There were some interesting examples of buildings trying to be taller than other buildings.
For example, the Shot Tower was, at one, time the tallest structure in the US at 215 ft. 9 inches.
But when taller building started going up, amazingly, the shot tower also "grew". 20 ft in this plaque:
and another 12 feet in this article.
The moral of this story is: Don't believe everything you read. If you want to know how tall a building/structure really is, bring your trig tables and a ruler. By the way, google Shot Tower. Interesting stuff.
Here was another interesting effect of a building trying to be tall. It looked like an optical illusion.