The limacon can be found in the pattern of a snail's shell.
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The nephroid can be found in the caustics of cups, the shape of a kidney and the shape of a walnut.
how are emeralds use in everyday life
Everyday life is frequently irrational.
Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.
Erving Goffman wrote The Presentation of Self in Everyday Life.