That's a quilt that I'd love to see on display somewhere because it looks stunning, but it certainly wouldn't work in my house. I react that way to a lot of modern quilts. Maybe we need to redecorate the house to accommodate something modern here and there. As always, by the time I catch up with any trend it's passe.
As for sewing that, if I was going to try, I'd definitely use paper piecing, but it will be very difficult to work in all those points without making a noticeable misalignment. That problem would be the same with whatever method, I think. You could make the center as 4 separate blocks, but you're still going to have all the points coming into one spot.