@caribis2 seems to have the idea, @polarbrainfreeze, you still seem to be aiming a bit too complicated, so not sure if you have it.
Anything sun does NOT pass through, you cut across the short length. Anything that DOES have sun pass through you cut along the long length.
Then you have a stack of semi-circles which are your main body and support, along with a massive pile of basically twigs. Stand the twigs up in the holes you cut from them, then place a “lid” on top. Now you have one digit assembled.
No real way to do the tape method to hold things together, since when you cut the slats, they are laying flat, so tape on top of them would do nothing for you. Most slats (since the angles are vital to proper function) you will have to cut, then prop up on an angle brace, then cut again.