holohedron

简明释义

英[ˌhɒləˈhiːdrən]美[ˌholəˈhidrən]

n. [晶体] 全面体

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

英英释义

单词用法

同义词

反义词

例句

1.The architect designed a stunning building with a unique shape resembling a holohedron.

建筑师设计了一座令人惊叹的建筑，其独特的形状类似于一个全息体。

2.In computer graphics, a holohedron can be used to create complex 3D models.

在计算机图形学中，全息体可用于创建复杂的3D模型。

3.The artist's latest installation features a rotating holohedron that interacts with light.

艺术家的最新装置展示了一个旋转的全息体，与光线互动。

4.Scientists are exploring the properties of a new type of holohedron for use in quantum computing.

科学家们正在探索一种新型全息体的特性，以用于量子计算。

5.During the lecture, the professor explained how a holohedron can represent multiple dimensions.

在讲座中，教授解释了如何用全息体表示多个维度。

作文

In the fascinating world of geometry, the term holohedron refers to a three-dimensional shape that is defined by having a certain number of faces, edges, and vertices. The concept of a holohedron can be intriguing, particularly when we consider its applications in various fields such as architecture, art, and even nature. Understanding what a holohedron is can enhance our appreciation for the geometric forms that surround us every day. To begin with, let’s break down the term holohedron. The prefix 'holo-' comes from the Greek word 'holos', meaning whole or entire. This implies that a holohedron is a complete geometric figure in three-dimensional space. It is important to note that all holohedra are polyhedra, which means they are made up of flat polygonal faces. The simplest example of a holohedron is a cube, which has six square faces, twelve edges, and eight vertices. However, holohedra can take on many different forms. There are regular holohedra, known as the Platonic solids, which include the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. These shapes are special because their faces are all congruent regular polygons, and they have identical vertices. Studying these shapes can provide insights into symmetry, balance, and structure, which are vital concepts in both mathematics and the arts. The significance of holohedra extends beyond theoretical mathematics. In architecture, understanding the properties of holohedra can lead to innovative designs that are not only aesthetically pleasing but also structurally sound. For instance, the geodesic dome, which is based on the principles of holohedron construction, has been used in various buildings around the world due to its strength and efficiency. In nature, we can observe holohedra in the form of crystals. Many minerals crystallize in geometric shapes that can be classified as holohedra. For example, quartz crystals often form hexagonal prisms, showcasing the beauty of geometric perfection found in nature. This connection between holohedra and the natural world highlights the importance of geometry in understanding the universe. Furthermore, in the realm of art, artists have long been inspired by geometric forms. The use of holohedra in sculpture and design can create visually captivating pieces that challenge our perception of space. Artists like M.C. Escher have famously played with the idea of holohedra to create intricate and mind-bending artworks that explore infinity and perspective. In conclusion, the term holohedron encapsulates a rich and diverse field of study that bridges mathematics, architecture, nature, and art. By exploring the various forms and applications of holohedra, we gain a deeper appreciation for the geometric principles that govern our world. Whether through the construction of buildings, the formation of natural crystals, or the creation of stunning works of art, holohedra serve as a reminder of the beauty and complexity inherent in the shapes that surround us. Embracing the concept of holohedron not only enhances our understanding of geometry but also enriches our experience of the world itself.

在几何学的迷人世界中，术语holohedron指的是一种三维形状，它由一定数量的面、边和顶点定义。理解holohedron的概念尤其引人入胜，特别是当我们考虑它在建筑、艺术甚至自然等各个领域的应用时。了解holohedron是什么，可以增强我们对日常生活中几何形状的欣赏。 首先，让我们拆解一下这个术语holohedron。前缀'holo-'源自希腊词'holos'，意思是完整或整个。这意味着holohedron是在三维空间中的一个完整几何图形。重要的是要注意，所有的holohedra都是多面体，这意味着它们由平面多边形面组成。holohedron最简单的例子是立方体，它有六个正方形面、十二条边和八个顶点。 然而，holohedra可以采取许多不同的形式。有规则的holohedra，被称为柏拉图立体，包括四面体、立方体、八面体、十二面体和二十面体。这些形状是特别的，因为它们的面都是全等的正多边形，并且它们的顶点是相同的。研究这些形状可以提供对对称性、平衡和结构的深入理解，这些都是数学和艺术中的重要概念。 holohedra的重要性超越了理论数学。在建筑中，理解holohedra的性质可以导致创新的设计，这些设计不仅美观而且结构稳固。例如，基于holohedron构造原理的穹顶，由于其强度和效率，已在世界各地的各种建筑中得到应用。 在自然界中，我们可以观察到以晶体的形式存在的holohedra。许多矿物以几何形状结晶，可以归类为holohedra。例如，石英晶体通常形成六角柱，展示了自然界中几何完美的美丽。这种holohedra与自然世界之间的联系突显了几何学在理解宇宙中的重要性。 此外，在艺术领域，艺术家们长期以来一直受到几何形状的启发。使用holohedra进行雕塑和设计可以创造出视觉上引人注目的作品，挑战我们对空间的感知。像M.C.埃舍尔这样的艺术家就曾利用holohedra的理念创作出复杂而令人费解的艺术作品，探索无限和透视。 总之，术语holohedron囊括了一个丰富多样的研究领域，连接了数学、建筑、自然和艺术。通过探索holohedra的各种形式和应用，我们对支配我们世界的几何原理有了更深刻的理解。无论是通过建筑的构造、自然晶体的形成，还是令人惊叹的艺术作品的创作，holohedra都提醒我们周围形状的美丽和复杂性。接受holohedron的概念不仅增强了我们对几何的理解，还丰富了我们对世界的体验。