This is going to be a very interesting Blog.
I am really interested in this build.
I would love to see /read the math behind it. Usually they are more practical than the text book.

The central post is 6×6. is it the same for the other post or 4×4?
Are the joist 2×8?
If carpentry is not woodworking what is?
I think Carpentry is a branch of woodworking like marquetry etc…

PS: I had an octagonal gazebo when I purchased my house but it was in a dilapidated state. Pretty much holes dug for post and no concrete. All the substructure was badly rot.
I demolished it an built a pergola in its place. I do have a nice spot where we have been thinking to erect another one.

Abbas, Castro Valley, CA