The question naturally arises why nature exhibits this mathematical expression. A complacent and plausible explanation would be that it was an act of the evolutionary selection process (in the case of animals). A symmetrical body would give us the advantage in standing upright, against gravity. Assymetricality would mean a 'couple' (the couple/torque of physics: and not husband and wife!) working on the body, thus making it fall.
We should not nevertheless, ignore the plants' own aptitude in mathematics too. They are expert in number theories, in that, they exhibit Fibonacci
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Lets discuss the point why and how we are symmetrical. When a sperm meets and combines an ovum, a zygote is formed. The cells in this zygote multiplies resulting in a ball kind of stuff, called the blastocyst. In this sphere like stuff, only the central portion remains, in the form of a disk, while the rest of the sphere disappears. This central disk then differentiates (=evolves into different kinds of tissues) into three layers: an outer ectoderm, an inner endoderm and an intervening mesoderm sandwiched between them. Now this three layered disk then folds in such a way so that the edges of the disks appose and merge. This merging point is the navel or umbilicus (and other midline structures), via which the fetus gets nutrition from the placenta, via the umbilical cord. The limbs like arms or legs form as an offshoot from this folded structure. No wonder then, that the growing fetus will be symmetric, since the left and the right halves including the limbs are forming almost identically from a single entity.
Dysmorphisms do occur though, despite all this. In the case of other animals too, this same kind of embryogenesis is seen (and expected too), as ontogeny repeats phylogeny.
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