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单词 glide reflection
释义

Definition of glide reflection in English:

glide reflection

noun
Mathematics
  • A transformation consisting of a translation combined with a reflection about a plane parallel to the direction of the translation.

    〔数〕滑移反射

    Example sentencesExamples
    • The axes of the glide reflections aren't shown, but they are midway between parallel reflection axes.
    • Since translations and reflections are both isometries, a glide reflection is also an isometry.
    • Because of this, we say the tiling is symmetric with respect to reflections and glide reflections.
    • There is an axis of a glide reflection without parallel axis of a reflection to it.
    • Thus, the four symmetry operations are reduced to two operations - rotation and glide reflection.

Definition of glide reflection in US English:

glide reflection

noun
Mathematics
  • A transformation consisting of a translation combined with a reflection about a plane parallel to the direction of the translation.

    〔数〕滑移反射

    Example sentencesExamples
    • Since translations and reflections are both isometries, a glide reflection is also an isometry.
    • Thus, the four symmetry operations are reduced to two operations - rotation and glide reflection.
    • Because of this, we say the tiling is symmetric with respect to reflections and glide reflections.
    • There is an axis of a glide reflection without parallel axis of a reflection to it.
    • The axes of the glide reflections aren't shown, but they are midway between parallel reflection axes.
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更新时间:2025/6/18 21:15:38