Query to optimize shape for semi ellipsoid shell into lattice of wooden members

Hello, I have a college pavilion installation design. I want little feedback and suggestions from this community. I want to know how I can achieve a lattice of equal line lengths, AND least number of unique joints to fabricate this form using wooden members… Also, I want your suggestions on how can I get fem or structural analysis of such structures…do that need any other engineering software or we can use grasshopper to run a real-time analysis.