Morin surface
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The Morin surface is the half-way model of the sphere eversion discovered by Bernard Morin. It features fourfold rotational symmetry.
paper sphere eversion and Morin surface
paper Morin surface (sphere eversion halfway) with hexagonal symmetry
top view
side view
Symmetry
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In everyday life, Symmetry 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 i
Morin surface
…The Morin surface is the half-way model of the sphere eversion discovered by Bernard Morin. It features fourfold rotational symmetry. If the original sphere to be everted has its outer surface colored green and its inner surface colored red, then when the sphere is transformed through…
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.
FWF Samuel Monnier