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词汇 Symmetry transformation
分类 英语词汇 英语翻译词典
释义

Symmetry transformation

中文百科

对称 Symmetry

(重定向自Symmetry transformation)
球面对称群O

对称是几何形状、系统、方程以及其他实际上或概念上之客体的一种特征-典型地,对象的一半为其另一半的镜射。

在数理上,如果称一个几何图形或物体为对称的话,即表示它是变形的不变量,而对称一词亦包含在此定义之中。若两个物体称为互相对称时,即表示其中一者的形状经几何分割后,在不变更整体形状的情况下,可以将分割片段重组为另一者,且反之亦然。

对称亦可在人类与其他动物等生物体中发现(见如下之生物内的对称)。在二维几何中,较有趣味的几种主要的对称为相对于基本之欧几里得空间等距的:平移、旋转、镜射及滑移镜射。

英语百科

Symmetry 对称

(重定向自Symmetry transformation)
Sphere symmetrical group o representing an octahedral rotational symmetry. The yellow region shows the fundamental domain.
Leonardo da Vinci's 'Vitruvian Man' (ca. 1487) is often used as a representation of symmetry in the human body and, by extension, the natural universe.
A fractal-like shape that has reflectional symmetry, rotational symmetry and self-similarity, three forms of symmetry. This shape is obtained by a finite subdivision rule.

Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, that an object is invariant to a transformation, such as reflection but including other transforms too. Although these two meanings of "symmetry" can sometimes be told apart, they are related, so they are here discussed together.

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