How Do I Produce a Design for a Geodesic Egg Shape?

I have long since dreamed of designing an egg shaped electric vehicle and I love Geodesic designs so decided on an egg shaped three wheeler. How can I create plans and designs and a cutting list for the geodesic egg please? The plan is to build it in wood and the triangles would be about 10cm in size and 0.5cm thickness to produce a really smooth design

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