After thinking about this, I think I'm going to need to roll the dice. Even though the grain lines are pretty straight, they're not as straight as the joint would be and coloring the gaps will make them more obvious.
Great idea on the veneer, but I don't think it will work on this project.
With that in mind, any ideas on how to make all eight joints perfect? When you're making 16 cuts of 22.5 degrees each, even the tiniest inaccuracy will make one of the pieces not fit perfectly. I see two small gaps, the worst of them is .012
What do y'all think?