Modeling an iglu

Hello community.
I am modeling an igloo, or at least trying to.
I have built the dome, and trying to make the tiles using the projector tool to extrude them, but it becomes really messy when reaching the top part of the structure.
I was wondering if there is an easier way to do this.

Thanks!

I don’t know about easier. It’s all about getting the sketch right before projecting it onto the dome. Here’s a close approximation.

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Thanks, Mike!
Just what I wanted.