find out possible flat surfaces of a sphere

I am having to build a polyethylene sphere, actually a helium balloon. The sphere is going to be approximately 4 meters in diameter.

Since I am getting a flat roll of polyethylene sheet, i was wondering if solidworks has the ability to export possible number of flat pieces that make up a sphere or closely one.

I would be grateful for the help or suggestion of any other engineering tools. Thank you.

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