Reflection symmetry
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In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry.
Many animals, such as this spider crab Maja crispata, are bilaterally symmetric.
Mirror symmetry is often used in architecture, as in the facade of Santa Maria Novella, Florence, 1470.
Symmetry
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Symmetry in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article.
Many animals are approximately mirror-symmetric, though internal organs are often arranged asymmetrically.
Seen from the side, the Taj Mahal has bilateral symmetry; from the top (in plan), it has fourfold symmetry.
Clay pots thrown on a pottery wheel acquire rotational symmetry.