正多面體的意思、翻譯和例句

是什麼意思

「正多面體」是指所有面都是相同的正多邊形,並且在每個頂點的連接方式相同的三維幾何形狀。這些形狀具有高度的對稱性,並且在數學和幾何學中具有重要的意義。常見的正多面體包括:正四面體、正立方體、正八面體、正十二面體和正二十面體。正多面體的特性使它們在科學、藝術和建築中都具有應用價值。

依照不同程度的英文解釋

  1. A solid shape with flat faces that are all the same.
  2. A 3D shape made of equal flat surfaces.
  3. A three-dimensional figure with identical polygonal faces.
  4. A geometrical figure where all faces are the same shape and size.
  5. A regular polyhedron with congruent faces and symmetrical properties.
  6. A convex polyhedron where each face is a regular polygon and the same type.
  7. A highly symmetrical three-dimensional shape with identical polygonal faces meeting at each vertex.
  8. A three-dimensional geometric figure characterized by congruent polygonal faces and uniform vertex arrangement.
  9. A class of polyhedra that are both convex and exhibit identical symmetrical properties across all faces.
  10. A three-dimensional solid where all faces are congruent regular polygons, exhibiting uniform vertex connectivity.

相關英文單字或片語的差別與用法

1:Regular Polyhedron

用法:

指所有面都是相同的正多邊形,並且每個頂點的結構相同。這個詞通常用於數學和幾何學中,特別是在討論對稱性和形狀特性時。正多面體是一種特殊的正多邊形,並且在數學上有著重要的地位。

例句及翻譯:

例句 1:

正多面體是數學中最具對稱性的形狀之一。

Regular polyhedra are among the most symmetrical shapes in mathematics.

例句 2:

學習正多面體的性質可以幫助理解更複雜的幾何概念。

Studying the properties of regular polyhedra can help understand more complex geometric concepts.

例句 3:

正多面體的例子包括立方體和正四面體。

Examples of regular polyhedra include the cube and the tetrahedron.

2:Platonic Solid

用法:

這是一種特殊的正多面體,指的是所有面都是相同的正多邊形,且每個頂點的結構完全相同。這個術語源於古希臘哲學家柏拉圖,因為他認為這些形狀是宇宙的基本結構。

例句及翻譯:

例句 1:

柏拉圖將正多面體視為宇宙的基本元素。

Plato regarded the Platonic solids as the fundamental elements of the universe.

例句 2:

在數學中,正多面體有五種基本形式,稱為柏拉圖立體。

In mathematics, there are five basic forms of Platonic solids.

例句 3:

學習柏拉圖立體的性質對於理解幾何學非常重要。

Understanding the properties of Platonic solids is crucial for grasping geometry.