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Symmetric
yes, it is both symmetric as well as skew symmetric
Symmetric is a term used to describe an object in size or shape. For example, you could say that an orange is symmetric to the sun or a glass is symmetric to a cone
A sponge is neither bilateral or radial symmetric. It doesn't have any symmetry.
A Bessel function is any of a class of functions which are solutions to a particular form of differential equation and are typically used to describe waves in a cylindrically symmetric system.