Pentagons and triangles are so much more efficient!
Everything is designed for squares. You are reading this from a square monitor, typing with square keys, in front of a square table, in a square building.
Imagine if everything were based on the pentagon. Pentagonal buildings would have more floor space per wall length making them cheaper to build, and they would all fit together nicely too. Instead of being designed on a grid, cities would be on a pentagonal grid to fit the buildings. All furniture would be pentagonal to fit the diferent angles inside the pentagonal buildings. Your computer moniter would be a pentagon with penagon shaped windows inside of it and pentagon keys on the keyboard.
There would also be a lot of triangles because they would fit well inside pentagons. Cars would be triangular to fit into the five-car pentagon shaped parking spaces.Who needs two wheels in the front anyway?
I'm afraid society has already invested too much into their square culture to ever convert to pentagons. Maybe if, one day, we colonize another planet, the future humans will realize the folly of their square ancestors and do things the way they should be done. With pentagons.