Suppose $f_n$ is fibonacci sequence $$f_1=1,f_2=1, f_{n+2}=f_{n+1}+f_n$$ I see many visual proof for fibonacci formulas . Is there a visuall proof for $$f_{n+1}^2+f_n^2=f_{2n+1}$$
2026-04-12 11:35:41.1775993741
Visual proof for $f_{n+1}^2+f_n^2=f_{2n+1}$
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Easy to show that $$f_{n+1}f_{n+2}-f_{n-1}f_{n}=f_{2n+1}$$