种几何形状的属性,包括heptahedron,可以导致创新的结构和艺术创作。建筑师经常从几何形式中获得灵感,以创造视觉上引人注目的建筑和空间。通过将heptahedron的元素融入他们的设计中,他们可以在保持结构完整性的同时实现独特的美学。此外,heptahedron在计算机图形和建模中也具有相关性。在数字领域,三维形状对于创建逼真的图像和动画至关重要。管理heptahedron的原则可以应用于生成复杂模型的算法,促进技术和视觉媒体的进步。总之,heptahedron是一个引人入胜的形状,体现了几何学的美丽和复杂性。它的七个面为理论和实践背景下的探索和理解提供了丰富的机会。无论是在数学、艺术、建筑还是技术领域,heptahedron都提醒我们形状与周围世界之间的复杂关系。通过研究这样的图形,我们不仅增强了对几何学的知识,还对数学概念的优雅有了更深的欣赏。heptahedron exemplifies how a simple geometric shape can have profound implications across various fields, encouraging us to look deeper into the world of shapes and their significance.