These are known as palmar flexion creases, and their purpose is to allow the skin on our hands to bend & fold without creating obstructions which could make grabbing or holding things difficult.
The lines are developed before birth, and their form & structure is determined by ancestry and race. “Why” they are not mirror images I’m unsure, but I’d assume it’s the same as any other developmental trait, such that genes & developmental factors play a role.
Edit: just to expand on the parallelism between hands, there is likely to be some variation when compared. This is just general developmental variation, affected by many, many different things while you’re growing inside mom, such as nutrients, hormone levels, activity, maybe even temperature, etc.
Developmental biology is not well understood, and we’re still trying to figure out why things happen the way they do.
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