V2EX pentagonal prism

Pentagonal Prism

Definition / 释义

pentagonal prism五棱柱;一种三维几何体,上下两个底面是五边形且互相平行、全等,侧面通常为矩形(若为直棱柱)。

Pronunciation / 发音

/pntnl przm/

Examples / 例句

A pentagonal prism has two pentagonal bases.
五棱柱有两个五边形的底面。

In the model, the pentagonal prism is connected to a cube to form a complex solid.
在这个模型中,五棱柱与一个立方体连接,组成一个更复杂的立体。

Etymology / 词源

pentagonal 来自 penta-(“五”,源自希腊语 pente)+ -gonal(“角/边相关的”,与 angle 同源),合起来表示“五角形的/五边形的”。
prism 源自希腊语 prisma,本义与“锯切/切割”有关,后用于指代具有平行底面的几何立体;因此 pentagonal prism 字面义即“五边形的棱柱”。

Related Words / 相关词

Literary Works / 文学与典籍中的用例

  • H. S. M. Coxeter:《Introduction to Geometry》(《几何学导论》)棱柱与多面体章节中常见对各类棱柱(含五棱柱)的讨论与图示
  • Harold R. Jacobs:《Geometry: Seeing, Doing, Understanding》(《几何:观察、实践与理解》)用于讲解多面体、表面积与体积的例题与插图中常见
  • I. N. Bronshtein & K. A. Semendyayev:《Handbook of Mathematics》(《数学手册》)几何体条目中常以“n-gonal prism(n棱柱)”体系涵盖五棱柱等具体类型
  • 工程制图/结构设计类教材(如 Engineering Drawing 类书籍)在零件建模与截面表达中常出现五棱柱形体作为标准构件或练习对象
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