From the article: "The three shapes we derived above amount to a remarkable simplification in fabrication and construction. We have decimated the complexity of the dome."
"Decimated" is the perfect word for it.
Here's a related gratuitous simplicity quote from Rich Hickey (of Clojure fame):
"Simplicity is hard work. But, there's a huge payoff. The person who has a genuinely simpler system - a system made out of genuinely simple parts, is going to be able to affect the greatest change with the least work. He's going to kick your ass. He's gonna spend more time simplifying things up front and in the long haul he's gonna wipe the plate with you because he'll have that ability to change things when you're struggling to push elephants around."