V2EX glide reflection

Glide Reflection

释义 Definition

滑移反射:一种几何变换(或平面等距变换),等同于先做一次反射,再沿着反射轴方向做一次平移(或反过来做,结果等价)。常见于对称图案、壁纸图案与镶嵌(tiling)的对称性分析中。

发音 Pronunciation(IPA)

/lad rflkn/

例句 Examples

A footprint pattern can show glide reflection symmetry.
脚印的排列可能呈现滑移反射对称。

In the frieze pattern, a glide reflection combines a mirror flip with a shift along the band.
在这种带状(饰带)图案中,滑移反射把“镜像翻转”和“沿条带方向的位移”结合在一起。

词源 Etymology

glide 原意为“滑行、滑动”,来自古英语 glīdan(滑行)。reflection 来自拉丁语 reflectere(“折回、反转”),后引申为“反射/映照”。合在一起的 glide reflection 直观表达了“滑动(平移)+ 反射(镜像)”的复合变换概念。

相关词 Related Words

文学与著作 Literary Works

  • The Symmetries of Things(John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss)
  • Tilings and Patterns(Branko Grünbaum, G. C. Shephard)
  • Introduction to Geometry(H. S. M. Coxeter)
  • Geometry and the Imagination(David Hilbert, S. Cohn-Vossen)
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